# Linear acceleration of bicycle

1. Nov 10, 2008

### bocobuff

1. The problem statement, all variables and given/known data
A bicycle has wheels with a radius of 0.295 m. It accelerates uniformly and the rate of rotation of its wheels increases form 209 rpm to 265 rpm in a time of 20.7 s. What is the linear acceleration of the bicycle?
ω=angular vel. α=angular accel.
2. Relevant equations
α=Δω/Δt
atan=r*α

3. The attempt at a solution
But I don't know if I should use ω1 or ω2 for the arad?? Do you use both and add them together to use for atotal or the change in arad? Also, do I have to multiply the final total accel by 2 since there are two wheels?

2. Nov 10, 2008

### asleight

Why do you want to find the radial acceleration of the bike? That won't give you its linear acceleration at all. ;)

3. Nov 10, 2008

### bocobuff

Ahh... I gotcha. Thanks a lot. But do I need to multiply it by 2 since there are two wheels and it's asking for the whole bicycle? I know this is stupid but I only have one submission on my HW left so I need to get this one.

4. Nov 10, 2008

### asleight

No. You're fine by solving the acceleration of one wheel, as far as I'm concerned.