How Do You Calculate Angular Acceleration and Displacement of a Rolling Ball?

AI Thread Summary
To calculate the angular acceleration of a rolling ball, the formula used is the change in angular velocity over time, which in this case results in -0.8 rad/s². For the linear displacement, the ball travels 15.4 meters during the 10 seconds of acceleration. Additionally, it will take approximately 13.75 seconds from the initial time to come to a complete stop. A common mistake noted in the discussion is using the diameter instead of the radius for calculations. Accurate calculations are essential for determining both angular and linear motion parameters.
BlakeEdwards
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A solid ball with a diameter of 22 cm rolls along a horizontal surface as shown without slipping at a constant acceleration. It initially (t=0) has an angular velocity of 11 rad/s and 10 seconds later has an angular velocity of 3 rad/s.
(a)What is its angular acceleration? rad/s2
(b)What is the linear (translational) displacement of the ball? m
(c)How long (from t=0) will it take to stop? sec


I got -.8 rad/s^2
15.4 m
and 13.75 seconds

Im so confused, can someone help me please?
 
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Hi BlakeEdwards! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)

erm :redface: … you've used diameter instead of radius. :wink:
 

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