Problem 4.42 Part A A bicycle wheel is rotating at 50 rpm when the cyclist begin

Question

Problem 4.42 Part A A bicycle wheel is rotating at 50 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.47 rad/s2 What is the wheel's angular velocity, in rpm, 10 s later? Express your answer to two significant figures and include the appropriate units LA w= 1 Value Units Submit My Answers Give Up Part B How many revolutions does the wheel make during this time? Express your answer to two significant figures and include the appropriate units N of revs = Submit My Answers Give Up

Explanation / Answer

Part A:

Here given that -  
i (initial angular velocity)=(50 rev/min)(2/1rev)(1min/60sec) = 5.23 rad/sec
now -
f = final angular velocity
f = i + t
f = 5.23 rad/sec + (0.47rad/sec^2)(10sec)
f = 9.93 rad/sec

convert this in rpm -  
(9.93 rad/sec)(1rev/2rad)(60sec/1min) = 94.0 rpm

Part B:

= (avg)(t)
= [(i + f)/2](10sec)
= [(5.23 + 9.93)/2](10)
= 75.8 rad = 75.8 rad (1rev/2rad) = 12.07 rev = 12.0 rev

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