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Why would changing the length of something change the amount of time for it to swing?
Wiki User
∙ 11y ago
Imagine a pendulum, if you will. The longer a pendulum is, the longer it will take to make a full cycle. The converse is also true; if a pendulum is shorter, it will take less time to make a full cycle.
The answer lies in the gravitational potential energy of the system, and the moment of inertia of the pendulum.
Given a fixed mass at the end of a string with negligible mass, it is apparent that the longer the string is, the greater its moment of inertia (inertial moment is roughly analogous to the inertia of a stationary object).
With only a fixed amount of gravitational potential energy to drive the pendulum, the one with a larger moment of inertia will travel slower.
Wiki User
∙ 11y ago
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