1. A roulette wheel reaches a maximumangular speed of 18 rad/s before it begins

Question

1.    A roulette wheel reaches a maximumangular speed of 18 rad/s before it begins decelerating. Afterreaching this maximum angular speed, it turns through 35revolutions (220 rad) before it stops. How long did it takethe wheel to stop after reaching its maximum angular speed? (e) 24s I don't really know where to start or what formula to use. Iknow what the answer is 24s but don't really know how to arrivethere. angular speed(v)= 18rad/s period(T)=220rad How long did it take the wheel to stop after reaching itsmaximum speed? Asking for T? thank you.. 1.    A roulette wheel reaches a maximumangular speed of 18 rad/s before it begins decelerating. Afterreaching this maximum angular speed, it turns through 35revolutions (220 rad) before it stops. How long did it takethe wheel to stop after reaching its maximum angular speed? (e) 24s I don't really know where to start or what formula to use. Iknow what the answer is 24s but don't really know how to arrivethere. angular speed(v)= 18rad/s period(T)=220rad How long did it take the wheel to stop after reaching itsmaximum speed? Asking for T? thank you..

Explanation / Answer

    Initial angular velocity, o =18 rad / s     Final angular velocity, = 0 rad / s     Angular displacement, = 220 rad     Time, t = ?     Angular displacement, = [ (o + ) / 2 ] t                                       220 = [ ( 18 + 0 ) / 2 ] t                         Time, t= 220 / 9                                     = 24.4 s                                      = 24 s

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