A 0.145-kg baseball pitched at 39.0 m/s is hit on a

Chapter 1, Problem 3P

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QUESTION:

Problem 3P

A 0.145-kg baseball pitched at 39.0 m/s is hit on a horizontal line drive straight back toward the pitcher at 52.0 m/s. If the contact time between bat and ball is 3.00 × 10−3 s, calculate the average force between the ball and bat during contact

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QUESTION:

Problem 3P

A 0.145-kg baseball pitched at 39.0 m/s is hit on a horizontal line drive straight back toward the pitcher at 52.0 m/s. If the contact time between bat and ball is 3.00 × 10−3 s, calculate the average force between the ball and bat during contact

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ANSWER:

Step 1 of 2

We know that,  ……(1)

Number of revolutions can be calculated from angular displacement

Initial angular velocity,

Final angular velocity,

                                          (since 1 min = 60 s)

                                         

Now, 1 revolution =  rad

So, 50 revolutions = 50   rad

50 revolutions =  rad

Therefore,  rad/s

Given that, time = 2.0 s

Therefore, the crankshaft’s angular acceleration   (from equation (1))

 …..(2)

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