A bicycle wheel is rotating at 49rpm when the cyclist begins to pedal harder, gi

Question

A bicycle wheel is rotating at 49rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.40rad/s2 . What is the wheel's angular velocity, in rpm, 7.0s later? Express your answer to two significant figures and include the appropriate units. How many revolutions does the wheel make during this time? Express your answer to two significant figures and include the appropriate units. A high-speed drill rotating ccw at 2100rpm comes to a halt in 3.00s. What is the drill's angular acceleration? Express your answer with the appropriate units. How many revolutions does it make as It stops? Express your answer with the appropriate units.

Explanation / Answer

w=w0+alpha * t

w=(49/60) *2*pi +.40 *7=7.9rad/s

so angular displacement=w * t +.5 *alpha *t2 =(49/60) *2*pi*7 +.5*.16*7=92 rad

so revolution=90/2*pi=14

so w=2100/60=35rps

so angular acceleration=35/3=11.66rps^2

so no. of rotation=w^2/2*alpha=52.5 no. of rotation

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