Me with a time machine Creator of Homework:Dead Creator of school:dead Creator of Maths:deas Creator of Arxhimedes Princepicel:Not dead Me:looks like i need to go again
The goldsmith knew that was exactly what the king would do. So, he made sure the mass is equal. But, that means he had to fiddle with the volume because the mass of gold does not equal the mass of silver. Thus, the key was in the volume.
We can still defeat it by adding something a lot denser than gold in the equation, and balancing it by mixing with a lighter material to achieve a close enough overall density and volume to gold, then just add a thin layer of gold on the outer surface, maybe using a technique like galvanizing. Sadly the blacksmith didn't have access to such complicated techniques of cheating nor wise advisors, hence he got caught.
Awesome story and awesome animation. This TEDEducation-thing is a really great concept! I haven´t seen many of the other videos though, so it might be just this one, but just so you know for future videos: The humming noise in the background can probably be removed quite easily with the help of Adobe Soundbooth :)
This was mention in our class before, ( i forgot if it's during my elem or high school days) our teacher left us hanging on what did this philosoper found out after putting the crown in the bath ( or so like that) after many yeaars, here I am at last.
It is important to realise that the concept that a submerged object displaces a volume of fluid equal to its own volume is not Archimedes' principle. Archimedes' principle, equates the buoyant force to the weight of the fluid displaced.
I understood everything but at the end of the video why was the water level of the container which contained the crown in it higher than the container of pure gold ???
I guess since crown was less dense, then the amount of water that is removed from container is also less. that is why we see the level of (the remaining) water in crown's container is higher than the one with pure gold in it.
+Reality Acceptor Mass of the crown and the coins is same. Volume differs. Less denser Crown will displace less amount of water. As the coins have more density, the amount of water displaced is also more.
I feel its this mass that has the relevance in the story, the mass of the crown and the gold are the same but when placed in the water the silver crown displaces more water than the gold because it requires more material to be of equal weight.. That's what I get from the story. I could be wrong.
From Wikipedia: "Archimedes' principle is a law of physics stating that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces. In other words, an immersed object is buoyed up by a force equal to the weight of the fluid it actually displaces." So I think that the end of the video is wrong...
I'm a civil engineer studying buoyancy by Archimedes principle right now and i wanted to see who this Archimedes was. So happy i stumbled into this 11 year old video 😂
In those days SG was not used although Density of substances was. Archimedes was well versed in boyancy of boats. What he noticed was that when got out of the bath that ran over when he tried to float in the bath, the volume now missing was the same as his body. He could now make a 'milli-cubit' cube of gold to determine exactly the 'Relative-density' of gold to water. The story goes on and on.
This is not archimedes' principle. The principle states: "the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by that object."
You're right, but Wikipedia wasn't wrong. An object suspended in a fluid, displaces fluid until it has displaced fluid whose weight is equal to it's own, up to the volume of the object. Obviously it can't displace more than it's volume, but it can displace less than it's volume if it's light enough that it isn't fully submerged. Think of two identically sized balls, one heavy, one light. The light one floats, so only a portion of it's volume is displaced, but all of it's weight is. The heavy one
The story is about losing sense, staying clean and knowing science. And that what one learns is of importance which matters to all those who know science. Science is for understanding and maths is for calculating for use.
Suppose the crown has enclosed air bubbles. It still would be of pure gold but would have a bigger volume than the coins. So the crown has to be melt to get rid of the extra volume of the bubbles. For sure, the amount of extra volume from the bubbles must not lead to a total density of the crown which is below the density of water. Because then the crown would swim.
If we take a ball of same weight and volume. The buoyancy and weight will be balanced so if we put the ball on height 'h' from top then will it go up (float), or it will go down (sink) OR it will be on 'h' height only (as it is not practically possible that an object stays the place where it was)
Lesser known story: after the goldsmith was executed, Archimedes reached down into the water to grab the crown and a large air pocket was released, lowering the level of water down to where it should be. There were red faces all around, you can count on that!
Thanks for the video. Why would an object with the exact same volume and shape move more water if it's silver than if it was made of gold? I don't get why a lighter density object would move more water that a higher density one? The mass and volume are exactly the same after all...
if the mass and volume were same, the density of both the crowns would be same. gold is heavier than most metals, hence the mass is not same leading to different density.. volume and density have inverse relationship that is less volume = more density and vice versa. hence a lighter density object will occupy more space leading to move more water...
What they call Archimedes' principle in this video is not actually Archimedes' principle. The real Archimedes' principle is that the measured weight of the crown diminishes by the weight of the displaced water. "Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object." -- Archimedes.
The diagram at 2.36 displays the displacement in the jug with the crown wrong. The water level should be less than the gold if silver was used to make up the crown and hence it was less dense than a crown made of gold only.
Brian Carroll Not necessarily, the displacement of the water is in relation to volume not density. The density of the metal does not affect the displacement of the water, the displacement is related to the total volume of the metal. A more classical example of the Archimedes principle the crown is balanced on a scale with gold. The crown is an irregular shape so it is difficult to determine its volume however in this case if it were pure gold then their volume would be the same no matter the shape (if you melted the crown and the coins down they would make the same size square). However, silver is less dense (lighter than gold) and as a result requires more volume to achieve the same weight as gold. Therefore if you were to balance a crown with silver in it on scales with pure gold the crown would have a greater total volume than the pure gold does. And as a result a greater displacement in the water. So the illustration on the video is in fact correct (although very exaggerated). In other words, the crown and the same amount of gold are equal to one another. But due to the shape of the crown you cannot tell if it has the same volume. The weigh the same but do not have the same volume and the displacement in water can determine the volume of any object regardless of its weight.
Ok I think I figured what's wrong here. @ 1:20 he says that how much water is displaced depends on how much of the liquid is immersed which gives an incorrect inference that the amount of displaced liquid depends on the volume of the Crown. If this were true then the amount of water displaced by a crown made up of gold and a crown made up of gold with some silver ( or a crown made fully of silver for that matter) would be the same if they were to both fully immerse ( which they should), since they have the same volume. The correct explanation is that the weight of the water displaced is proportional to the weight of the object fully or partially immersed in it.
You really shouldn"t rely on wikipedia for knowledge tasos. The Archimedes principle is all about volume (not weight), based on the fact that water (and all fluids) are practically incompressible. The video has it right.
Can someone help me understand. If something has a higher density than another object of same volume. It weights more. Doesn't it? So why didnt they just weight the crown, and compare it to the weight of the ammount of coins he gave? if someone can explaine it to me, id be very gratefull.
when was in 6th standard, I have participated in my school speech competition about science and how it's useful to us. that time , I have mentioned this story and I won the1st price becz of this story. the funny thing is I have forgotten the word Eureka so I have translated it in my language Tamil " kandupudichitten ( discovered it)"
I am very sorry to tell you that this is very likely wrong. There is no way that the goldsmith makes the crown according to the volumn given by the king. Its very hard to measure the volumn of the crown at that time, so its more likely to measure the weight of the gold privided by the King. The goldsmith, if he knew cheating on King will result in deadth, he will most likely make a crown of the same weight of the gold provided if he wanted to cheat. Thus, the more reasonable way is to make the crown of the same weight, which means it would be larger in volumn.
Great job! But as you said silver is less dense so submerged crown should show less increase in water level compared to when pure gold coins are submerged. In the animation, it was showing the opposite! Thanks again :)
No ..., since silver is less dense, in order to match the required weight of crown, more material should be included which increases volume... So, for given mass pure gold displaces lesser volume than silver
The only error is that it mentions the King of Sicily, when the title of the ruler Archimedes served under had the title of tyrant, and he did not control all of Sicily, just the city of Syracuse and the surrounding area.
Well, If the king knew how much gold he gave to the goldsmith, he could have kept the crown and the gold he gave to the goldsmith on a weighing balance(Weighing balance was an ancient weighing machine). Well, silver was less denser than gold. So, this means that the weight of the crown would also be lesser than the amount of gold he gave to the goldsmith. Guys, please tell me your opinions on my thinking. I may be wrong I don't know :'))
That's just a suggestion on how to avoid this problem in the future, but doesn't actually solve the kings current problem. So your theory is right, but your thinking is wrong.
This video is actually not describing the archimedes priciple, just a mass/volume/density video. The priciple refers to buoyancy force that acts on objects in liquids/gases.
what about the wastage of gold that goes into making the crown, then the volume of the crown has to be less than the volume of all pure gold coins combined, right?
Jola Laguda If the missing gold is naked to the human eye, then shouldn't someone performing Archimedes's test also be unable to tell that there is anything missing? For example, if the king had 23 grams of gold, and the goldsmith used 22.99999 grams of gold, with 0.00001 grams being left on his workbench in the form of minuscule shavings, then Archimedes's would only see the weight of the gold as 23 grams on their scale?
Doesnt matter! The density have to be the same! If u have 1kg of pure gold is the same density as a ton of pure gold! The mass divided by volume give u the density of the object! They saw the crown have different density than gold! That means its not pure gold!
it was found out that the mass of the gold crown was the same as that of the actual amount of gold given to the goldsmith. The video says that the volume of the crown would be the same as the volume of actual gold. how could Archimedes then figure out that the density of the crown was less than that of pure gold (both the mass and volume are same)?
They got the same amount of gold used to make the crown and compared it to the crown, if the crown has less density than the gold that was given then you can clearly see the crown has had silver put in it
The title is missleading. The video has nothing to do with Archimedes principle. It is about discovery how to find the volume of an irregular shape. The Archimedes principle came later.
this is an amazing video, witty and educational, does it jovb very well, wonder if there are more science videos like this, science would be so much fun then!!!!11
This isn't what the video was talking about. An object suspended in a fluid displaces it's own weight in that fluid, up to it's volume. If it can displace it's own weight, it floats. If it can't, it sinks.
Since my teacher showed this to my class 30 people watched it but it counted as 1 view. So I felt bad and watched the video again to give you more views. Nice video!
at 1:50 the video says that by definition the gold and silver crowns would be the same shape (i.e. would have the same volume). That implies that from certain amount of raw gold material you would expect an exact shape and size of a crown. At this point you could put the fake crown and the raw gold material that goes into its production (implying 100% of it ends up on the crown) on a scale and you would end up knowing which has bigger density. Where does the water displacement comes in if the volume is the same by definition - either I am missing something big time or all these explanations are nonsense..
I think the explanation described here is incomplete to the point of error !!! You will only obtain the mass of the item if it just floats which will not be the case with a mixture of silver/gold in water. The volume of the crown is obtained by lowering it in to a fluid and measuring the volume of water displaced. A pure gold item is made of ANY shape but having the same volume as the crown which was determined by the volume of water displaced. Then the weight of the two items is compared on a balance. One side the crown the other the pure gold. ONLY if a balance is obtained is the crown pure gold. Thank you hehehehehe
divvy1400yam600 I think the explanation in the video is clear. A crown is weighed to equal weight in gold. Then the crown is submerged in water and the displacement checked and compared to the equal weight of gold. If crown has silver in it then there is a greater displacement in the water than the pure gold.
I think the explanation is correct but one of the illustrations near the end is misleading... it shows the crown displacing more volume of water than the gold pieces. If the goldsmith was a skillful thief, the volume would be the same, but the mass of the crown would be less than the mass of the gold pieces paid to the goldsmith.
+Jackie Ei The vid explicitly states that Archie after having found the volume by immersion in a fluid proceeded to calculate the density. Considering gold/water then that cannot be done directly hence the video is wrong. As I stated 1 year ago only if the crown just floats is it possible. ! That is because the volume of water displaced would have the same mass as the crown. This not the case; the crown sinks hence the video is wrong. Sorry but i am confident what I am saying is correct. Anyone think otherwise ?
Conny Sackwitz hey! That’s what my friend asked today in class lol, although your question is a good one I can answer it! no an air bubble can get trapped, it would simply slide to the top👆
ok, check anywhere you like. Archimedes' principle is about buoyancy. (κοίτα και το βιβλίο της Φυσικής της Γ'γυμνασίου, σελ. 79). So the end of the video (2:35-2:40) is wrong !
Density is proportional to mass..so increase in mass will imply increase in density but inversely proportional to volume meaning less of vol more of density. So u hv to measure it taking both into account for clear results.
The original showerthoughts
Flatx1 finally a decent comment not complaining about the video.
Me with a time machine
Creator of Homework:Dead
Creator of school:dead
Creator of Maths:deas
Creator of Arxhimedes Princepicel:Not dead
Me:looks like i need to go again
😂😂😂
For real
LOL
The goldsmith knew that was exactly what the king would do. So, he made sure the mass is equal. But, that means he had to fiddle with the volume because the mass of gold does not equal the mass of silver. Thus, the key was in the volume.
I think this part of explanation was missing in the video!
We can still defeat it by adding something a lot denser than gold in the equation, and balancing it by mixing with a lighter material to achieve a close enough overall density and volume to gold, then just add a thin layer of gold on the outer surface, maybe using a technique like galvanizing. Sadly the blacksmith didn't have access to such complicated techniques of cheating nor wise advisors, hence he got caught.
Thought the title was ‘how taking a bath led to Archimedes’ Pimples’ instead of principals.
My teacher showed this video to my class, thank you!
Lucianna Gaming And More! Me too
No one:
Literally no one:
Video: BATH IS MAKING HISTORY
Awesome story and awesome animation. This TEDEducation-thing is a really great concept! I haven´t seen many of the other videos though, so it might be just this one, but just so you know for future videos: The humming noise in the background can probably be removed quite easily with the help of Adobe Soundbooth :)
This was mention in our class before, ( i forgot if it's during my elem or high school days) our teacher left us hanging on what did this philosoper found out after putting the crown in the bath ( or so like that) after many yeaars, here I am at last.
It is important to realise that the concept that a submerged object displaces a volume of fluid equal to its own volume is not Archimedes' principle. Archimedes' principle, equates the buoyant force to the weight of the fluid displaced.
basically you are the only one recognising it in this comment area :(
2:48 I watched this in science and at that moment exactly that was a half dab and I pointed it out and the reaction was 9.9/10
wdum
thumbs up if you watched the video for science class xD
Nic Lemaire i watched this so i can learn about gold/silver precious metal testing
Nic Lemaire Critical thinking class here :P
+Nic Lemaire I watched it for a math class
math
Nic Lemaire I watched it while watching Pinoy Big Brother (Philippines).The show is creating a boat that must float in a swimming pool
Thank you so much for the concise yet useful information given in these videos. They definitely help me in a lot of my homework and studies :)
Beautiful animation and great story. I'm going to show this to my eighth graders this week. Thanks TED-ED!
did they like it
@@cloudeie 10 years late buddy
@@livinlife123 5 months late buckaroo
@@cloudeiethey already graduated from college by now lmao
@@xtcyrafa ok but did they like it
I understood everything but at the end of the video why was the water level of the container which contained the crown in it higher than the container of pure gold ???
+Reality Acceptor
It must be a mistake by the animators. Since the crown was less dense the displacement of water should have been less too.
I guess since crown was less dense, then the amount of water that is removed from container is also less. that is why we see the level of (the remaining) water in crown's container is higher than the one with pure gold in it.
volume is the same, which means mass wont have any effect
+Reality Acceptor Mass of the crown and the coins is same. Volume differs. Less denser Crown will displace less amount of water. As the coins have more density, the amount of water displaced is also more.
+Pavan Sai volume is independent of density my dear
I didn't get archimedes' principle at all before, but now I think I get it! This video has helped my physics grade a lot
THANKS FOR DOING MY HOMEWORK!!!
c: i needed to research about that dude, now i have it all
in a simple entertaining vid.
2020 we learn and I just cheat it
Though I learned this during the early years in High School, this is certainly refreshing...
I feel its this mass that has the relevance in the story, the mass of the crown and the gold are the same but when placed in the water the silver crown displaces more water than the gold because it requires more material to be of equal weight..
That's what I get from the story. I could be wrong.
who watched this in science class?
Vyx Comrade Yoshi me😭
Me lmao
Fr 💀
who's watching this on 2016, anw i love it easy explanation on what is archimedes principle. thanks
I love the story of the medics bird... Yes i'm a nerd
Asyraf Cboy I'm watching in 2017 😂🤛🏼
me toooooooo
im studing this in 5th grade
Pause at 1:23
I think that this should be shown in schools, Its better than most of my teachers.
THAT MAN WAS SUPER SMART FOR HIS TIME
Many ancient Greeks were geniuses. They even calculated the circumference of the Earth
From Wikipedia:
"Archimedes' principle is a law of physics stating that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces. In other words, an immersed object is buoyed up by a force equal to the weight of the fluid it actually displaces."
So I think that the end of the video is wrong...
isnt the water in the bucket which has crown should be lesser than the that with gold coins, right?
I'm a civil engineer studying buoyancy by Archimedes principle right now and i wanted to see who this Archimedes was. So happy i stumbled into this 11 year old video 😂
In those days SG was not used although Density of substances was. Archimedes was well versed in boyancy of boats. What he noticed was that when got out of the bath that ran over when he tried to float in the bath, the volume now missing was the same as his body. He could now make a 'milli-cubit' cube of gold to determine exactly the 'Relative-density' of gold to water. The story goes on and on.
Pov: You came back to this video after class to either comment or rewatch it because you forgot the answer to a question from your notes
This is not archimedes' principle. The principle states: "the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by that object."
This is so helpful thank you 🙏 I needed this for my coronavirus home schooling 😂 I had to make a comic out of this thank you so much 😊
Meh too
Gene De Leon wow same yall
You're right, but Wikipedia wasn't wrong. An object suspended in a fluid, displaces fluid until it has displaced fluid whose weight is equal to it's own, up to the volume of the object. Obviously it can't displace more than it's volume, but it can displace less than it's volume if it's light enough that it isn't fully submerged. Think of two identically sized balls, one heavy, one light. The light one floats, so only a portion of it's volume is displaced, but all of it's weight is. The heavy one
The story is about losing sense, staying clean and knowing science. And that what one learns is of importance which matters to all those who know science. Science is for understanding and maths is for calculating for use.
Suppose the crown has enclosed air bubbles. It still would be of pure gold but would have a bigger volume than the coins. So the crown has to be melt to get rid of the extra volume of the bubbles. For sure, the amount of extra volume from the bubbles must not lead to a total density of the crown which is below the density of water. Because then the crown would swim.
simple & yet perfect story
If we take a ball of same weight and volume. The buoyancy and weight will be balanced so if we put the ball on height 'h' from top then will it go up (float), or it will go down (sink) OR it will be on 'h' height only (as it is not practically possible that an object stays the place where it was)
Wonderful Animation and story telling. Great job!
But something feels wrong here with the explanation.
Anybody from 2024 >>> 👇🏻
I have started to watch the videos from the oldest ones 😂😅
me
Me
Bravo! Best explanation ever.
Lesser known story: after the goldsmith was executed, Archimedes reached down into the water to grab the crown and a large air pocket was released, lowering the level of water down to where it should be.
There were red faces all around, you can count on that!
Thanks for the video.
Why would an object with the exact same volume and shape move more water if it's silver than if it was made of gold? I don't get why a lighter density object would move more water that a higher density one? The mass and volume are exactly the same after all...
if the mass and volume were same, the density of both the crowns would be same. gold is heavier than most metals, hence the mass is not same leading to different density..
volume and density have inverse relationship that is less volume = more density and vice versa. hence a lighter density object will occupy more space leading to move more water...
@@aditithomas291 But if the outer size and shape are the same they should move the same amount of water. Where does the extra water come from?
Question. Shouldn't there be more water in the bucket where the coins are? (2:26)
yes, probobly an error in the animation
If the coins are more dense, they will take up more volume, so the video is correct.
Ya I saw that too. I reminded the video twice to see if I understood wrong 😂
What they call Archimedes' principle in this video is not actually Archimedes' principle. The real Archimedes' principle is that the measured weight of the crown diminishes by the weight of the displaced water. "Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object." -- Archimedes.
yea ur right Archimedes' principle deals with the upthrust experienced by a body immersed in a fluid.
The diagram at 2.36 displays the displacement in the jug with the crown wrong. The water level should be less than the gold if silver was used to make up the crown and hence it was less dense than a crown made of gold only.
Brian Carroll
Not necessarily, the displacement of the water is in relation to volume not density. The density of the metal does not affect the displacement of the water, the displacement is related to the total volume of the metal.
A more classical example of the Archimedes principle the crown is balanced on a scale with gold. The crown is an irregular shape so it is difficult to determine its volume however in this case if it were pure gold then their volume would be the same no matter the shape (if you melted the crown and the coins down they would make the same size square). However, silver is less dense (lighter than gold) and as a result requires more volume to achieve the same weight as gold. Therefore if you were to balance a crown with silver in it on scales with pure gold the crown would have a greater total volume than the pure gold does. And as a result a greater displacement in the water. So the illustration on the video is in fact correct (although very exaggerated).
In other words, the crown and the same amount of gold are equal to one another. But due to the shape of the crown you cannot tell if it has the same volume. The weigh the same but do not have the same volume and the displacement in water can determine the volume of any object regardless of its weight.
This is one of the better TED ED's. :D
luv the ending •~• I’ll be like him someday : >
Thanks for clearing my doubts regarding this topic
Archimedes: Greatest mathematician of antiquity.
Thank you for the video
Archimedes Syracuse u
eryffhig
BEST STORY EVER!
These type of science stories are often exaggerated or outright lies
So helpful. I could use it to answer a homework Question.
THANKS!!
I love the idea of having this Kind of channel
Eureka!!!!
Ok I think I figured what's wrong here.
@ 1:20 he says that how much water is displaced depends on how much of the liquid is immersed which gives an incorrect inference that the amount of displaced liquid depends on the volume of the Crown. If this were true then the amount of water displaced by a crown made up of gold and a crown made up of gold with some silver ( or a crown made fully of silver for that matter) would be the same if they were to both fully immerse ( which they should), since they have the same volume.
The correct explanation is that the weight of the water displaced is proportional to the weight of the object fully or partially immersed in it.
listen to the whole thing dude
Wow even after a few years I needed this for Science Class lol
You really shouldn"t rely on wikipedia for knowledge tasos. The Archimedes principle is all about volume (not weight), based on the fact that water (and all fluids) are practically incompressible. The video has it right.
From this video, I actually learned something. At school, unless maybe they showed this video, I'd never understand it
Can someone help me understand.
If something has a higher density than another object of same volume. It weights more. Doesn't it?
So why didnt they just weight the crown, and compare it to the weight of the ammount of coins he gave?
if someone can explaine it to me, id be very gratefull.
there were no levers or weight measurements on that time and it was a very big challenge for archimedes to solve the problem.
Ohhhh I never forget this principle through out my life
when was in 6th standard, I have participated in my school speech competition about science and how it's useful to us. that time , I have mentioned this story and I won the1st price becz of this story. the funny thing is I have forgotten the word Eureka so I have translated it in my language Tamil " kandupudichitten ( discovered it)"
I am very sorry to tell you that this is very likely wrong. There is no way that the goldsmith makes the crown according to the volumn given by the king. Its very hard to measure the volumn of the crown at that time, so its more likely to measure the weight of the gold privided by the King. The goldsmith, if he knew cheating on King will result in deadth, he will most likely make a crown of the same weight of the gold provided if he wanted to cheat. Thus, the more reasonable way is to make the crown of the same weight, which means it would be larger in volumn.
Great job! But as you said silver is less dense so submerged crown should show less increase in water level compared to when pure gold coins are submerged. In the animation, it was showing the opposite! Thanks again :)
No ..., since silver is less dense, in order to match the required weight of crown, more material should be included which increases volume... So, for given mass pure gold displaces lesser volume than silver
I don't understand how you came to that conclusion
this is epic needed this for science pog
The only error is that it mentions the King of Sicily, when the title of the ruler Archimedes served under had the title of tyrant, and he did not control all of Sicily, just the city of Syracuse and the surrounding area.
Well, If the king knew how much gold he gave to the goldsmith, he could have kept the crown and the gold he gave to the goldsmith on a weighing balance(Weighing balance was an ancient weighing machine). Well, silver was less denser than gold. So, this means that the weight of the crown would also be lesser than the amount of gold he gave to the goldsmith.
Guys, please tell me your opinions on my thinking. I may be wrong I don't know :'))
That's just a suggestion on how to avoid this problem in the future, but doesn't actually solve the kings current problem. So your theory is right, but your thinking is wrong.
@@JesseLegend149 well I think that so.
It was to find out the density of the crown,since density=mass/volume and the densities of gold and silver are different
i dont get it Density = Mass divided by volume so how did archimedes calculate Mass?????
by using a simple scale to compare the mass of the 2 objects
This video is actually not describing the archimedes priciple, just a mass/volume/density video. The priciple refers to buoyancy force that acts on objects in liquids/gases.
what about the wastage of gold that goes into making the crown, then the volume of the crown has to be less than the volume of all pure gold coins combined, right?
Any self respecting goldsmith would return the excess gold to the customer.
+Merlon what if the excess was gold shavings, hard to see with the human eyes but still have an impact in the net weight of the crown?
Jola Laguda If the missing gold is naked to the human eye, then shouldn't someone performing Archimedes's test also be unable to tell that there is anything missing?
For example, if the king had 23 grams of gold, and the goldsmith used 22.99999 grams of gold, with 0.00001 grams being left on his workbench in the form of minuscule shavings, then Archimedes's would only see the weight of the gold as 23 grams on their scale?
Merlon good point, I guess I was thinking in terms of really haphazard metal work
Doesnt matter! The density have to be the same! If u have 1kg of pure gold is the same density as a ton of pure gold! The mass divided by volume give u the density of the object! They saw the crown have different density than gold! That means its not pure gold!
it was found out that the mass of the gold crown was the same as that of the actual amount of gold given to the goldsmith. The video says that the volume of the crown would be the same as the volume of actual gold. how could Archimedes then figure out that the density of the crown was less than that of pure gold (both the mass and volume are same)?
They got the same amount of gold used to make the crown and compared it to the crown, if the crown has less density than the gold that was given then you can clearly see the crown has had silver put in it
The title is missleading. The video has nothing to do with Archimedes principle. It is about discovery how to find the volume of an irregular shape. The Archimedes principle came later.
wow! that was just pure genius!
this is the 1st ted ed lesson i understand
this is an amazing video, witty and educational, does it jovb very well, wonder if there are more science videos like this, science would be so much fun then!!!!11
Wikipedia says this is not Archimedes Principle en.wikipedia.org/wiki/Eureka_(word)#Archimedes
This isn't what the video was talking about. An object suspended in a fluid displaces it's own weight in that fluid, up to it's volume. If it can displace it's own weight, it floats. If it can't, it sinks.
1:22 port city on California was named after the same thing that guy said
Thank you! I have a nice movie to show in my lesson about the Archimedes principle!
I was fascinated when my physics teacher told this story to my class in middle school :D
Since my teacher showed this to my class 30 people watched it but it counted as 1 view. So I felt bad and watched the video again to give you more views. Nice video!
at 1:50 the video says that by definition the gold and silver crowns would be the same shape (i.e. would have the same volume). That implies that from certain amount of raw gold material you would expect an exact shape and size of a crown. At this point you could put the fake crown and the raw gold material that goes into its production (implying 100% of it ends up on the crown) on a scale and you would end up knowing which has bigger density. Where does the water displacement comes in if the volume is the same by definition - either I am missing something big time or all these explanations are nonsense..
Thank u TED for dis video....
Would a pure gold crown be too soft ?
Sultanofswing gold is heavy...
i subscribed from the beginnning of this channel and watched almost all of them. My previous comment was only a joke. I still liked the video.
I think the explanation described here is incomplete to the point of error !!!
You will only obtain the mass of the item if it just floats which will not be the case with a mixture of silver/gold in water.
The volume of the crown is obtained by lowering it in to a fluid and measuring the volume of water displaced.
A pure gold item is made of ANY shape but having the same volume as the crown which was determined by the volume of water displaced.
Then the weight of the two items is compared on a balance.
One side the crown the other the pure gold.
ONLY if a balance is obtained is the crown pure gold.
Thank you hehehehehe
Yes something is quite wrong.
divvy1400yam600
I think the explanation in the video is clear. A crown is weighed to equal weight in gold. Then the crown is submerged in water and the displacement checked and compared to the equal weight of gold. If crown has silver in it then there is a greater displacement in the water than the pure gold.
I think the explanation is correct but one of the illustrations near the end is misleading... it shows the crown displacing more volume of water than the gold pieces. If the goldsmith was a skillful thief, the volume would be the same, but the mass of the crown would be less than the mass of the gold pieces paid to the goldsmith.
+Jackie Ei
The vid explicitly states that Archie after having found the volume by immersion in a fluid proceeded to calculate the density.
Considering gold/water then that cannot be done directly hence the video is wrong.
As I stated 1 year ago only if the crown just floats is it possible. !
That is because the volume of water displaced would have the same mass as the crown.
This not the case; the crown sinks hence the video is wrong.
Sorry but i am confident what I am saying is correct.
Anyone think otherwise ?
+louisb False.
You dont understand archie's principle !
You have to proceed to weight comparison via first establishing EQUAL volumes!
TedEd, You Guys are idols :),
Must Be popular
My teacher told us to watch this video for making notes for the chapter but when I saw this 1:21 I think it's a biologi class 🤑🤑🤣🤣🤣😂😂😂😆😆
Helped with my project!!!!!!!!!! Thanks!!!!!!
But.. wouldn’t the crown always be less than the raw materials since the crown gets forged and shaped which isn’t 100% efficient process?
incredible! nice job and thanks!
but what if there was just an airbubble inside somewhere?
:O
Well it doesn't matter because that still means the gold Smith cheated him
Conny Sackwitz hey! That’s what my friend asked today in class lol, although your question is a good one I can answer it! no an air bubble can get trapped, it would simply slide to the top👆
No when he said eureka he had an epiphany. A realization.
But, won't the gold coins have a different volume to the gold+silver crown at the end?
Interesting, it's great to know where the famous eureka phrase comes from.
You are the best @TedEd
wait so in the video, it looks like the crown displaces more water. should it not be the other way around?
Thank you
best chanell ever , love it !!
actually , many people say the same story
but the original one is a little bit different
What is the real story, please can i have some knowledge about it- i doubt it is the ship vessel 🚢 one, am i right? Let me know
Regards.
i'm going to learn about this tomorrow
Pause at, 1:23
ok, check anywhere you like. Archimedes' principle is about buoyancy. (κοίτα και το βιβλίο της Φυσικής της Γ'γυμνασίου, σελ. 79). So the end of the video (2:35-2:40) is wrong !
Density is proportional to mass..so increase in mass will imply increase in density but inversely proportional to volume meaning less of vol more of density. So u hv to measure it taking both into account for clear results.