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The Physics of Golf

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by brandon sutton on 13 April 2011

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Transcript of The Physics of Golf

The Physics of Golf By Brandon Sutton What is the purpose of
the dimples on a
golf ball? Without the dimples, the ball will not go as far due to drag
Another purpose for the dimples is for the magnus effect
This is caused by the pressure differences and the ball then raises up and has more carry With Dimples Without Dimples The lift depends on the rate of top-spin on the ball which brings me to the club head When the club head strikes the ball, the ball rolls up the head which creates the spin
It will only spin if there is friction, that's why there are grooves. Along with top and bottom rotation, there is also rotation side to side caused by the clubface being open or closed
Spins right cause it to turn right (slice)
Spins left cause it to turn left (hook) Now we have to put all of these concepts together Since there are dimples on the golf ball it doesn't take a pure parobolic shape such as: It will take a shape more like this: The magnus effect is the first to solve Fm=(dvr4 w 2di^2)(2r) Fm=magnus effect
d=density
v=velocity
r=ball radius
w=omega=angular velocity
In golf, there are the 3 components you have to find, (X,Y,Z) Fd = -Cdvx -Cdvy -Cdvz Next is the drag Fd=drag force
Cd=draf coeficient
v(x,y,z)=velocity in its component
(-) says its opposing balls
direction of force You have to factor the wind in to the projectile the equation for wind is:
Fw= -CwV Terminal Velocity of a golf ball Once the ball's momentum is transferred to the air resistance it becomes more parobolic and goes into free fall
The terminal velocity is the maximum speed it can reach in free fall
Its terminal velocity is 32 m/s (72 mph) Collision theory When the clubhead hits the ball, the collision time is only 0.0005 s
The ball also compresses when struck by the club Calculating ball launch velocities vball = ((velc*(1.67))/(1.0+(ball/mass))) vball = the velocity of the ball
velc = club head speed.
ball = mass of ball
mass = mass of club head Calculating the spin rate Use the equation 5/7 f v sinx In physics, drag (sometimes called resistance) is a force which tends to slow down the movement of an object through a liquid or gas. As a moving object pushes the liquid or gas out of its way, the liquid or gas pushes back on the object. This drag force is always opposite to the object's motion, and unlike friction between solid surfaces, the drag force increases as the object moves faster. The wind acts as a force depending on the direction of the wind. (head, tail, and side winds) As you can see, golf has a lot to deal with physics Any Questions?
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