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. What is the tangential acceleration of the ball? A)4.5 m/s² B)0.32 m/s² C)15 m/s² D)7.6 m/s² E)28 m/s²

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Quizplus · Accepted Answer

Tangential acceleration is given by r * alpha, where r is the radius of the circle and alpha is the angular acceleration. In this case, r = 0.30 m and alpha = 9.7 rad/s^2 / 0.65 s = 15 rad/s^2. Therefore, the tangential acceleration is 0.30 m * 15 rad/s^2 = 4.5 m/s^2.

A Ball Attached to a String Starts at Rest and Undergoes