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A simple pendulum is swinging back and forth through a small angle, its motion repeating every 1.13 s. How much longer s...

A simple pendulum is swinging back and forth through a small angle, its motion repeating every 1.13 s. How much longer should the pendulum be made in order to increase its period by 0.29 s?
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Answer #1
The period of a pendulum is given as:


Rewriting this equation gives:


with:
g= 9.81 [m/s^2]

So if t=1.13 [s], then:

When the period must be increased by 0.29 [s], then t=1.42,and L will become:

So the pendulum should be made 0.501-0.317 =0.184 [m] longer

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