# How far have u gone on the stationary bike?

1. Oct 22, 2006

### shaka23h

Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 10.4 rad/s. The wheel has a radius of 0.507 m. If you ride the bike for 42.6 min, how far would you have gone if the bike could move?

ok here is what i know

my W (angular speed) is 10.4 rad//s
time = 42.6 min x 60 sec = 2556 sec

I tried to use this equation

theta = 1/2 (w0 + w )t and I got a value of 13291.2 radians can I use this value to find the distance, or am I doing something wrong?

Thanks

2. Oct 22, 2006

### Andrew Mason

You have to the relationship between the angular speed and tangential velocity. If you assume that there is no slippage between the wheel and the road, then velocity x time = distance. Do you know how $\omega$ is related to v and R?

AM

3. Oct 22, 2006

### shaka23h

ya I figured it out.

Thanks a lot