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The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the tire is 20cm and at the current pedalling speed the tire rotates once every second. a. Determine the equation of a sinusoidal function that models this situation assuming that the nail starts on the ground at time zero.

The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the tire is 20cm and at the current pedalling speed the tire rotates once every second. a. Determine the equation of a sinusoidal function that models this situation assuming that the nail starts on the ground at time zero.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the tire is 20cm and at the current pedalling speed the tire rotates once every second. a. Determine the equation of a sinusoidal function that models this situation assuming that the nail starts on the ground at time zero. b. At what time(s) during the first two seconds is the nail at a height of 10cm?
Transcribed Image Text:The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the tire is 20cm and at the current pedalling speed the tire rotates once every second. a. Determine the equation of a sinusoidal function that models this situation assuming that the nail starts on the ground at time zero. b. At what time(s) during the first two seconds is the nail at a height of 10cm?
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