The figure below shows a model ferris wheel that a child has constructed using a toy building kit. The wheel has a radius of 40 cm and the center of the wheel is 45 cm above the floor. An electric motor turns the wheel at 4 rotations per minute. a. Let h(t) be the vertical distance between point P and the floor at time t. Express the function h in the form h(t) = a cos k(t – b) + c. Assume that at t = 0 the point P is at the lowest point of its travel.
The figure below shows a model ferris wheel that a child has constructed using a toy building kit. The wheel has a radius of 40 cm and the center of the wheel is 45 cm above the floor. An electric motor turns the wheel at 4 rotations per minute. a. Let h(t) be the vertical distance between point P and the floor at time t. Express the function h in the form h(t) = a cos k(t – b) + c. Assume that at t = 0 the point P is at the lowest point of its travel.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:16. The figure below shows a model ferris wheel that a child has constructed using a toy building kit.
The wheel has a radius of 40 cm and the center of the wheel is 45 cm above the floor. An electric
motor turns the wheel at 4 rotations per minute.
a. Let h(t) be the vertical distance between point P and the floor at time t. Express the
function h in the form h(t) = a cos k(t – b) + c. Assume that at t = 0 the point P is at the
lowest point of its travel.
b. At what time(s) in the first half minute of operation will the point P be 38 cm above the
floor?
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