Question 71787
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.