Calculate the error!

Calculus Level 3

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

T = 2 π l g T =2\pi \sqrt { \dfrac { l }{ g } }

where g g is a constant.

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

The answer is x % x\%

Find x x


The answer is 1.

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1 solution

Potsawee Manakul
Aug 1, 2015

by differentiation, Δ T T = 1 2 Δ l l \frac{\Delta T}{T}=\frac{1}{2}\frac{\Delta l}{l} Therefore, x = 1 x=1

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