- #1

mileena

- 129

- 0

## Homework Statement

**Dimensional Analysis:**

A displacement is related to time as:

x = A sin (2∏ft), where A and f are constants.

Find the dimensions of A. (Hint: a trigonometric function appearing in an equation must be dimensionless.)

## Homework Equations

t = seconds

The domain of a sine must be an angle.

## The Attempt at a Solution

x = A sin (2∏ft), where A and f are constants.

m = A sin (2∏fs)

A = m/[sin (2∏fs)]

Therefore, f, a constant, must be in terms of s

^{-1}, in order to cancel out the s next to it, as the input of sine in an equation must be dimensionless.

Therefore, A = m

Thanks for any help!