# trig

a ferris wheel with a radius of 14m makes one revolution every 30 seconds. the bottom of the wheel is 2.5m above the ground.
a) find the equation
b) how does the equation change if the graph starts at the centre of rotation

1. 👍 0
2. 👎 0
3. 👁 705
1. I will assume you want the initial position to be 2.5 m high

Let's start with the basic curve.
amplitude = 7,
period = 2π/k
2π/k = 30
k = π/15

height = 7sin((π/15)t) , where t is in seconds

make a sketch of this to see that at ..
t=0, h = 0
t = 7.5, h = 7sin(π/2) = 7
t = 15, h = 0
t = 22.5 , h = -7

we want our min to happen when t = 0, so move the curve 7.5 to the right
(or 22.5 to the left)
y = 7sin((π/15)(t-7.5) )
but when t = 0, we want that min of -7 to be 2.5

final curve :
h = 7sin((π/15)(t-7.5) ) + 9.5

adjust my equation for b)

1. 👍 0
2. 👎 0
2. or, since the min occurs at t=0,
h = 9.5 - 7cos((π/15)t)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Trig

As you ride a ferris wheel, your distance from the ground varies sinusoidally with time. When the last passenger boards the ferris wheel and the ride starts moving, let your position be modeled by the diagram provided. Let t be

asked by TRig on March 22, 2012
2. ### 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

asked by Jane on March 3, 2016
3. ### Trigonometry

A Ferris Wheel has a radius of 22 meters and can make a revolution in 82 seconds. Passengers board at the bottom, at a height of 3 m. Write a sinusoidal equation that models a rider's height as a function of time (Use h(t) and t

asked by Muneer on May 26, 2020
4. ### trig

1. A Ferris wheel with a radius of 7m makes one complete revolution every 16 s. The bottom of the wheel is 1.5m above ground. a)Find the equation of the graph b)predict how the graph and the equation will change if the Ferris

asked by Azal on July 20, 2013
5. ### Physics

A particular Ferris wheel (a rigid wheel rotating in a vertical plane about a horizontal axis) at a local carnival has a radius of 20.0 m and it completes 1 revolution in 9.84 seconds. (a) What is the speed (m/s) of a point on the

asked by waqas on August 6, 2011
1. ### 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.

asked by linda on November 15, 2008
2. ### 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

asked by Tabitha on January 14, 2011
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

asked by Meg on February 27, 2011
4. ### Trig Question Help plz

A ferris wheel has a radius of 25 feet. A person takes a seat, and the wheel turns 5pie/6 radians. How far is the person above the ground? please explain to me how to solve this We are to suppose the person got on the wheel at the

asked by John on September 28, 2006
5. ### Precalculus ????

1. At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 50 meters and a diameter of 35 meters. It takes the wheel three minutes to make one revolution. If you start your ride at the midline and

asked by Ella on November 26, 2015
6. ### precalculus

A Ferris wheel has a radius of 40 feet. The bottom of the Ferris wheel sits 0.5 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise. Define a function,f that gives your height

asked by tavia on May 2, 2017