Ball in Horizontal Circle (Rotational Kinematics)

AI Thread Summary
The discussion focuses on calculating the period and angular velocity of a ball rotating in a horizontal circle at a constant speed. The ball, attached to a 0.75 m string, completes 3 revolutions per second. The period of the ball's motion is determined to be 1/3 seconds. The angular velocity is calculated as 6π rad/s based on the relationship between revolutions and radians. The calculations for both the period and angular velocity are confirmed to be correct.
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Homework Statement



A ball at the end of a string of length 0.75 m rotates at a constant speed in a horizontal circle. It make 3 rev/s.

What is the period of the ball's motion?

What is the ball's angular velocity?

Homework Equations



w = delta theta/delta t

theta = 2*pi*r/r = 2*pi rad

The Attempt at a Solution



For period (in seconds):

(3 rev/1s)*(2*pi rad/1 rev) = 6*pi rad/s

(2*pi rad/1 rev)(1 s/6*pi rad) = 1/3 seconds

I don't know where to go from here? Did I find the period in the correct manner?
 
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Your period is OK.

More simply it is 3 revs in 1 sec, so ...1 rev in 1/3 sec.
 
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