tem 16 Part A A bicycle wheel is rotating at 41 rpm when the cyclist begins to p

Question

tem 16 Part A A bicycle wheel is rotating at 41 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.43 rad/s What is the wheel's angular velocity. in rpm, 7.0 s later? Express your answer to two significant figures and include the appropriate units. w70 rpm Submit My Answers Give Up Correct Significant Figures Feedback: Your answer 7.31(-69.8 rpm was either rounded differently or used a different number of significant figures than required for this part Part B How many revolutions does the wheel make during this time? Express your answer to two significant figures and include the appropriate units. Nof revs = 13 Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining

Explanation / Answer

Given,

w0 = 41 rpm = 4.29 rad/s ; alpha = 0.43 rad/s^2

A)t = 7 s

We know from eqn in circular motion

w = w0 + alpha t

w = 4.29 + 0.43 x 7 = 7.3 rad/s

w = 7.3 rad/s = 69.75 rpm

Hence, w = 69.75 rpm = 70 rpm

B)from eqn in circular motion

theta = w0t + 1/2 alpha t^2

theta = 4.29 x 7 + 0.5 x 0.43 x 7^2 = 40.57 rad

N = 40.57/2 x 3.14 = 6.46 rev

Hence, N = 6.46 rev

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