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Question: 1 / 400

If two pendulums have the same string length, how do their swing times compare?

One will swing faster

They will swing at different rates

They will take about the same time

When two pendulums have the same string length, they will experience the same gravitational force and oscillate under similar physical conditions. The period of a simple pendulum, which is the time it takes to complete one full swing, is primarily determined by the length of the string and the acceleration due to gravity. The formula for the period of a pendulum is given by:

\[ T = 2\pi \sqrt{\frac{L}{g}} \]

where $ T $ is the period, $ L $ is the length of the string, and $ g $ is the acceleration due to gravity. Since both pendulums have the same string length $ L $, they will both have the same calculated period $ T $, meaning they will take approximately the same time to complete one full swing. Thus, their swing times will be the same.

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