Question

1. A baseball pitcher is attempting to strike out a batter and they throw their best fast ball at 40m/s. The distance between the pitchers mound and the center of home plate is 17.5m. The batter swings the bat at an average of 12 rad/s just 0.3s after the pitcher releases the ball and the angular displacement of the bat from the batters shoulder to the hitting position directly over the place is 1.65 rads.
   1. Will the bat strike the ball, or will the batter have swung to early or too late? Justify your answer.
   2. Assume the batter hits the ball on the sweet spot of the bat and it was in contact for 0.0007s. If the bat has an instantaneous velocity of 39.28rad/s when it strikes the ball, and the sweet spot is 1.25 m away from the axis of rotation, how fast is the sweet spot moving when they hit the ball?

Will the (0.145kg) ball be able to get to Park’s Green Monster, which is 310 ft from home plate for a home run? Assume the bat put a force of 18,436 N on the ball and the resulting flight time of the ball is 2.4s

Answer 1