Question

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. what is the frequency of the wheel's rotation?

Answer 1

Answer: The frequency of the wheel's rotation is 0.5 Hz.

Step-by-step explanation:

Frequency of rotation: It is defined as the number of revolution in a second.

The expression for the frequency in terms of the number of revolution in a given time is as follows;

`f=(N)/(t)`

Here N is the number of cycles and t is the time taken.

Put N= 2 rev and t= 4 s in the above expression.

`f=(2)/(4)`

`f=0.5 Hz`

Therefore, the correct answer is 0.5 Hz.

Answer 2

The frequency is defined as the number of cycles done in one second:

`f= (N)/(t)`
where N is the number of cycles and t is the time taken to complete N cycles. The wheel in this problem does N=2 revolutions in a time of t=4.0s, therefore its frequency of rotation is:

`f= (N)/(t) = (2.0)/(4.0s) = 0.5 Hz`