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xtreameprogram
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1. The problem statement, all variables, and given/known data
Joe is painting the floor of his basement using a paint roller. A roller has a mass of 2.4kg and a radius of 3.8cm. In rolling the roller across the floor, Joe applies a force F= 16N at an angle of 35 degrees. What is the magnitude if the angular acceleration of the roller?
I think F=ma and atan = r * arot
I tried using F=ma to figure out the acceleration of the whole object which would then be equal to the tangential acceleration. I just then divided that by r to get arot
Fsinθ/2.4kg = atan = 3.824 m/s2
atan / r = 10.06 rad/s2
I am really not sure if this is correct or not. If this isn't then I feel like I would have to use torque, but I don't know the moment of inertia for it to solve for arot. Any help is appreciated, thank you.
Joe is painting the floor of his basement using a paint roller. A roller has a mass of 2.4kg and a radius of 3.8cm. In rolling the roller across the floor, Joe applies a force F= 16N at an angle of 35 degrees. What is the magnitude if the angular acceleration of the roller?
Homework Equations
I think F=ma and atan = r * arot
The Attempt at a Solution
I tried using F=ma to figure out the acceleration of the whole object which would then be equal to the tangential acceleration. I just then divided that by r to get arot
Fsinθ/2.4kg = atan = 3.824 m/s2
atan / r = 10.06 rad/s2
I am really not sure if this is correct or not. If this isn't then I feel like I would have to use torque, but I don't know the moment of inertia for it to solve for arot. Any help is appreciated, thank you.
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