00:01
Okay, this question compares doubling the amplitude of a pendulum swing.
00:09
So pendulum amplitude, initially we start with some angle theta zero.
00:19
So first we start with two degrees, and we'll double that to four degrees, and we want to see how that affects the amplitude of the pendulum swing, or sorry, not the amplitude of pendulum swing, but how that affects the period of pendulum swing.
00:34
Long as we have a small angle, so less than about 10 to 15 degrees, we can use a small angle approximation in our calculations to find that the period of the pendulum is 2 pi times the square root of l over g.
00:51
So the amplitude of the swing does not matter to the period as long as we have a small angle.
00:58
So the period will remain the same.
01:02
However, if we have a larger angle, we will no longer be able to use a small angle approximation...