Understanding Angular velocity, Omega t (wt), Sine, Unit Circle and Phase difference

1080 HD - chapters shown below
00:00 Contents
00:25 Y=A Sin(wt) - describing Sine Wave features
00:45 The unit circle
01:11 Sine values for radians and degrees in a right-angled triangle
02:38 Y=A Sin(wt) - describing Sine Wave features
03:17 Understanding Omega (Angular velocity)
04:02 Animation of Sine Function, Unit Circle where f=1Hz
04:37 How Omega affects a Cartesian Sine graph, with formulae
05:58 How Omega affects wavelength, frequency and period
07:48 Visualising wt as an angle - two equations to choose
08:41 Visualising wt with frequency
09:13 Visualising wt with period / time
10:25 real-time animations as w Omega changes
11:36 Converting between radians and degrees (and vice versa)
12:10 Tips regarding engineering trig
13:06 Understanding phase and phase difference / phase shift

[@dillingerplan5663]

Thank you deeply for this amazing lesson! It made me see things differently and understand them better. Cheers!

[@Maths4Engineering]

Hi Dillinger, it's great to hear comments like this. It took months to make and it's worth it when people take the time to comment, especially when it helps people understand. My teachers many years ago skipped so much, so it was a challenge to understand, back in the 1990s. Take care and feel free to share. See also Electronics4engineers channel. Thanks again, James.

[@xferspace]

This video should be sent to Khan Academy so that the world can benefit

[@truerthanyouknow9456]

That moment at 3:19 “omega tf?” is giving me life. Hahaha

[@flaneurable]

I'm working on it.

[@sankaran1420]

Excellent presentation Sir. Thank you very much.

[@ahmdkalef2252]

great representation of phase shift concept

[@Maths4Engineering]

Many thanks! James.

[@weixhee7862]

thank you, sir

[@d.g.s.7572]

Excellent.. One of the best explanation. Thank you very much Sir🙏🙏🙏

[@E4E]

Thanks for taking the time to comment, it's very kind of you and I'm really pleased that it helped! If you need any other videos making, I'd welcome some inspiration! Cheers. James.

[@bipanjitkaur9054]

Perfect mathematicians

[@E4E]

Thank you so much.

[@aswathkumar2519]

Thank you 🙏

[@E4E]

You're very welcome, Aswath. Feel free to see my Electronics4Engineers channel too. All the best, I appreciate the kind comment. James.

[@ariebudiansyah8590]

you forgot to mention about formula of phase to radian from sin 30 degree = n/6 which is coming from 2.phi divided by 360 degree = (2n/360 degree)

[@E4E]

Hi I didn't forget, I put the relevant info but thanks for being vigilant!

[@rickperez8975]

6:34 isn’t the frequency of the shown graph 1/(2pi). Because the graph shown has a period equal to 2pi.

[@E4E]

Hi, at the time you mentioned, the circuit has done one cycle in 2pi radians. Remember, the x axis here is in radians, not seconds. A one Hz signal will always spin through 2pi radians or 360 degrees in one second. I hope this helps!

[@krisf1069]

Pi over 4 is 0.72 or is my calculator wrong?

[@E4E]

Hello Kris, Pi/4 is 0.7854 thanks.