Calculate the error!

Calculus Level 3

The time \(T\) of a complete oscillation of a simple pendulum of length \(l\) is given by:

\[T =2\pi \sqrt { \dfrac { l }{ g } } \]

where \(g\) is a constant.

Find the approximate error in the calculated value of \(T\) corresponding to an error of \(2\% \) in the value of \(l\)

The answer is \(x\% \)

Find \(x\)


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