How Do You Calculate Constant Angular Acceleration?

AI Thread Summary
To calculate the constant angular acceleration of a wheel that rotates 37.0 revolutions in 3.00 seconds, first convert the revolutions to radians, resulting in 232.4 radians. Using the final angular velocity of 98.0 rad/s, apply the rotational kinematic equations, replacing linear variables with their angular counterparts. The key is to use the relationship between angular displacement, initial and final angular velocities, and angular acceleration. This approach allows for determining the angular acceleration needed for the wheel's motion.
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Homework Statement


A rotating wheel requires 3.00s to rotate 37.0 revolutions. Its angular velocity at the end of the 3.00-s interval is 98.0 rads/s. What is the constant angular acceleration of the wheel?

2. Homework Equations
rotational kinematic equations??



The Attempt at a Solution


I do not know
 
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How would you do this problem if instead a ball rolled 37.0 meters in 3 seconds, and at the end of the 3 seconds it was moving at 98 m/s? Take those equations replace, x with theta, v with omega, a with alpha and you have the proper equation you'll need. The only difference between is that you're given the distance it traveled in rotations, you'll want it in radians.
 

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