The period T of a simple pendulum is given by T = 2π p L/g where L is the length of the pendulum and g is the acceleration due to gravity. Thus if L and T are measured, we can estimate g with g = 4π 2L/T2 . Assume that the period is known to be T = 1.5 s with negligible uncertainty, and that L is measured to be 0.559 ± 0.005 m. Estimate g, and find the uncertainty in the estimate. Also, find the relative uncertainty. (Hint: If uncertainty for T is negligible, it can be treated as a constant, i.e. g = 4π 2L/1.5 2 .)

The period T of a simple pendulum is given by T = 2π p L/g where L is the length of the pendulum and g is the acceleration due to gravity. Thus if L and T are measured, we can estimate g with g = 4π 2L/T2 . Assume that the period is known to be T = 1.5 s with negligible uncertainty, and that L is measured to be 0.559 ± 0.005 m. Estimate g, and find the uncertainty in the estimate. Also, find the relative uncertainty. (Hint: If uncertainty for T is negligible, it can be treated as a constant, i.e. g = 4π 2L/1.5 2 .)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 24P

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