Calculate the period and frequency of rotation

In summary, the conversation discusses how to calculate the period and frequency of rotation for an object rotating in a circle of 2m diameter with an angular speed of 2.5 rad/s. The formula for frequency is mentioned and the attempt at a solution involves using the formula and finding the time taken for one whole cycle. The concept of angular velocity and its relation to time is also mentioned. The conversation concludes with a question about the unit for frequency.
  • #1
joe465
94
0

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
 
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  • #2
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).
 
  • #3
Thanks for your reply, does frequency have a unit?
 

1. How do you calculate the period of rotation?

The period of rotation is calculated by dividing the total time taken for one complete rotation by the number of rotations completed. This can be expressed as T = t/n, where T is the period, t is the total time, and n is the number of rotations.

2. What is the unit of measurement for period of rotation?

The unit of measurement for period of rotation is seconds (s) or any other unit of time such as minutes or hours.

3. How do you calculate the frequency of rotation?

The frequency of rotation is calculated by dividing the number of rotations completed by the total time taken. This can be expressed as f = n/t, where f is the frequency, n is the number of rotations, and t is the total time.

4. Can the period and frequency of rotation be calculated for any object?

Yes, the period and frequency of rotation can be calculated for any object that rotates, such as a planet, a pendulum, or a spinning top.

5. How can the period and frequency of rotation be used to determine the speed of rotation?

The speed of rotation can be determined by multiplying the circumference of the rotating object by its frequency. This can be expressed as v = 2πr x f, where v is the speed of rotation, r is the radius of the object, and f is the frequency of rotation.

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