1. A person is riding a bicycle, the wheels of a bicycle have anangular velocity

Question

1. A person is riding a bicycle, the wheels of a bicycle have anangular velocity of +20.0 rad/s. Then, the brakes are applied. In coming torest, each wheel makes an angular displacement of +12.0 revolutions. (a) How much time does it take for the bike tocome to rest?
1 s

(b) What is the angular acceleration of each wheel?
2 rad/s2 Unsure of how to find the answers.
Thanks for the help!!!!
(a) How much time does it take for the bike tocome to rest?
1 s

(b) What is the angular acceleration of each wheel?
2 rad/s2 Unsure of how to find the answers.
Thanks for the help!!!!

Explanation / Answer

   a.   Initial angularspeed   0   =   20   rad/s          Finalangularspeed      =   0          angulardisplacement      =   12   revs                                                 =   12* 2                                                 =   75.36   rad.       Third equation is          2   =   02   +   2* *          =   (02   -   202)/ 2 * 75.36             =   -2.654   rad/s2
   First equation is      =   0   +   * t    timetaken   t   =   (0 -20) / (- 2.654)                            =   7.536   s    b.   Angularacceleration      =   -2.654   rad/s2    - vesign shows deacceleration.    - vesign shows deacceleration.

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