SOLUTION: Another little car went by at a speed of 40 kilometers per hour. What was the angular velocity of its wheels in radians per second if the diameter of it's wheels was 10 centimeter
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Question 71787This question is from textbook Advanced mathematics
: Another little car went by at a speed of 40 kilometers per hour. What was the angular velocity of its wheels in radians per second if the diameter of it's wheels was 10 centimeters?
This question is from textbook Advanced mathematics
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Another little car went by at a speed of 40 kilometers per hour. What was the angular velocity of its wheels in radians per second if the diameter of it's wheels was 10 centimeters?
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(40km/hr)(1hr/3600sec) = (40/3600)(km/sec) = (1/90)(km/sec)
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Circumference of the wheel = 10pi cm
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Find number of revolutions of the wheel per second.
[(1/90) km]/[10pi cm]=(1/900pi)(km/cm)
=(1/900pi)(1000m/(1/100)m)
=(1/900pi)(100000)
=35.368 rev/second
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Convert those revolutions to radians
35.368(2pi)rad/sec
=222.222 rad/sec
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Cheers,
Stan H.
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