SOLUTION: 1) The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the tire is 30cm and at the current pedaling speed the tire rotates once every

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Question 1183666: 1) The height of a nail in a bicycle tire as it rotates around is periodic in
nature. The radius of the tire is 30cm and at the current pedaling 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 30cm?
Answer by ikleyn(52847) (Show Source):
You can put this solution on YOUR website!
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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 30cm and at the current pedaling 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 30cm?
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The problem asks to write the height function via time. h(t) = . The mid-line is y= 30 cm; the amplitude is 30 cm and the period is 1 second. During the first two seconds, the nail is at the height of 30 cm at t= 1/4, 3/4, 5/4 and 7/4 of a second.