Question
A ball has an angular velocity of counterclockwise. Some time later, after rotating through a total angle of 4.5 radians, the ball has an angular velocity of
clockwise. Determine the angular acceleration, the average angular velocity and how much time it takes for the ball to attain this velocity.
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, and angular acceleration (\alpha) is: [ \omega_f^2 = \omega_i^2 + 2 \alpha _______ __________ _______ _______ _____ __________ ___ __________ ___ __________ _________ ____.
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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, and angular acceleration (\alpha) is: [ \omega_f^2 = \omega_i^2 + 2 \alpha _______ __________ _______ _______ _____ __________ ___ __________ ___ __________ _________ ____.
____ _____ ______ ____ ___ _______.
_________ _____ ______ _____ _________.
___ _______ _________ __________ _____ _______ __________ _____ ____ _______ ______.
_______ ________ _______ ___ ______ ___ ___ ________ _______ ____ ____.
____ __________ _________ _____ ____ ________ _______.
______ _____ _____ _________ ____ _____ _______ _______ ____.
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