A bowling ball with a 12 cm radius has an initial angular velocity of 5.0 rad/s....

A bowling ball with a 12 cm radius has an initial angular velocity of 5.0 rad/s. Sometime later, after rotating through 5.5 radians, the bowling ball has an angular velocity of 1.5 rad/s. What is the average angular velocity of the bowling ball? What is the average linear velocity of the bowling ball? what is the angular deceleration?

Expert Solution

Ans:

Average angular velocity=1.75 rad/s

Averagr Linear velocity= 21 cm/sec = 0.21 m/s

Deceleration = 2.068 rad/s^2

The object is rotating and we are asked to find kinematic quantities, so this is a rotational kinematics problem.

Note that I have taken counterclockwise as the positive direction and that the signs are explicitly stated. It is a very common source of error to leave out or to not consider the signs of directions of all vector quantities. To find the angular acceleration, we find the kinematics equation that contains α and the given quantities.

genius_generous answered 2 years ago

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