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The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by

 where ℓ is the length of the pendulum and g is the acceleration due to gravity. Show that this equation is dimensionally consistent.

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Vikas
VikasLv10
6 Nov 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

The period T of a simple pendulum is given by   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  . 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.

a) A simple pendulum consisting of a blob of mass m attached to a string of length L swings with a period T. If the mass of the blob is reduced by half, what will the new period of oscillation be?

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Question 2. Astronauts on the moon set up a simple pendulum of the length 1 m and measured it's period to be 4.93 s. What is the acceleration due to gravity on the moon?

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