Question

What is the frequency of a wave that passes a given point 57 times in 3.0 seconds?

Answer 1

The frequency of the wave is 19 Hz

Answer 2

The frequency of a wave is given by:

`f=(N)/(t)`

where

N is the number of complete cycles of the wave

t is the time taken

For the wave in this problem, we have 57 oscillations in 3.0 seconds, therefore N=57 and t=3.0 s. Substituting these numbers into the equation, we find

`f=(N)/(t)=(57)/(3.0 s)=19 Hz`