The angular velocity of the rear wheel of a stationaryexercise bike is 4.0 rad/s

Question

The angular velocity of the rear wheel of a stationaryexercise bike is 4.0 rad/s at time, t = 0, and its angularacceleration is constant and equal 2.0 rad/s^2. A particular spokecoincides with the +y axis at time, t = 0.
1)What angle does this spoke make with the the +x axis at timet = 3.0s? 2)What is the wheel's angular velocity at this time? The angular velocity of the rear wheel of a stationaryexercise bike is 4.0 rad/s at time, t = 0, and its angularacceleration is constant and equal 2.0 rad/s^2. A particular spokecoincides with the +y axis at time, t = 0.
1)What angle does this spoke make with the the +x axis at timet = 3.0s? 2)What is the wheel's angular velocity at this time?

Explanation / Answer

1) angle = w0t + 1/2t 2                 = 4 x 3 + 1/2 x 2 x 32              = 12 + 9               = 21 degrees 2) angular velcoity at time t = 3 sec w = w0 + t      = 4+ 2 x 3        = 10 rad/sec

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