When you arrived to the equation of the acceleration in parallel direction you performed a quick check if it make sense by checking the units of the both sides. You said that it is ok since g has units of meters per seconds squared and mu and theta are dimensionless. And yes both sides match, but your motivation was wrong. Theta has units: degrees, or radians or whatever angular dimension you choose. Its sine and cosine are actually dimensionless
Hi Lyubomir, angles don't have units. Radians, for example, are defined by taking an arc length around a circle and dividing by the radius, so the units cancel out. You can't take the cosine or sine of a quantity with units.
@@PhysicswithElliot Hum... You are actually right... (Face palm my self). I was going to ask "But what about angular velocity, then?", and then I realize (for the first time) it actual dimension is 1/time... I am going to eat my diploma...
@@PhysicswithElliot Physics won't break if you define a full circle as being 360 degrees. If you kept radians everywhere ignoring the fact that they are dimensionless, you would find that out that they will behave like any other units and then you can even check if you take a sine of radians everywhere (and if you don't, you've made a mistake).
This channel is so underrated, I wish I found it before. Thanks for the great material and explanations.
Thanks Mohammed!
Beautifully explained.
Thank you.
3:30 The core of the explanation.
amazing explanation, and I especially enjoyed the question sheet!
Yay! We get to see your face!
Awesome explanation and great tips. Thanks very much!
Hello Elliot, what software do you use to make the sketches? Is it Notability, or the native iPad notes app? :)
Procreate!
@@PhysicswithElliot Cool, thanks!
I had to write about a topic for my high school project, and i wrote a paper deriving the same things as you :)
When you arrived to the equation of the acceleration in parallel direction you performed a quick check if it make sense by checking the units of the both sides.
You said that it is ok since g has units of meters per seconds squared and mu and theta are dimensionless. And yes both sides match, but your motivation was wrong. Theta has units: degrees, or radians or whatever angular dimension you choose. Its sine and cosine are actually dimensionless
Hi Lyubomir, angles don't have units. Radians, for example, are defined by taking an arc length around a circle and dividing by the radius, so the units cancel out. You can't take the cosine or sine of a quantity with units.
@@PhysicswithElliot Hum... You are actually right... (Face palm my self). I was going to ask "But what about angular velocity, then?", and then I realize (for the first time) it actual dimension is 1/time... I am going to eat my diploma...
@@PhysicswithElliot Physics won't break if you define a full circle as being 360 degrees. If you kept radians everywhere ignoring the fact that they are dimensionless, you would find that out that they will behave like any other units and then you can even check if you take a sine of radians everywhere (and if you don't, you've made a mistake).
Avoid using 45° deg angles
Projectile plz
You cannot be underdone by a novice student. Don't use jargon without defining them. That is what god teachers do.
First 60 seconds are perfectly clear...rest of video,well...🙄