Torque crank and bucket question

[dnt]

Homework Statement

A bucket filled with water has a mass of 70 kg and is attached to a rope that is wound around a 0.035 m radius cylinder. A crank with a turning radius of 0.35 m is attached to the end of the cylinder. What minimum force directed perpendicularly to the crank handle is required to raise the bucket?

Homework Equations

obviously torque = F * r * sin

The Attempt at a Solution

my problem here is i cannot accurately understand the diagram (there is no picture that goes along with it). i cannot tell which r value to use. if someone could clarify that i would appreciate it.

 

[Doc Al]

This is really an equilibrium problem: the bucket (via the rope) exerts a tension on the cylinder tending to make it turn one way; you (via the crank handle) have to exert a torque in the opposite direction to balance it out.

I was able to dig up a diagram that will help you visualize what's going on. Go to http://www.physics.utah.edu/~woolf/2010_rich/rev4.pdf and look at the diagram that accompanies problem #24.

 

[kyle8921]

As a scientist, it is important to have accurate and clear information in order to solve a problem. In this case, a picture or diagram would be helpful in understanding the problem and determining which radius value to use. Without this information, it is difficult to provide a precise answer. In general, torque is calculated by multiplying the force applied by the distance from the axis of rotation. However, the specific values used for the radius will depend on the orientation and setup of the system. It would be helpful to have more context or information to fully understand the problem and provide a solution.