What Is the Angular Velocity of a Whirling Ball?

AI Thread Summary
The angular velocity of a ball whirling in a horizontal circle can be calculated using the formula angular velocity = 2πF, where F is the frequency of revolutions. For a ball completing 5 revolutions per second, the angular velocity is approximately 31.4 radians per second. It's important to note that the units of angular velocity are radians per second, not meters per second. To find linear velocity, multiply angular velocity by the radius of the circle. Understanding these concepts is crucial for accurately describing motion in circular dynamics.
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A ball of mass 0.25kg is whilred around in a horizontal circle on the end of a string of the length 0.03m, and completes 5 revolutions per second

what is the angular velocity of the ball?

is it right to use

angular velocity = 2 pi F

giving me a answer of 31.4 ms
 
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What are units of angular velocity?
 
The angular velocity (usually denoted omega, lower case) is equal to (2*Pi)/T

Where T is equal to the period in seconds. The units for angular velocity are thus not metres per second, but radians per second.

Multiplying omega by r (radius) gives velocity in metres per second. Or, if you want to be precise and since the velocity is vectorial, but changing direction, you get speed.
 

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