In a lab, a 0.025 kg cork attached to a string is swung around in a horizontal circle. the time it takes for the cork to complete one revolution is timed. if the radius of the circle is 0.30 m and one revolution takes 1.25 s, find the speed of the cork and the centripetal force applied to it

v=1.5081 m/s

Explanation:

Uniform Circular Motion

The cork is performing a circular motion which we assume to be uniform (constant angular speed or angular acceleration zero)

The centripetal force applied to it is given by

where m is the mass and is the centripetal acceleration. This acceleration appears since the tangent speed is constantly changing direction. If w is the angular speed and r is the radius of rotation

The speed of the cork can be found with the formula

We can compute w since we know the rotation period T=1.25 sec

Now, since r=0.30 m, let's compute v

And finally

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