# Distance, angular velocity

1. The problem statement, all variables and given/known
A hamster runs in its wheel for 2.7 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

w= delta theta/change in time

## The Attempt at a Solution

6.8 cm x .001m/1 cm = .0068 m
2.7 hrs x 3600s/1 hr = 9720 s
c = 2pi(.0068m) = .0427 m
3.0 rad/s = delta theta / 9720 s
=29160
the correct answer is 2.0 x 10^3[/B]

jedishrfu
Mentor
Check your centimeter to meter conversion? Remember there are 100 cm per meter right.

oh whoops yeah
Check your centimeter to meter conversion? Remember there are 100 cm per meter right.
then its .068 m
im still not sure where to go from there

SteamKing
Staff Emeritus
Homework Helper
oh whoops yeah

then its .068 m
im still not sure where to go from there
You've converted the radius of the wheel from centimeters to meters.

You know that the hamster spins the wheel at 3 rad/s. How fast is this for a wheel with a radius of 0.068 m?

so
You've converted the radius of the wheel from centimeters to meters.

You know that the hamster spins the wheel at 3 rad/s. How fast is this for a wheel with a radius of 0.068 m?