In golf the greenskeepers use a stimpmeter to determine how \"fast\" their green
ID: 2151272 • Letter: I
Question
In golf the greenskeepers use a stimpmeter to determine how "fast" their greens are. A stimpmeter is a straight aluminum bar with v-shaped grove on which a golf ball can roll. It is designed to release the golf ball once the angle of the bar with the ground reaches a value of ?= 20.0?.
The golf ball (mass 1.62 ounces = 0.0459 kg) then rolls 30.0 inches down the bar (assume no friction for this part!) and then continues to roll along the green for several feet. This distance is called the "reading". This test is done on a level part of the green, and stimpmeter readings between 7 and 12 feet are considered acceptable.
For a stimpmeter reading of 9.7 feet, what is the coefficient of friction between the ball and the green? (The ball is rolling and not sliding as we usually assume when considering friction, but this does not change the result in this case).
Explanation / Answer
30 inches*0.0254=0.762 m==>ball=0.0459 kg==>9.7 ft*0.3048=2.95656 m
Vo=(2*g*d*sin(20o))2.26 m/s==>a=Vo2/(2*2.96)0.864 m/s2==>
=0.762/2.96*sin(20o)0.088