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Sonbull [250]
3 years ago
15

A ferris wheel is 35 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position

on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).
Physics
2 answers:
Drupady [299]3 years ago
6 0

Answer:

h=f(t)= -17.5cos(\pi /3)+20.5

Explanation:

Amplitude is 35/2=17.5

Midline= Distance from ground + Amplitude = 17.5+3= 20.5

Period is time taken to finish 6 minutes

2π/b=T

2π/b=6

b=π/3

h=f(t)= -17.5cos(\pi /3)+20.5

Pie3 years ago
5 0

Answer:

y = 2 + \frac{35}{2}(1 - cos(\frac{\pi}{3} t))

Explanation:

As we know that time period of the ferris wheel is given as

T = 6 min

so we have

\omega = \frac{2\pi}{T}

\omega = \frac{2\pi}{6} rad/min

\omega = \frac{\pi}{3} rad/min

now angular position at any time "t" is given as

\theta = \omega t

so the height as a function of time is given as

y = h_i + R - Rcos\theta

y = 2 + \frac{35}{2}(1 - cos(\frac{\pi}{3} t))

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