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 seconds?

asked by Sarah
  1. since cos(x) starts at a maximum, you must have

    -cos(x)

    The radius is 35, so

    y = -35cos(x)

    It starts at y=2, so the axle is at y=37:

    y = 37-35cos(x)

    The period is 53, so

    y = 37-35cos(2pi/53 x)

    now just do what you need with that.

    posted by Steve
  2. Thank you so much! This was so helpful! Really appreciate it

    posted by Sarah

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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
  2. Trigonometric Function

    A Ferris wheel has a radius of 10 meters and is revolving 6 times each minute (wheel's frequency.) The wheel's center is 12 meters from the ground. If time starts on the ground, then find a sine function that shows the height from
  3. math

    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
  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
  5. math

    the maximun height of a ferris wheel is 35m. the wheel takes 2 mins to make one revolution. passengers board the ferris wheel 2m above the ground at the bottom of the rotation. a. write an equation to model this b. how high is the
  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. Math

    The ferris wheel at the town fair has a radius of 25 feet. Passengers enter the cars on the ferris wheel at​ it’s lowest point which is 10 feet off the ground. Assume that passengers rotate on the wheel 5 times in 1 minute.
  8. 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.
  9. Math ( trig )

    If a person on the Ferris wheel is 45 feet above the ground. The Gris wheel has a radius of 47.f and is 5 feet above the ground. At what degrees had the Ferris wheel rotated counted clockwise?
  10. Physics :(( help please

    You and a friend are going to ride on a Ferris wheel. For a little extra fun, when your friend is at the very top of the Ferris wheel she's going to drop a tennis ball. How far around the Ferris wheel in radians from your friend

More Similar Questions