A mechanic changing a tire rolls a wheel along the ground towards the car. The radius of the wheel is 42cm, and the speed of the wheel as it rolls is 2 revolutions per second. Height Above Ground (m) radiu wheel spet Time (s) The diagram above illustrates the vertical motion of a point on the tire over time. It is possible to model the height of this point using a sinusoidal function of the form h(t)=-a sin[b(t−c)]+d. a) Determine the length of time required for one revolution of the tire. b) State the numerical value for each of the parameters a, b, c & d. And write a function representing the motion of the point in the form h(t)=-a sin[b(t−c)]+d.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A mechanic changing a tire rolls a wheel along the ground towards the car. The radius of the
wheel is 42cm, and the speed of the wheel as it rolls is 2 revolutions per second.
Height Above Ground
(m)
radiu
HIDE
wheel spet
Time
The diagram above illustrates the vertical motion of a point on the tire over time. It is possible to model
the height of this point using a sinusoidal function of the form h(t)=-a sin[b(t-c)]+d.
a) Determine the length of time required for one revolution of the tire.
b) State the numerical value for each of the parameters a, b, c & d.
And write a function representing the motion of the point in the form h(t)= -a sin[b(t−c)]+d.
Transcribed Image Text:A mechanic changing a tire rolls a wheel along the ground towards the car. The radius of the wheel is 42cm, and the speed of the wheel as it rolls is 2 revolutions per second. Height Above Ground (m) radiu HIDE wheel spet Time The diagram above illustrates the vertical motion of a point on the tire over time. It is possible to model the height of this point using a sinusoidal function of the form h(t)=-a sin[b(t-c)]+d. a) Determine the length of time required for one revolution of the tire. b) State the numerical value for each of the parameters a, b, c & d. And write a function representing the motion of the point in the form h(t)= -a sin[b(t−c)]+d.
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