What Is the Angular Velocity of a Whirling Ball?

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SUMMARY

The angular velocity of a ball with a mass of 0.25 kg, whirled in a horizontal circle with a string length of 0.03 m, completing 5 revolutions per second, is calculated using the formula angular velocity = 2πF. This results in an angular velocity of 31.4 radians per second. It is crucial to note that the units of angular velocity are radians per second, not meters per second. The relationship between angular velocity and linear velocity is established by multiplying angular velocity (ω) by the radius (r).

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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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