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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

(a) Suppose the displacement of an object is related to time according to the expression x = Bt2. What are the dimensions of B? (b) A displacement is related to time as x = A sin (2πft), where A and f are constants. Find the dimensions of A. Hint: A trigonometric function appearing in an equation must be dimensionless.

(a)

To determine
The dimension of B.

Explanation

Given Info: The given equation is x=Bt2.

Explanation:

Rearrange the equation to express B in terms of distance and time.

x=Bt2B=xt2[B]=[L][T2]=(L</

(b)

To determine
The dimension of A.

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