A bicycle is classified by the diameter of its tires. For example, a 20-inch bicycle has tires that are 20 inches in diameter.
The number of times a bicycle tire rotates in a given period of time is directly related to the distance traveled in that period of time.
(Score for Question 1: ___ of 4 points)
1. A 26-inch bicycle is pedaled so that the tires rotate at a rate of 200 revolutions per minute. A 20-inch bicycle is pedaled so that its tires rotate at a rate of 200 revolutions per minute, as well. What is the linear velocity of each bicycle? State your answers in inches per minute, rounded to the nearest tenth.
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(Score for Question 2: ___ of 4 points)
2. Typically, the speed at which a bicycle moves is expressed in miles per hour. Convert the linear velocity of the 26-inch bicycle and the 20-inch bicycle to miles per hour. Round your answer to the nearest tenth.
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(Score for Question 3: ___ of 5 points)
3. How many more revolutions must the 20-inch bicycle complete to have the same linear velocity as the 26-inch bicycle? Round your answer to the nearest tenth.
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(Score for Question 4: ___ of 4 points)
4. What is the angular velocity of each bicycle? Write your answer in exact form in radians per second.
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(Score for Question 5: ___ of 3 points)
5. How many complete rotations does either bike complete in one second? Answer in a complete sentence.
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