Calculating The Angular Acceleration Of A Motorcycle Wheel

Classical Mechanics Level 1

A powerful motorcycle can accelerate from 0 to 30.0 m/s (about 108 km/h) in 4.20 s. What is the angular acceleration of its 0.320m-radius wheels?

14.8 rad/s² 20 rad/s² 18.25 rad/s² 22.3 rad/s²

Zāīd Mûghāl by Zāīd Mûghāl , 25, Pakistan

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5 solutions

Vipin Singh
Apr 8, 2014

its a simple problem as we know a=@r, @ is the angular acceleration so a=(v-u)/t=(30-0)/4.2 @=(30)/(4.2*0.320)=22.3

8 Helpful 0 Interesting 0 Brilliant 0 Confused

a is linear acceleration of center of wheel .....the valueof a at the wheel periphery will be different ri8........then how can we directly use it....i think we shud find value of a at periphery using instant centre method and den find angular acceleration frm it...

Rahul Reddy Bikka - 7 years, 2 months ago

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how? prove it if u ri8.

king of the kings - 7 years, 1 month ago
Amr Hassan
Apr 9, 2014

a=angular acc. x radius so angular acc.= a/r = 22.3

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Naou Ber
Apr 20, 2014

First We should find the acceleration a=30/4.02=7.14 m/s² then we have a=rö ö: the angular acceleration ö=a/r =7.14/0.320 ö=22.3 rad/s²

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Thalia Grace
Apr 2, 2014

22.3 rad/s^2

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Jaivir Singh
May 6, 2014

a = v / t then use angular acc = a / r

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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