Ferris wheel diameter 100 meters and period of 15 min. Assume that you get on th

Question

Ferris wheel diameter 100 meters and period of 15 min. Assume that you get on the wheel at the bottom and the wheel turns counterclockwise. Let f(t) be your height above ground(state units) at time "t", the number of minutes since you got on the wheel. 1. Create at table for this function showing 4 complete revolutions for this wheel. 2. Is this function periodic, is yes why? 3.Identify amplitude, midline and period. 4. Write a possible equation for this function Ferris wheel diameter 100 meters and period of 15 min. Assume that you get on the wheel at the bottom and the wheel turns counterclockwise. Let f(t) be your height above ground(state units) at time "t", the number of minutes since you got on the wheel. 1. Create at table for this function showing 4 complete revolutions for this wheel. 2. Is this function periodic, is yes why? 3.Identify amplitude, midline and period. 4. Write a possible equation for this function Ferris wheel diameter 100 meters and period of 15 min. Assume that you get on the wheel at the bottom and the wheel turns counterclockwise. Let f(t) be your height above ground(state units) at time "t", the number of minutes since you got on the wheel. 1. Create at table for this function showing 4 complete revolutions for this wheel. 2. Is this function periodic, is yes why? 3.Identify amplitude, midline and period. 4. Write a possible equation for this function

Explanation / Answer

d=100m therefore r =50m

T=15 min

T/2= 7.5 min

Hence

at time t=0 min hight above the ground is H = 0m

at time t=T/4 = 15/4 = 3.75 min hight above the ground is H= 50 m

at time t=T/2 =7.5 min hight above the ground is H = 100m

at time t= 3T/4 = 11.25 hight above the ground is H= 50 m

at t= T=15m hight above the ground is H= 0 m

thus

1)

T (min) H= f(t) (m)

0 0
3.7500 50.0000
7.5000 100.0000
11.2500 50.0000
15.0000 0
18.7500 50.0000
22.5000 100.0000
26.2500 50.0000
30.0000 0
33.7500 50.0000
37.5000 100.0000
41.2500 50.0000
45.0000 0
48.7500 50.0000
52.5000 100.0000
56.2500 50.0000
60.0000 0

2)

yes function is periodic since its value reapet after every 15 sec

3)

max Amplitude of hight is 100m

and period of roatation is 15min

4)

equation of f(t) is given by

f(t) = 100 sin ( pi/15* t) 2

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