Revolution

    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. Answer: (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. Answer: (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. Answer: (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. Answer: (Score for Question 5: ___ of 3 points) 5. How many complete rotations does either bike complete in one second? Answer in a complete sentence. Answer: