   # In a certain application, the coordinate a and the position coordinate x of a particle are related by a = g k x W where g is the gravitational acceleration, k is. a constant, and W is the weight of the particle. Show that this equation is dimensionally consistent if the dimension of k is [F/L]. ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607

#### Solutions

Chapter
Section ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 1, Problem 1.6P
Textbook Problem
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## In a certain application, the coordinate a and the position coordinate x of a particle are related by a = g k x W where g is the gravitational acceleration, k is. a constant, and W is the weight of the particle. Show that this equation is dimensionally consistent if the dimension of k is [F/L].

To determine

To Show:

The given equation is dimensionally consistent if the dimension of k is [F/L].

### Explanation of Solution

Given Information:

a=gkxW

Calculation:

Assume that the given equation is dimensionally consistent. Then,

[a]=[gkxW] [a][W]=[g][k][x] [ L T 2 ][M]=[ L T 2

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