Angular displacement in radians

[lalahelp]

Homework Statement

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

 

[SammyS]

What have you tried?

Where are you stuck?

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

 

[lalahelp]

I do not know how to begin...

 

[SammyS]

How many degrees correspond to one revolution?

How many radians is that equivalent to?

 

[lalahelp]

360 degress
2pie radian

 

[SammyS]

That's a start.

 

[lalahelp]

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