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Homework Statement
A heavy wheel (radius = 0.3 meters, mass = 12 kg) has a rope spooled around it. A woman
pulls on the rope from below with a constant force. She is able to bring the wheel from
rest up to 1 radian per second in 10 seconds.
[Ignore friction in the hub of the wheel.]
a) When the wheel is at its final speed, at what linear speed v is the rope unspooling?
b) How much (average) force was exerted by the woman?
c) How much work was done on the wheel by the woman?
Homework Equations
The Attempt at a Solution
For a) I used (2*R*pi)/2*pi and got .3 m/s for the final linear speed of the rope.
For b) I started with .5*M*R(alpha)=RT with alpha=a/R to get .5*M*a=T with T being the force of tension which would be the force exerted by the woman? I must be using the wrong formula or something here.
would c) be the force times the length of string unspooled?