# Angular Acceleration during Bowling

1. Nov 20, 2007

### Eggyu

1. The problem statement, all variables and given/known data
A bowler throws a bowling ball of radius R = 11 cm down a lane. The ball slides on the lane, with initial speed vcm,0 = 6.0 m/s and initial angular speed 0 = 0. The coefficient of kinetic friction between the ball and the lane is 0.34. The kinetic frictional force fk acting on the ball (Fig. 12-35) causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When speed vcm has decreased enough and angular speed has increased enough, the ball stops sliding and then rolls smoothly.

Figure 12-35

(a) What then is vcm in terms of ?
0.11 m·omega
(b) During the sliding, what is the ball's linear acceleration?
-3.33 m/s2
(c) During the sliding, what is the ball's angular acceleration?
(d) How long does the ball slide?
0.514 s
(e) How far does the ball slide?
2.64 m
(f) What is the speed of the ball when smooth rolling begins?
4.29 m/s

2. Relevant equations

Torque = Rotational Inertia * Angular Acceleration

Tangential Velocity = angular velocity * radius

3. The attempt at a solution

I know I need to use the torque equation but the work I've done have not produced anything logical and my work is now just scattered beyond belief. If you need to see the work for any of part of the problem, i can show you that.

2. Mar 3, 2008

### physicsbarrel

For part (c)

I * alpha = r*(friction coefficient)*mg=(2/5)mr^2*alpha

I hope this helps.

Also, can you show how to do parts (d), (e), and (f)?