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# why is period with simple harmonic motion independent of it's amplitude? Watch

1. 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.
2. 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)
3. Walter Lewin solves the differential equation in this video.

http://ocw.mit.edu/courses/physics/8...res/lecture-10

Basically you will find that period T and frequency f do not depend on amplitude.

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Updated: March 29, 2013
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