Part A Problem 4.42 What is the wheel\'s angular velocity, in rpm, 8.0 s later?

Question

Part A Problem 4.42 What is the wheel's angular velocity, in rpm, 8.0 s later? A bicycle wheel is rotating at 46 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.46 rad/s Express your answer to two significant figures and include the appropriate units ValueUnits Submit My Answers Give U Incorrect; Try Again; 10 remaining attempts Part B How many revolutions does the wheel make during this time? Express your answer to two significant figures A2 N of revs = Submit My Answers Give Up

Explanation / Answer

w0 = 46 x 2pi rad / 60 s = 4.817 rad/s

alpha = 0.46 rad/s^2

Applying w = w0 + alpha t^2 / 2

w = 4.817 + (0.46 x 8) = 8.497 rad/s

w (in rpm) = 8.497 x 60 / 2pi = 81.1 rpm

(B) theta = w0 t + alpha t^2 /2

theta = 53.2 rad

revolutions = 53.2/2pi = 8.5

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