Question 605857: A wheel moves with an angular velocity of 16 radians per second. Find the speed of the wheel if its diameter is 28 inches.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A wheel moves with an angular velocity of 16 radians per second. Find the speed of the wheel if its diameter is 28 inches.
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By dimensional analysis:
rad=radians, rev=revolution, 2πr=circumference, r=radius=28/2=14 in
speed of wheel=16 rad/sec*rev/2π rad*2πr/rev
rad, rev and 2π cancel out
=16r in/sec
=16*14 in/sec
=224 in/sec
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