Progress Report

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Optimal baseball bat for the pros:

Optimal baseball bat for the pros Progress Report Chris Lowery

What has been accomplished:

What has been accomplished

Momentum:

Momentum m 1 =mass of bat m 2 =mass of ball v 1a =exit ball speed v 2a =exit velocity of bat v 1b =pitched ball speed v 2b =incoming bat speed

Coefficient of restitution:

Coefficient of restitution

Combine two equations to get::

Combine two equations to get: Known and assumed variables: e = 0.55 for a baseball v 1b = 90 mph – average velocity of a fastball m 1 = 5.125 oz – mass of baseball Maximize: v 1a = exit ball speed Variables: m 2 = mass of bat v 2b = incoming bat velocity

Equation for average hitter:

Equation for average hitter 90.5 Note: Has been experimentally found and proven

Where we go from here:

Where we go from here

Classes of variables:

Weight classes of players: 0-199 lbs 200-209 lbs 210-219 lbs 220-229 lbs 230-239 lbs 240-249lbs 250+ lbs Weight of bats: 30 oz 31 oz 32 oz 33 oz 34 oz 35 oz 36 oz Classes of variables

How to use variables:

How to use variables The average professional baseball player is 225 lbs Use following equation to get exit velocity for all bat weights within 220-229 class: 90.5

How to use variables:

How to use variables Each class is a certain percent stronger than the one before them Using percent difference in strength and assume direct correlation to velocity:

Slide11:

Use weight and velocities populated to calculate exit velocity ro find maximum of each class.

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