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

Question

A person is riding a bicycle, the wheels of a bicycle have anangular velocity of + 22.0 rad/s. Then, the brakes are applied. Incoming to rest, each wheel makes an angular displacement of +14.5revolutions. (a) How much time does it take for the bike to come to rest?____s (b) What is the angular acceleration of each wheel?____rad/s^2 A person is riding a bicycle, the wheels of a bicycle have anangular velocity of + 22.0 rad/s. Then, the brakes are applied. Incoming to rest, each wheel makes an angular displacement of +14.5revolutions. (a) How much time does it take for the bike to come to rest?____s (b) What is the angular acceleration of each wheel?____rad/s^2

Explanation / Answer

   Initial angularspeed   0   =   22.0   rad/s    Angulardisplacement      =   14.5   rev   =   14.5*2   =   91.06   rad    Final angularvelocity      =   0    Third equationis      2   =   02   +   2* *    02   =   22.02   +   2* * 91.06    angularacceleration      =   -484 / 182.12   =   -2.66   rad/s2    First equationis         =   0   +   * t    time   t   =   (0- 22.0) /(-2.66)   =   8.27   s   a.   t   =   8.27   s    b.      =   -2.66   rad/s2    First equationis         =   0   +   * t    time   t   =   (0- 22.0) /(-2.66)   =   8.27   s   a.   t   =   8.27   s    b.      =   -2.66   rad/s2

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