[4] The period T of simple pendulum is measured in time units and given by where / is the length of the pendulum and g is the acceleration due to gravity. Show that the equation is dimensionally correct. [5] Suppose that the displacement of a particle is related to time according to the expression s= cr. What are the dimensions of the constant c?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 52P: Consider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 ....
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[4] The period T of simple pendulum is measured in time units and given by
where I is the length of the pendulum and g is the acceleration due to gravity. Show that the
equation is dimensionally correct.
[5] Suppose that the displacement of a particle is related to time according to the expression
s= cr. What are the dimensions of the constant c?
Transcribed Image Text:[4] The period T of simple pendulum is measured in time units and given by where I is the length of the pendulum and g is the acceleration due to gravity. Show that the equation is dimensionally correct. [5] Suppose that the displacement of a particle is related to time according to the expression s= cr. What are the dimensions of the constant c?
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