Write an expression for a with a dimensionless constant of proportionality k. (Use the following as necessary: v, r, k, n, and m.) m a = Substitute the dimensions of a, r, and v. (Use the following as necessary: n, m, L, and T.) (수)" m = L" Equate the exponents ofL and T so that the dimensional equation is balanced: n + m = 1 and m = -1 Solve the two equations for n: n =2 Write the acceleration expression. (Use the following as necessary: v, r, and k.) .- a =

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 58P
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Write an expression for a with a dimensionless constant of proportionality k. (Use the following as necessary: v, r, k, n, and m.)
m
a =
Substitute the dimensions of a, r, and v. (Use the following as necessary: n, m, L, and T.)
(수)"
m
= L"
Equate the exponents ofL and T so that the dimensional equation is balanced:
n + m = 1
and m =
-1
Solve the two equations for n:
n =2
Write the acceleration expression. (Use the following as necessary: v, r, and k.)
.-
a =
Transcribed Image Text:Write an expression for a with a dimensionless constant of proportionality k. (Use the following as necessary: v, r, k, n, and m.) m a = Substitute the dimensions of a, r, and v. (Use the following as necessary: n, m, L, and T.) (수)" m = L" Equate the exponents ofL and T so that the dimensional equation is balanced: n + m = 1 and m = -1 Solve the two equations for n: n =2 Write the acceleration expression. (Use the following as necessary: v, r, and k.) .- a =
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