math

posted by .

A ferris wheel has radius of 25 m and its centre is 27 m above the ground. It rotates once every 40 seconds. Sandy gets on the ferris wheel at its lowest point and the wheel starts to rotate.

Determine a sinusodial equation that gives her height, h, above the ground as a function of the elapsed time, t, where h is in metres and t in seconds

all i know is that amplitude is 25
and period is 40
and the vertical displacement is 27

  • math -

    Such an equation is not unique, I thought

    h = 25sin π/20(t +30) + 27

    when t = 0 , h = 2 , let's say the platform to get on
    when t = 10 , h = 27 , that makes sense
    when t = 20, h = 52 , at the top, makes sense
    when t = 40, h = 2, back down to the start,

    looks ok

  • math -

    i don't get where the horizontal displacement of +30 comes from :S

  • math -

    I started with

    y = 25sin π/20(t) , sketch that graph

    I knew I had to raise it 27 metres

    but that the low point or the starting point of the ride at 30 seconds, we wanted that to be at 0 seconds, so I had to move the whole curve 30 seconds to the left.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig question

    A Ferris wheel has a deameter of 50m. The platform at the bottom, where you load the ferris wheel, is 3 m above the ground. The Ferris wheel rotates three times every two minutes. A stopwatch is started and you notice you are even …
  2. math

    a ferris wheel has a radius of 8m and rotates every 12 hrs. THe bottom of the ferris wheel is 1m above the ground. draw a graph describing how a person's height above the ground varies with time. Find an qeation for your graph.
  3. Physics

    Fairgoers ride a Ferris wheel with a radius of 5.00 {\rm m} . The wheel completes one revolution every 31.5 s What is the average speed of a rider on this Ferris wheel?
  4. Trigonometry

    A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5 m above the ground. The ride starts at the bottom. Find the sinusoidal function that models this Ferris wheel …
  5. Math (Trig)

    a ferris wheel has a radius of 10m and is one meter above the ground. If the ferris wheel makes 1 revolution every 20 seconds, write an equation that gives the height above the ground of a person on the ferris wheel as a function of …
  6. Trigonometric Functions

    A person is riding a ferris wheel that turns at a constant speeed. The lowest point of the ferris wheel is at ground level. Another person is standing at the side of the wheel on a platform 4m above the ground. She notes the times …
  7. calculus

    Eric is standing on the ground, a distance of 70 ft from the bottom of Ferris wheel that has a 20 ft radius. His arm is at the same height as the bottom of the Ferris wheel. Janice is on Ferris wheel which makes one revolution counter …
  8. Math

    A Ferris wheel has a radius of 35m and starts at 2m above the ground. It rotates once every 53 second. a) determine the cosine equation of the graph, if the rider gets on at the lowest point. b) what is the height of the rider at 81 …
  9. Physics

    A particular Ferris wheel takes you through one complete revolution every 25.3 seconds. If the radius of the Ferris wheel is 10.4 m, and your mass is 63.3 kg, calculate: (a) Your apparent weight, in N, when you are at the top of the …
  10. math trig

    A Ferris wheel with a diameter of 37 meters rotates at a rate of 4 minutes per revolution. Riders board the Ferris wheel 4 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts. Write …

More Similar Questions