Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 7P
To determine

To show: That by using dimensional analysis the equation x=kamtn is satisfied by putting m=1 and n=2 , also the dimensional analysis can help to estimate the value of constant k .

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The position of a particle moving under uniform acceleration is some function of time and the acceleration. Suppose we write this position as x = kamtn, where k is a dimensionless constant. Show by dimensional analysis that this expression is satisfied if m = 1 and n = 2. Can this analysis give the value of k?
Given the equation: a = kr"vm where a is the acceleration of a particle moving with speed v in a circle of radius r, and k is a constant. By using dimensional analysis prove this equation to determine values of n and m, then write the simplest form of an equation for the acceleration.
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Chapter 1 Solutions

Principles of Physics: A Calculus-Based Text

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