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## Homework Statement

A spinning top has a moment of inertia of 0.0004 kg*m^2 and is initially at rest. It is free to rotate about a stationary axis. A string, wrapped around a peg along the axis of the top, is pulled in such a manner as to maintain a constant tension of 5.57 N in the string.

If the spring does not slip while wound around the peg, what is the angular speed of the top after 80 cm of string has been pulled off the peg?

## Homework Equations

v = rω

τ = Fl = Iα

Rotation kinetic energy = 1/2Iω^2

## The Attempt at a Solution

τ = Fl = Iα

(5.57 N)(0.80 m) = (0.0004)α

α = 11140 rad/s^2

I don't know where to go from here.