Calculate the period and frequency of rotation

[joe465]

Homework Statement

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

Homework Equations

frequency=1/period

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

Not confident about this one but worth a try at least

Thanks, Joe

 

[Caveman11]

Yep you've got it. The angular velocity is the amount of angle that is traveled 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).

 

[joe465]

Thanks for your reply, does frequency have a unit?