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# The Physics of Bowling

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## Ryan Pekari

on 14 May 2015

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#### Transcript of The Physics of Bowling

Displacement
-When a ball is retrieved from the return machine, it is thrown onto the 18 meter (60 foot) bowling lane.
-After the ball hits the pins through a tube on a conveyor belt and pops out right where you retrieved the ball at the beginning.
Newton's 1st Law
-The bowling pins stay at rest until acted upon by the bowling ball’s force.
-When you release the ball, it accelerates and (hopefully) travels fast enough to transfer energy to knock over the pins
Newton's 2nd Law
A bowling ball would have a greater force with a greater mass, if the acceleration was the same.
-To have a higher force, you must achieve a higher pendulum (Your swing or windup)
-You can also walk faster before you release the ball. The more the bowling ball weighs, the more mass the ball will require to be moved at a fast and/or constant speed.
Forces:
Friction: The bowling ball moves across the lane as it rolls/slides until it comes into contact with the bowling pins.
Gravity: The bowling ball is attracted to the Earth’s core in a downward force. Its force or weight can be calculated by multiplying the bowling ball’s mass by the force of gravity (9.81m/s^2)
Air Resistance: The motion of the ball is opposed by the force of air resistance.

Weight
-A 16 pound bowling ball is about 7 kilograms. Using the formula for weight (w=mg), The weight of the ball is 68.67 newtons downward, since gravity is -9.81m/s^2.
-If you were to bowl on the moon, weight would be a lot less since the gravity on the moon is -1.62m/s^2.
-That is almost 9 times less weight than on Earth. Obviously, if you use a lighter pound ball the weight will be less than using a heavier weight.
Newton's 3rd Law
-When you pick up the ball from the returning machine, the ball exerts the force of its mass in a downward direction.
-The ball has no acceleration at this time since it is not in motion. The person must exert the same force but upward, in order to lift the ball.
The Physics of Bowling
Energy
-The potential energy of a bowling ball greatly depends on the height.
-The height depends on the height of the bowling ball when it is released from a person’s hand.
-Gravity will rarely impact potential energy on Earth as it rarely changes by more than a few decimal places in different places.
-Again mass will greatly impact PE as well, just like everything else.

-As soon as the ball hits the lane, it begins to slide across the lane. It doesn’t begin to roll until the friction of the lane slows the ball down enough.
-The bowling ball will begin to change its orientation because its rotational speed matches with the linear velocity of the ball.
-The ball continues to roll until it hits the bowling pins.
Friction
-The ideal velocity for bowling is about 7.4m/s.
-Since the distance of the lane is 18m, you can't change the distance to impact a bowling ball's velocity.
-Changing the time that it takes to hit the pins will impact velocity
-Using a larger pendulum (your swing) will impact the speed and also walking faster building up PE.
-The ball's velocity decreases down the lane
Velocity
Momentum
-Depends on the mass of the bowling ball and how fast you throw it
-For example, having a 7.3kg (16 lb) ball and a velocity of 7.4 m/s equals a momentum of 54.02kg m/s.
THE END!

http://ffden-2.phys.uaf.edu/211_fall2004.web.dir/craig_stephenson/potential.html
http://www.beekmanschool.org/articles/newtons-laws-bowling
http://www.bowlingball.com/BowlVersity/bowling-ball-speed-chart
http://www.real-world-physics-problems.com/physics-of-bowling.html
http://www.physicsclassroom.com/class/newtlaws/Lesson-2/Types-of-Forces
http://www.bowlingball.com/BowlVersity/ideal-bowling-ball-speed
http://www.quickanddirtytips.com/education/science/bowling-and-the-conservation-of-momentum

Pictures:
https://s-media-cache-ak0.pinimg.com/originals/71/79/5a/71795a498c842795c5944fd9b56cb85e.jpg
http://www.bowlingballs.us/
http://f.tqn.com/y/bowling/1/L/Z/2/-/-/bowling_ball_holding_6427-000208.jpg