A bocce ball with a diameter of 6.00 cm rolls without slipping on a level lawn.

Question

A bocce ball with a diameter of 6.00 cm rolls without slipping on a level lawn. It has an initial angular speed of 2.35 rad/s and comes to rest after 2.50 m. Assuming constant deceleration, determine (a) the magnitude of its angular deceleration and (b) the magnitude of the maximum tangential acceleration of the ball's surface (tell where that part is located). A bocce ball with a diameter of 6.00 cm rolls without slipping on a level lawn. It has an initial angular speed of 2.35 rad/s and comes to rest after 2.50 m. Assuming constant deceleration, determine (a) the magnitude of its angular deceleration and (b) the magnitude of the maximum tangential acceleration of the ball's surface (tell where that part is located). A bocce ball with a diameter of 6.00 cm rolls without slipping on a level lawn. It has an initial angular speed of 2.35 rad/s and comes to rest after 2.50 m. Assuming constant deceleration, determine (a) the magnitude of its angular deceleration and (b) the magnitude of the maximum tangential acceleration of the ball's surface (tell where that part is located).

Explanation / Answer

here,

diameter , d = 6 cm

radius , r = 0.03 m

angular speed , w0 = 2.35 rad/s

distance travelled , s = 2.5 m

angle , theta = 2.5 / 0.03

theta = 83.33 rad

third equation of motion
0 - 2.35^2 = 2 * alpha * 83.33

alpha = 0.033 rad/s^2

(a)

the magnitude of angular deaccelration is 0.033 rad/s^2

(b)

the magnitude of the maximum tangential acceleration of the ball's surface = alpha *r

the magnitude of the maximum tangential acceleration of the ball's surface is 9.94 * 10^-4 m/s^2

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