Angular Velocity of a hamster wheel

[lacar213]

Homework Statement

A hamster runs in its wheel for 4.5 hours every night. If the wheel has a 6.8 cm radius and its average angular velocity is 3.0 radians per second, how far does the hamster run in one night?

Homework Equations

angular velocity = ang displacement / time

The Attempt at a Solution

3 = angular displacement / 16200 seconds
angular displacement = 48600

I know this isn't the correct solution but I can't find an equation to help me solve this for m.

 

[physics girl phd]

The problem is looking for a linear length as if the hamster's wheel was running along the ground (not an angular displacement). You should be able to easily convert knowing a parameter of the wheel (the given radius).