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How does the amplitude of the pendulum affect the pendulum?
It messes up the math. For large amplitude swings, the simple relation that the period of a pendulum is directly proportional to the square root of the length of the pendulum (only, assuming constant gravity) no longer holds. Specifically, the period increases with increasing amplitude.
Why does the period of a pendulum not depend on the amplitude?
Actually, the period of a pendulum does depend slightly on the amplitude. But at low amplitudes, it almost doesn't depend on the amplitude at all. This is related to the fact that in such a case, the restoring force - the force that pulls the pendulum back to its center position - is proportional to the displacement. That is, if the pendulum moves away further, the restoring force will also be greater.
Which factor affects the period of the pendulum?
The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.
Does a period of a pendulum depend on the amplitude?
For very little swings, no, the period is unrelated to the amplitude. For larger swings, however, the period increases slightly due to circular error.
Does the length of pendulum affect the period of vibration?
Yes. Given a constant for gravity, the period of the pendulum is a function of it's length to the center of mass. In a higher gravity, the period would be shorter for the same length of pendulum.
