# Faulty Pendulums

**Calculus**Level 5

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

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

##### Details & Assumptions:

\(g\) is a constant.

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