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gprice9
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I have been trying to calculate how far a golf ball will travel on a level green given the following variables:
The initial velocity of the ball is 1.49 m/s
The coefficient of friction between the ball and the green is .0409
The mass of the ball is 0.046kg
The diameter of the ball is 42.6mm
The fact that the ball is rolling, means that the movement is a combination of translational velocity and rotational velocity. However I am struggling to understand the method to calculate the rotational velocity and implement it within the equation.
MOI of a solid sphere = 2/5 mr^2
I have taken this frictional value from a textbook, but am not sure whether I need to apply this value to calculate the rate of acceleration, or calculate an alternative rolling resistance value?
My attempt thus far (only taking translational movement into account):
Acceleration = mgu/m = gu = 9.81 * 0.046 = 0.4 m/s^2
Displacement = s = v^2 / 2a = 1.49^2 / 2 * .4 = 2.775 m
If anyone would be able to help/guide me, I would be most grateful.
Regards, George
The initial velocity of the ball is 1.49 m/s
The coefficient of friction between the ball and the green is .0409
The mass of the ball is 0.046kg
The diameter of the ball is 42.6mm
The fact that the ball is rolling, means that the movement is a combination of translational velocity and rotational velocity. However I am struggling to understand the method to calculate the rotational velocity and implement it within the equation.
MOI of a solid sphere = 2/5 mr^2
I have taken this frictional value from a textbook, but am not sure whether I need to apply this value to calculate the rate of acceleration, or calculate an alternative rolling resistance value?
My attempt thus far (only taking translational movement into account):
Acceleration = mgu/m = gu = 9.81 * 0.046 = 0.4 m/s^2
Displacement = s = v^2 / 2a = 1.49^2 / 2 * .4 = 2.775 m
If anyone would be able to help/guide me, I would be most grateful.
Regards, George