# Calculate the period and frequency of rotation

1. Aug 29, 2011

### joe465

1. The problem statement, all variables and given/known data

An object rotates in a circle of 2m diameter. The angular speed is 2.5 rad/s. Calculate the period and frequency of rotation.

2. Relevant equations

frequency=1/period

3. The attempt at a solution

That formula seem funny considering i need a value to work out the other. Is there another way to calculate either of these.

As far as i know:

period=time taken to complete one whole cycle

so would this work:

2*pie/w=t

2*pie/2.5=2.51s

Frequency = 1/period

frequency=1/2.51

=0.398

Thanks, Joe

2. Aug 29, 2011

### Caveman11

Yep you've got it. The angular velocity is the amount of angle that is travelled through per second so by finding how many times that amount of angle goes into 2\pi radians you find the time taken (which is what you did).

3. Aug 30, 2011