A ferris wheel is 10 meters in diameter and boarded from a platform that is 4 me

Question

A ferris wheel is 10 meters in diameter and boarded from a platform that is 4 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 2 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).

Show Intro/Instructio A ferris wheel is 10 meters in diameter and boarded from a platform that is 4 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 2 minutes. The function h ft) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h-ft) f(t) Preview Get help: Video License Points possible: 1

Explanation / Answer

Given that;

Diameter of the wheel = 10m (wheel radius = 5m) and the wheel completes 1 full revolution in 2 minutes.

Suppose that, f(0) = 4, that is where a seat starts.

we want f(z) to have a min of 4, amplitutde of 5 (wheel radius) and a period of 2 minutes.

Therefore, f(t) becomes

f(t) = 4 + 5 (1 - cos (2pi t/2))

Since cos has max value at t=0, 1- cos has min

Hence the final equation becomes

f(t) = 4 + 5 (1 - cos (2pi t/2))

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.