As the title says, I still don't completely understand why the period of an objects oscillation is independent of it's amplitude. I know there's an equation relating to this but I can't figure out how to derive it.
why is period with simple harmonic motion independent of it's amplitude? Watch
- Thread Starter
- 27-03-2013 19:16
- 27-03-2013 19:25
I think its because of this:
scenario 1: if the amplitude was greater (distance traveled is greater), the oscillating object would have a greater speed
scenario 2: if the amplitude was smaller (distance traveled is less), the oscillating object would move through with less speed
speed = distance/time
time = distance/speed
so this would mean both scenarios would end up with the same time (time period)
- 29-03-2013 13:03
Walter Lewin solves the differential equation in this video.
Basically you will find that period T and frequency f do not depend on amplitude.