# Homework Help: Angular displacement in radians

1. Oct 23, 2011

### lalahelp

1. The problem statement, all variables and given/known data
The radius of a wheel is 0.450 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 4.64 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope.

What is the angular displacement Δθ, in radians, of the wheel during 1.00 revolution?
Show that the numerical value of the work done is equal to the product τΔθ

Could someone please explain how to solve this

2. Oct 23, 2011

### SammyS

Staff Emeritus
What have you tried?

Where are you stuck?

If you wrap a rope around the wheel one time, how much rope does that take?

3. Oct 23, 2011

### lalahelp

I do not know how to begin...

4. Oct 23, 2011

### SammyS

Staff Emeritus
How many degrees correspond to one revolution?

How many radians is that equivalent to?

5. Oct 23, 2011

### lalahelp

360 degress

6. Oct 23, 2011

### SammyS

Staff Emeritus
That's a start.

7. Oct 23, 2011

### lalahelp

ok got that, how do I Show that the numerical value of the work done is equal to the product τΔθ