Faulty Pendulums

Calculus Level 5

The time period of a simple pendulum is given by the relation T = 2 π l g T=2 \pi \sqrt{\frac{l}{g}}

By what % should the length be changed in order to correct a loss of 2 minutes per day?


Details & Assumptions:

g g is a constant.

If your answer is 100 N \frac{100}{N} %, put your answer as N N .


The answer is 361.

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