SOLUTION: A woman rides a bicycle for 1 hour and travels 16 kilometers. Find the angular velocity of the wheel if the radius is 30 centimeters. (Round your answer to the nearest hundredth.)

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Question 1075248: A woman rides a bicycle for 1 hour and travels 16 kilometers. Find the angular velocity of the wheel if the radius is 30 centimeters. (Round your answer to the nearest hundredth.)

rad/sec
Answer by Boreal(15235) (Show Source):
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16,000 m and the circumference of the wheel is 2*pi*30=188.496 cm or 1.88496 m. That is also 2 pi radians.
The number of revolutions of the wheel is 16,000/1.88496=843 (don't round the first and round only this).
The number of radians/second is 8488.2636*2pi/3600 =14.81 radians/second.
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Check
This is 16 km/h or 4.44 m/sec. One circumference of a wheel is 1.9 meters, so this is about 2.3 circumferences, and each circumference has 2 pi radians. This is 4.6 pi radian/sec which is 14.45 radians/sec