At what time(s) during the first two seconds is the nail at a height of 10cm?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve sub part b. The equation that I got for sub part a is f(x)=20cos(2pi(x-0.5))+20
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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:- Paint 3D ct Crop A & Brushes 2D shapes 3D shapes Magic select C Stickers T Text ☀ Effects Canvas Fr Mixed reality Ip 3D library 3D view 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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