For the following dimensional equations, find the base dimensions of the parameter k : a)...

Question:

For the following dimensional equations, find the base dimensions of the parameter k :

{eq}a) [M][L]^3[T]^{-2}=k[L][T] \\ b) [N][L][L]^3k=[T]^2[M]^{-2}[L] \\ c) [M][L]=[M][L]sin(k[L]^{-2}[M]^{-1}) {/eq}

Dimensional Analysis Applications

The dimensional analysis has very important role in checking the correctness of an equation, finding the dimensional formula of an unknown etc. For every equation to be correct, the dimensional formulae on the LHS and RHS should be the same.

Answer and Explanation:

In each of the cases, we assign the unknown k has dimensional formula as,

{eq}k=[M]^a[L]^b[T]^c {/eq}

We can perform the dimensional analysis by...

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How to Convert Standard Units of Measure

from Praxis Elementary Education - Multiple Subjects (5001): Practice & Study Guide

Chapter 40 / Lesson 2
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