How do you convert ordinary frequency to angular frequency?

[michaeltozer13]

Homework Statement

A 22 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Find the oscillation frequency, if its displacement from the origin is given by

x(t) = (22.0 cm)·cos((25.0 rad/s)t + π).

Homework Equations

angular frequency=sqrt(k/m)
period=2pisqrt(m/k)
period=1/frequency

The Attempt at a Solution

okay so from the equation they gave us i think the 22.0 cm (0.22m) is the amplitude of the oscillation, and 25.0 rad/s is the angular frequency, and the pi is the is the phase angle. So I am trying to solve for oscillation frequency but I am not sure how to start the problem. Any solid help with trying to start this problem would be appreciated, Thanks!

 

[Doc Al]

How is angular frequency related to frequency of the oscillation?

 

[michaeltozer13]

Im honestly not sure how they are related, i feel like that is part of the reason why I am lost when it comes to this question. Any help on trying to understand there relationship?

 

[Doc Al]

Angular frequency tells you how many radians per second. How many radians are there in one complete oscillation?

 

[michaeltozer13]

There is 2pi radians in one oscillation isn't there?

 

[Doc Al]

There is 2pi radians in one oscillation isn't there?

Exactly. So to convert ordinary frequency ($f$) in cycles/sec to angular frequency ($\omega$) in radians/sec, what would you have to do?