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**1. Homework Statement**

A spool of thin wire rotates without friction about its axis. A man pulls down on the wire with force of 14.9N. How long does it take to increase the angular velocity of the spool from 11.0rad/s to 35.0rad/s?

Icm = 0.490kg*m^2

Inner radius, r = 0.280m

Outer radius, R = 0.600m

**2. Homework Equations**

w=d(theta)/dt

w=v/r

**3. The Attempt at a Solution**

im not sure how to do this. i know the equation for angular velocity but i dont know what to do with the force and time