SOLUTION: The speed of a car is 66 km/hr. If each wheel of the car is 140 cm in diameter, find the number of revolutions made by each wheel per minute.

Question 825262: The speed of a car is 66 km/hr. If each wheel of the car is 140 cm in diameter, find the number of revolutions made by each wheel per minute.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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circumference of wheel in meters:
c = 2*pi*r
c = 2*pi*(140/2 cm) * (1/100 m/cm)
c = 4.398229715025710 m
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by definition:
c = 4.398229715025710 m/rev
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linear speed of car in meters/minute:
s = 66 km/hr * (1000 m/km) * (1/60 hr/min)
s = 1100 m/min
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angular speed of wheel:
a = s/c
a = (1100 m/min)/(4.398229715025710 m/rev)
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answer:
a = 250.1 rev/min
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