Question

Suppose that after a certain time tl, the string has been pulled through a distance l. what is the final rotational speed ωfinal of the wheel?

Answer 1

The linear velocity of the wheel is:
v = linear distance / time
v = l / t1

Suppose that the wheel has a radius r, then the angular speed or rotation speed is:
ωfinal = linear speed / radius
ωfinal = v / r
ωfinal = l / t1(r)