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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Solution 3PIntroduction:We know that, Angular Acceleration = Change in angular veloc…..(1) TimeNumber of revolutions can be calculated from angular displacement.Step 1:Initial angular velocity, = 0 rad/s iFinal angular velocity, = 3f00 rpm = 3000 rps ( since 1 min = 60 s) 60 = 50 rpsNow, 1 revolution = 2 radSo, 50 revolutions = 50×2 rad50 revolutions = 100 radTherefore, = 1f0 rad/sGiven that, time = 2.0 s Therefore, the crankshaft’s angular acceleration = Timei (from equation (1)) = (1000)rad/s/(2.0 s) 2 = 50 rad/s 2 = 50×3.14 rad/s\n = 157 rad/s …..(2)