The acceleration of gravity can be found from the length l and period T of a pendulum; the formula is g = 4π2l/T 2. Find the relative error in g in the worst case if the relative error in l is 5%, and the relative error in T is 2%.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 56P: If , and , find the unknown constants a and b such that .
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The acceleration of gravity can be found from the length l and period T of a pendulum; the formula is g = 4π2l/T 2. Find the relative error in g in the worst case if the relative error in l is 5%, and the relative error in T is 2%.

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