# Wait is it really SHM

Calculus Level 5

The time of a complete oscillation of a simple pendulum of length $$l$$ is given by $$T = 2\pi \cdot \sqrt{\frac{l}{g}}$$, where $$g$$ is a constant. Using differentials, by what per cent should the length be changed in order to correct a loss of 2 minutes per day?

Let the percent change in length be represented as $$\frac{A}{B} \%$$, where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

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