(adsbygoogle = window.adsbygoogle || []).push({}); 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

rev/min*2π*1/60s= rad/s

α=Δω/Δt

a_{rad}=ω^{2}*r

a_{tan}=r*α

a_{total}=√a_{rad}^{2}+a_{tan}^{2}

3. The attempt at a solution

First changed rpm to radian/s so ω_{1}=21.89 radian/s and ω_{2}=27.75 radian/s

For α=Δω/Δt=(27.75-21.89)/20.7s=0.283 radians/s^{2}

Then got a_{tan}=0.295 m*0.283 radians/s^{2}=0.0835 m*radians/s^{2}

But I don't know if I should use ω_{1}or ω_{2}for the a_{rad}?? Do you use both and add them together to use for a_{total}or the change in a_{rad}? Also, do I have to multiply the final total accel by 2 since there are two wheels?

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# Homework Help: Linear acceleration of bicycle

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