SOLUTION: The speed of a point on a circle having a radius of 15 inches is 12 inches per second. Find the angular velocity of the point.

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Question 606114: The speed of a point on a circle having a radius of 15 inches is 12 inches per second. Find the angular velocity of the point.
Answer by lwsshak3(11628) About Me  (Show Source):
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The speed of a point on a circle having a radius of 15 inches is 12 inches per second. Find the angular velocity of the point.
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Using qualitative analysis method: in=inches, sec=second, rev=revolution, rad=radian, r=radius
angular velocity=(12 in/sec)(rev/2πr in)(2π rad/rev)
in, rev, and 2π cancel out
angular velocity=12/r rad/sec=12/15 rad/sec=4/5 rad/sec