Trig

posted by Lisa

A ferris wheel has a 14 meter diameter and turns counterclockwise at 6 rpm.

a) Assuming that the center of the wheel is the origin of an x-y coordinate plane, write functions to find the position (x,y) of a rider that starts at the bottom of the wheel.
b) Where is the rider 2 minutes after the start of the ride?
c) When does the rider first reach the top of the wheel?
d) How often does the rider reach the top of the wheel?
e) The bottom of the ferris wheel is 1 meter from the ground. Graph the function that represents the height of the rider from the ground at each moment t. (Use the function for the y-coordinate of the rider that you found in part 'a' and adjust it as necessary)

1. Steve

period = 10 seconds

a)
y = -7cos(2πx/10) = -7cos(πx/5)

b)
y(2) = -7cos(2π/5) = -2.16

c)
half-period = 5 seconds, x=5

d)
rider reaches top once every period - every 10 seconds

e)

h(x) = y(x) + 8 = 8 - 7cos(πx/5)

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 is 35 meters in diameter,and can be boarded at ground level. The wheel turns in a counterclokcwise direction, completing one full revolution every 5 minutes. Suppose that a t=0 you are in the three o'clock position. …
3. 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 …
4. trig

A ferris wheel with a diameter of 100 feet rotates at a constant rate of 4 revolutions per minute. Let the center of the ferris wheel be at the origin. 1. Each of the ferris wheel's cars travels around a cirlce. a) Write an equation …
5. math

a ferris wheel has the diameter of 240 feet and the bottom of the ferris wheel is 9 feet above the ground. find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel
6. College Algebra

A ferris wheel has a diameter of 320 feet and the bottom of the Ferris wheel is 9 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel.
7. 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 …
8. Algebra 2

The Ferris wheel in the figure has a radius of 68 feet. The clearance between the wheel and the ground is 14 feet. The rectangular coordinate system shown has its origin on the ground directly below the center of the wheel. Use the …
9. Trig application

I'm having trouble with this trig application. The scenario goes: A ferris wheel has a diameter of approximately 65 meters. Assume it takes 110 seconds for the ferris wheel to make one complete rotation. find the angular speed 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