- #1
Richard Dumfry
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Homework Statement
A 16 kg mass is suspended from the end of a rope around a 22 kg cylinder with a 6.0 m diameter. What torque applied to the drive axle of the cylinder is required to accelerate the 16 kg mass 2.0 m/s^2 upwards?
Homework Equations
Torque = Radius cross Force
The Attempt at a Solution
Since the problem asks for the an acceleration 2 m/s^2 upwards, it has to counteract gravity. Therefore, the acceleration upwards (which also happens to be the tangential acceleration since it's tangent to the pulley) is 11.81 m/s^2.
From there, I multipled by mass (f = ma) to get force, and multiplied that by the radius, 3. However, my for torque was incorrect. I believe I left out the rotational energy of the pulley, but I am not sure where it goes in my calculations.