Bat Phuysics

Bat Phuysics - There is also an amazing amount of physics...

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There is also an amazing amount of physics involved in the bat-ball collision, and in the performance and behavior of the bat itself. The ball experiences a significant amount of deformation during the collision, much more so than the bat. By comparing the two movies we can also see that the amount of deformation is noticeably larger for the faster incoming ball speed. The speed of the ball is considerably less after the collision than it was before the collision. The impact between bat and ball is an extremely violent one, in which the bat imparts a huge force on the ball thereby causing it to change directions and gain speed. Consider a baseball weighing 5.125oz (mass = 0.145kg) which approaches the bat at a speed of 90mph (40.2m/s). After the collision with the bat, with a contact time of 0.7milliseconds (0.0007s) [1,2] the bat has a speed of 110mph (49.1m/s) in the opposite direction. Using Newton's second law we can estimate the average force acting on the ball during the hit: Plugging in the numbers we find the average force to be F avg =18,436 N, which is equivalent to 4124 lbs of force. The impulse delivered by this force is the product of the average force the the contact The force that the bat exerts on the ball is not a constant during the entire duration of contact, but instead follows more of a sine-squared time history, starting and ending at zero and peaking approximately half way through the duration of contact. The figure at left illustrates this. The area under a force-vs-time curve is the implulse provided by the force. The average force, calculated above, is the constant force which acts for the same duration as the actual force, and encloses the same area under its force-vs-time curve (providing the same impulse) as does the actual force. Data for force-vs-time curves
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This note was uploaded on 10/29/2010 for the course CHEM 101 taught by Professor Grant during the Spring '10 term at Harvard.

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Bat Phuysics - There is also an amazing amount of physics...

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