Torque, Angular Displacement, Work

[warrior2014]

Torque, Angular Displacement, Work!

Homework Statement

The radius of a wheel is 0.525m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.45 N, unwinding the rope and making the wheel spin counterclockwise about its central axis. Ignore the mass of the rope.
a) how much rope unwinds while the wheel makes 1.00 revolution?
b) how much work is done by the rope on the wheel during this time?
c) what is the torque on the wheel due to the rope?
d) what is the angular displacement Δθ, in radians, of the wheel during 1.00 revolution?
e) show that then numerical value of the work done is equal to the product τΔθ

Homework Equations

T= F*R

The Attempt at a Solution

I have no idea how to get this problem started. If anyone is able to help, please do so (I know there are a lot of parts to the question)! I'd really appreciate it :)

 

[SammyS]

Are you saying you can't answer part (a) ?

 

[warrior2014]

I figured out how to get (a), (b), (c) and (e) but unsure how to get (d). Could you please help me with that one?

 

[SammyS]

How did you get (e) without getting (d)?

 

[warrior2014]

well the work done is going to be the same and since I knew that, I put the value in and it was correct

 

[SammyS]

The quick way to answer (d) is to realize how many radians correspond to one complete rotation of the wheel.

 

[warrior2013]

how would you do part a?