IGNOU PHE 1 BPHE 101 2026 - A ball has an angular velocity of counterclockwise. Some ti

Question

A ball has an angular velocity of $5.0 \text{ rads}^{-1}$ counterclockwise. Some time later, after rotating through a total angle of 4.5 radians, the ball has an angular velocity of $1.5 \text{ rads}^{-1}$ clockwise. Determine the angular acceleration, the average angular velocity and how much time it takes for the ball to attain this velocity.

10 Feb 2026

Answer :

Word Count : 301

To solve this problem, we apply the basic equations of rotational motion. Let the initial angular velocity of the ball be (\omega_i) (counterclockwise) and the final angular velocity be (\omega_f) (clockwise). Since clockwise is opposite to counterclockwise, we take (\omega_f) as negative in our calculations. The angular displacement (\theta = 4.5 , \text{rad}). The equation connecting angular displacement, initial and final angular velocity,

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