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Unformatted text preview: Physics 212, Homework 1 Practice Problems, Chapter 10: Questions: 1, 8, 10, 16, 22; Problems 1, 7, 23, 31, 47, 59, 65, 73 Note: these solutions do NOT follow the grading rubric. Question 1: A bicycle odometer (which measures distance traveled) is attached near the wheel hub and is designed for wheels that are 27 inches in diameter. What happens if you use it on a bicycle with 24-in diameter wheels? Let us assume that the odometer actually measures the number of revolutions of the wheel, and then uses this number and the wheel size it is designed for to calculate the distance traveled. If the odometer measures one revolution, it should read that the dis- tance traveled is one circumference of the wheel. It is designed for 27-in. wheels which have circumference πd = π (27 in ). But, if it is used for 24-in wheels, then the actual distance traveled in one revolution is only the circumference of the 24-in wheel, which is π (24 in ). So, the odometer will overestimate the distance traveled, and report too large)....
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