Rotational kinematics of a ball

AI Thread Summary
A ball attached to a string experiences constant angular acceleration while moving in a horizontal circle with a radius of 0.30 m. After 0.65 seconds, its angular speed reaches 9.7 rad/s. The tangential acceleration is calculated to be 15 m/s², and the centripetal acceleration is found to be 32.3 m/s². However, there is confusion regarding the calculation of total acceleration. Clarification and assistance are requested for determining the total acceleration at t = 0.30 s.
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Homework Statement



A ball attached to a string starts at rest and undergoes a constant angular acceleration as it
travels in a horizontal circle of radius 0.30 m. After 0.65 sec, the angular speed of the ball is 9.7
rad/s. Determine the magnitudes of the ball’s tangential, centripetal, and total acceleration at
t = 0.30 s.


Homework Equations





The Attempt at a Solution


at=w-wo/t = 9.7/.65 =15 15(.30)=4.5m/s^2

which is correct. for ac I did 9.7/.3= 32.3 32.3(.65)= 21 21(.3)= 6.3


Is this correct?

NOt sure were to start for a?

Any help would be awesome.
 
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