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By what factor should the length of a simple pendulum be changed in order to triple the period of vibration?

User Hgbnerd
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1 Answer

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Answer:

increased by 9 times

Step-by-step explanation:

As the period of a simple pendulum is defined as the following formula


T = 2\pi\sqrt{(L)/(g)}

where L is the length of the pendulum and g is the constant gravitational acceleration. Since L is under a square root, if you want to triple the period of vibration, L must be increased by 9 times so that
√(9) = 3

User Ayulin
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