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Q. A particle moves through an angle to 1.5 radians in 3 sec. Calculate its angular velocity.
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Question:
A stone moves through an angle equal to radians in 3 seconds.
[i] Complete revolutions = ?
[ii] Find the angular velocity.
Part [i]: Complete revolutions
Relate radians to revolutions.
One complete revolution is equal to radians.
Given the angle moved radians.Calculate the number of complete revolutions.
The number of complete revolutions is .
Part [ii]: Angular velocity
Define angular velocity.
Angular velocity () is the rate of change of angular displacement.
Given angular displacement radians.
Given time taken seconds.Calculate the angular velocity.
Using :
The angular velocity is or approximately .
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