XIncorrect. The Singapore Flyer, until recently the world\'s largest Ferris whee

Question

XIncorrect. The Singapore Flyer, until recently the world's largest Ferris wheel, completes one rotation every 32 minutes.1 Measuring 150 m in diameter, the Flyer is set atop a terminal building, with a total height of 165 m from the ground to the top of the wheel. When viewed from Marina Centre, it turns in the clockwise direction. State the o'clock position on the wheel and height above the ground of a person who has ridden the wheel for 56 minutes. Assume that the person boarded the wheel at the 6 o'clock position. The person is in the 12 o'clock position. Height = 165

Explanation / Answer

6 o clock posiiton is where we start
The fist 32 min and we land back at the 6 o clock position

Then another 24 min,
we go 24/32 = 3/4th of the circle....

So, 6 o clock becomes
3 o clock

So,
3 o'clock position -----> ANS

--------------------------------------------------------------

Period = 32 min
So, b = 2pi/32 = pi/16

We start at lowest position
So, we can use a negative cos graph here to model tis....

Max = 165
Min = 15

So, Amplitude, A = (max - min)/2 = 75

D = (max + min)/2 = 90

And C = 0
because we are starting at min

So,
using
y = -Acos[B(t - C)] + D, we get

y = -75cos(pi*t/16) + 90

Now, plug in t = 56 :
y = -75cos(56pi/16) + 90

y = 90

So, 90 m above grnd ------> ANS

Related Questions

Navigate

• Browse (All)
• Browse X
• Subjects

---

---

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