It is the rate of change - with respect to time - of the angular displacement.
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the tangential velocity is equal to the angular velocity multiplied by the radius the tangential velocity is equal to the angular velocity multiplied by the radius
It was 6 radians per second. Angular acceleration = -3 radians per second2 Initial angular velocity = 6 radians per second. Final angular velocity = zero. Average angular velocity = 3 radians per second. Angular displacement in 2 seconds = 3 x 2 = 6 radians.
The angular velocity of a pulley turning 1800 rpm is 60 pi radians per second.
are a measure of angular velocity whereas metres per minute are a measure of linear velocity.
No. If you can drive around a ten-mile track in the same time it takes you to drive around a one-mile track, then your angular velocity is the same in both cases. But in order to do that, you'll need much higher tangential velocity during the longer run. Tangential velocity is what you'd normally call your 'speed' as you blaze around the track.