   # The position coordinate x of a particle is determined by its velocity v and the elapsed time t as follows: (a) x = A t 2 − B v t ; and (b) x = A v t e − B t . Determine the dimensions of constants A and B in each case, assuming the expressions to be dimensionally correct. ### 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 1.11P
Textbook Problem
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## The position coordinate x of a particle is determined by its velocity v and the elapsed time t as follows: (a) x = A t 2 − B v t ; and (b) x = A v t e − B t . Determine the dimensions of constants A and B in each case, assuming the expressions to be dimensionally correct.

To determine

(a)

The dimensions of constants A and B.

### Explanation of Solution

The equation is given as,

x=At2Bvt

Calculation:

Assume that the given equation is dimensionally correct.

x=At2Bvt [x]=[At2], and [x]=[Bvt] [x]=[At2] [L]=[A][T2] [A

To determine

(b)

The dimensions of constants A and B.

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