# Write a Sinusoidal function for the following. A ferris wheel is 100 feet in diameter and makes one revolution in 45 seconds. If the rider needs to walk up a ramp to get to their seat that is 5 feet

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### Pre-Calc

Write a Sinusoidal function for the following. A ferris wheel is 100 feet in diameter and makes one revolution in 45 seconds. If the rider needs to walk up a ramp to get to their seat that is 5 feet above the ground, write the model for the rider.

### 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 in terms of time (t) in seconds.

### Math

Tony visits the local fair and sees one if therides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. if it takes 12 seconds to make one full revolution, what is the equation of the height of a person on the ferris wheel at any time...

### Honors Pre Calculus

Tony visits the local fair and sees one of the rides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. If it takes 12 seconds to make one full revolution, what is the equation of the height of a person on the ferris wheel at any time t?

### Trig

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 ...

### math

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. The height h (in feet) of a Ferris wheel car located at the point (x, y) is given by h = 50 + y where y is related to the ...

### Math-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. The height h (in feet) of a Ferris wheel car located at the point (x, y) is given by h = 50 + y where y is related to the ...

### Physics

While riding a Ferris wheel, the rider determines that the Ferris wheel makes 1.5 revolutions per minute. a) knowing that the diameter of the Ferris wheel is 100 ft, determine the angular speed (in rad/s) of the Ferris wheel. b) Determine the linear speed (in ft/s) of the ...

### 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 time if that person starts (t=0) 1/8th of a ...

### 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 the number of seconds that have elapsed since you...

### 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? If a rider accidentally drops a stuffed animal at the top of the wheel, where does it land relative to the ...

### Pre-Calc Trig

Create both a sine and cosine model for height of a passenger off of the ground for each of the following Ferris wheels. 1) customers must climb up 12 foot steps to get into the Ferris wheel (I.e) bottom of Ferris wheel is at the top of the steps Diameter 67ft Rotional speed 1...

### math (sinusoidal functions

The height of the rider on a Ferris Wheel can be modeled by a cosine function. At time t = 0, a rider boards the Ferris Wheel at its minimum height of 3 m. The maximum height of the Ferris Wheel is 39 m. During the 8 minute ride, the rider reaches the minimum height 5 times (...

### MATH

A Ferris wheel completes one revolution every 90 s. The cars reach a maximum of 55 m above the ground and a minimum of 5 m above the ground. The height, h, in metres, above the ground can be modeled using a sine function, where t represents time, in seconds. Assume ride starts...

### Math

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 13 minutes to make one revolution. Write the sinusoidal function, f(t), that models the height of your chair at any time, t I got...

### math

At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 80 meters and a diameter of 40 meters. It takes the wheel seven minutes to make one revolution. Write the sinusoidal function, f(t), that models the height of your chair at any time, t. I...

### Math Help Please I Don't Understand

A Ferris wheel has a diameter of 60 feet. When you start at the bottom of the Ferris wheel, you are 2 feet from the ground. The Ferris wheel completes one rotation in 2 minutes. Create a function that represents your height relative to the center of the Ferris wheel as a ...

### Math

A Ferris wheel has a diameter of 60 feet. When you start at the bottom of the Ferris wheel, you are 2 feet from the ground.The Ferris wheel completes one rotation in 2 minutes. Create a graph that represents your height relative to the center of the Ferris wheel as a function ...

### pre-calculus

I have absolutely no idea even where to start. Please help! The carnival has come to town with a ferris wheel that has a radius of 30 feet. People get on when passenger compartments are at the lowest, 2 feet off the ground. The wheel makes a full revolution in 20 seconds. ...

### 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 of the circle where x and y are measured in ...

### 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 a formula for the height of the couple t ...

### Algebra

A person riding a Ferris wheel with a diameter of 64 feet travels once around the wheel in 25 seconds. What is the average speed of the rider in miles per hour? (Round your answer to one decimal place.)

### Math -Trig Please help!

At one time, Maple Leaf Village (which no longer exists) had North America’s largest Ferris wheel. The Ferris wheel had a diameter of 56 m, and one revolution took 2.5 min to complete. Riders could see Niagara Falls if they were higher than 50 m above the ground. Sketch ...

### trig

I have finished the questions for the following, but could someone please check to see if my answers are right because there are no answers for these questions since it's a sheet that my teacher gave us. Ok, just let me know where my errors are and what is the correct answer ...

### calculus

a large ferris wheel is 100 feet in diameter and rises 10 feet off the ground. each revolution of the wheel takes 30 seconds. A) express the vertical distance "H" of the seat off the ground as a function of time "t" if t=0 corresponds to a time when the seat is at the bottom. ...

### Math

A ferris wheel has a diameter of 10 m and takes 24 sec to make one revolution. The lowest point on the wheel is 1 m above the ground. (4 marks) a. Sketch a graph to show how a rider's height above the ground varies with time as the ferris wheel makes a rotation. Assume the ...

### 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. Write a formula, using the sine function for ...

### 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 Ferris wheel. (b) Your apparent weight, in N...

### math

The height of a person above the ground on a Ferris wheel is given by the function h(t)=9 sin {pi/20 (t- pi/2))+ 12 where h(t) is the height in meters of person t seconds after getting on a) how long does it take the Ferris wheel to make one complete revolution b)what is the ...

### Math

At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 100 meters and a diameter of 50 meters. It takes the wheel seven minutes to make one revolution. If you start your ride at the midline and the ferris wheel rotates counter clockwise, how ...

### trig

Brian is riding a Ferris wheel. The wheel has a radius of 25 feet, and at his lowest point, Brian is 8 feet off the ground. Brian times how long it takes to travel from the lowest point to the highest point and finds that it takes 8 seconds. Write a sinusoidal equation to ...

### Pre-Calc

A ferris wheel is 63 feet tall when it reaches its highest point at 8 seconds. At the bottom of the ride, you are 3 feet off the ground. So how high off the ground will you be 5 seconds after the ride starts? Write a function f so that f(t) will equal how high in feet you will...

### 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 the ferris wheel rotates counter clockwise, ...

### Math

A carnival ferris wheel that has a diameter of 18m, goes 4 seconds every revolution, there are 5 revolutions, also the ferris wheel is 2m above the ground Cosine and Sine equation needed

### Precal

Suppose that you are sitting in a chair on a Ferris wheel that has a diameter of 120 feet that is boarded 6 feet above the ground at the 6 o’clock position. If the Ferris wheel moves in a counterclockwise direction and makes one revolution every 12 minutes, how high will ...

### math

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 the ferris wheel rotates counter clockwise, how ...

### pre-calculus

A.) A Ferris wheel has a radius of 32 feet and completes one revolution every 5.4 minutes. What is the speed of the Ferris wheel (in radians per minute)? _______radians per minute B.) A Ferris wheel has a radius of 39 feet and travels 5.6 feet every second. What is the speed ...

### Math

Suppose that a water wheel has a radius of 22 feet and makes a complete revolution every 14 seconds. The bottom of the water water wheel is 1 foot above the ground level. One step of the water wheel is painted red to be able to determine the amount of time for one complete ...

### 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 with the center of the ferris wheel, going ...

### Math

A Ferris wheel has a radius of 30 feet and travels 3.6 feet every second. How long does it take for the Ferris wheel to complete one revolution?

### math

At the amusement park, you decide to ride the Ferris wheel, which has a maxmum height of 80 meters and a diameter of 40 meters. It takes the wheel seven minutes to make one revolution. If you start your ride at the midline and the ferris wheel rotates counter clockwise, how ...

### trigonometry

a ferris wheel is 50 meters in diameter with the bottom of the wheel 1 meter off the ground it makes a full revolution in 12 minutes. What function would track the height above the ground for a point that is at the bottom of the wheel when it starts moving?

### n

A ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. The function h = f(t) gives your height ...

### precalculus

A ferris wheel is 20 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. The function h = f(t) gives your height ...

### Math

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 5 minutes to make one revolution. If you start your ride at the midline and the ferris wheel rotates counter clockwise, how many ...

### 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 ferris wheel in radians per minute and ...

### 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 wheel turns more slowly c) test your predictions ...

### calculus

A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 18 m above ground level?

### calculus

A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 25 m above ground level?

### geometry

A person riding the original Ferris Wheel is traveling at a speed of 0.495 mph. If one revolution takes 9 minutes, what is the diameter of the Ferris Wheel? Show your work.

### 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 clock wise every 16 secs. At the instant ...

### Math

A ferris wheel has a radius of 20m and the bottom is 2m above the ground. The wheel makes one rev in 40 sec. If the rider gets on at 30^0 on the left of the lowest point going downwards, wirte the sine function to show this movement

### 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.

### 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

### Math

A Ferris wheel makes 3 revolutions per minute. If the diameter is 20 feet, write an equation to describe the height off the ground of a particular seat after t seconds. I got d=10cos(6pi)t as the answer, is this correct?

### Honor Physics

Fairgoers ride a Ferris wheel with a radius of 5.00 . The wheel completes one revolution every 33.0 . If a rider accidentally drops a stuffed animal at the top of the wheel, where does it land relative to the base of the ride? (Note: The bottom of the wheel is 1.75 above the ...

### trig

The ferris wheel in an amusement park. It has a diameter of 24m, and it takes 40s to make one complete revolution. If Peter gets on a gondola which is vertically below the centre of the ferris wheel, find his rise in the height after 5s.

### physics

A Ferris wheel at an amusement park having a diameter of 14 m completes one rotation in 45 s. (a) What is the rotational speed of this Ferris wheel in revolution per minute and in degrees per second?

### Math

A wheel with radius 4 cm is being pushed up a ramp at a rate of 8 cm per second. The ramp is 760 cm long, and 250 cm tall at the end. How far does thw wheel Traveling at 8 cm/sec.How long does it take the wheel to complete one rotation. What is the initial height of the center...

### pre-calc

The original ferris wheel, built by George Ferris for the Columbian Exposition of 1893, was much larger and slower than its modern counterparts: It has a diameter of 250 feet and contained 36 cars, each of which held 40 people; it made one revolution every 10 minutes. Suppose ...

### Math

The rim of the London Eye (a 135m diameter ferris wheel) moves 26 cm/sec, slow enough for passengers to safely get on the wheel from the platform (2 meters above ground level) without stopping the wheel at the bottom of its rotation. What's the height at the bottom of the ...

### Trigonometric Functions! (Ferris Wheel)

The Ferris wheel at a carnival has a diameter of 18m and descends to 2m above the ground at its lowest point. Assume that a rider enters a car at this point and rides the wheel for two revolutions My main problem is how to get the phase shift. (The answer says its 270 degrees)

### Science

The rider to a Ferris wheel moves at a rate of 0.18m/s2. If the rider is 5.0m from the center of the Ferris wheel, what is his/her velocity?

### Math

A ferris wheel is 30 meters in diameter and boarded in the six o'clock position from a platform that is 10 meters above the ground. The wheel completes one full revolution every 10 minutes. At the initial time t=0 you are in the twelve o'clock position.Find a formula, using ...

### pre-calc

A ferris wheel is 28 meters in diameter and makes one revolution every 10 minutes. For how many minutes of any revolution will your seat be above 21 meters?

### precal

A Ferris wheel is 32 meters in diameter and makes one revolution every 4 minutes. For how many minutes of any revolution will your seat be above 24 meters?

### Math

The first ferris wheel was built in1893 in Chicago. It's diameter was 250 feet.how many feet did the ferris wheel rotate with each complete turn?

### math-precalculus

Please help.. A wheel with radius 3 cm is being pushed up a ramp at a rate of 6 cm per second. The ramp is 730 cm long, and 150 cm tall at the end A: Traveling at 6 cm/sec, how long does it take the wheel to complete one rotation? B: What is the initial height of the center of...

### trig

ferris wheel one has a 40ft diameter, revolves once every 30 seconds and is 5ft above ground. Ferris wheel two has a diameter of 20feet, revolves once every 15seconds and is 2 feet above the ground. each angular velocity?? each linear velocity??

### physics

Fairgoers ride a Ferris wheel with a radius of 5.50 m, the bottom of which is 1.75 m above the ground. The wheel completes one revolution every 32.0 s. If a rider accidentally drops a stuffed animal at the top of the wheel, where does it land relative to the base of the ride...

### 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 passengers after 45s c. draw a graph

### differential calculus

a ferris wheel 15m in diameter makes 1 revolution every 2 minutes. If the center of the wheel is 9m above the ground, how fast is the passenger in the wheel moving vertically when he is 12.5m above the ground?

### Math (please help!)

The largest Ferris Wheel in the world is the London Eye in England. The height (in metres) of a rider on the London Eye after t minutes can be described by the function h(t) = 67 sin[0.2094(t-30)] + 70 Using this equation i'm supposed to find the diameter, the maximum (top of ...

### Math, Trigonometry

The height of a person on a ferris wheel is measured by function h(t)=38 sin 3.5 (t-4.0)+41.? h= height of person in feet t=represents the time in minutes. a) At what height, to the nearest tenth, are passengers loaded onto the Ferris wheel ? what characteristics of the graph ...

### math

The Flying Zucchini Circus Troupe has a human cannon- ball act, shooting a performer from a cannon into a spe- cially padded seat of a turning Ferris wheel. The Ferris wheel has a radius of 40 feet and rotates counterclockwise at one revolution per minute. The special seat ...

### 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 above the ground (in feet) in terms of the angle...

### math-precalculus

A wheel with radius 5 cm is being pushed up a ramp at a rate of 6 cm per second. The ramp is 540 cm long, and 260 cm tall at the end. A point P is marked on the circle as shown (picture is not to scale). wheelonramp.gif 1. Traveling at 8 cm/sec, how long does it take the wheel...

### Math - need help ASAP!! Please!

The question relates to application of sine functions. -------------- A carnival Ferris wheel with a radius of 7m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5m above the ground. a) Draw a sketch to show a person's height (h) above the ground ...

### Science

The rider of a ferris wheel moves at a rate of 0.18 m/s2. If the rider is 5.0 m from the center of the ferris wheel, What is his/her Velocity? Can't figure out if the RADIUS and RATE are the same and Which one is the radius/rate?

### Math

A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16s. The bottom of the wheel is 1.5 m above the ground. Find the amplitude, vertical shift, phase shift and k value and period. Do all calculations and then make your final equation. Predict how ...

### Pre Calculus 12

Modelling with sine/cosine A Ferris wheel has a diameter of 30m. The bottom of the wheel is 1.5m off the ground it takes 3.5min to make one complete revolution. a person gets on ferris wheel at its lowest point at time = 0. write an equation that represents persons height ...

### math/geometry

Jamie rides a Ferris wheel for five minutes. The diameter of the wheel is 10 meters,and its center is 6 meters above the ground. Each revolution of the wheel takes 30 seconds. Being more than 9 meters above the ground causes Jamie to suffer an anxiety attack. For how many ...

### Math

The height, h, in metres, above the ground of a rider on a Ferris wheel can be modelled by the equation: h= 10 sin ((pi/15 t) - 7.5) + 12 where t is the time, in seconds. At t=0, the rider is at the lowest point. Determine the first two times that the rider is 20 m above the ...

### Math

Find a formula and graph the function: A ferris wheel is 20 meters in diameter and boarded in the six oclock position from a platform that is 4 meters above the ground. The wheel completes one full revolution every 2 minutes. At t=0 you are in the twelve oclock position.

### Trig

A ferris wheel at the fair has a radius of 60 feet. If it takes 24 seconds to make a full revolution, what is the linear speed for the passengers?

### Math

A Ferris wheel has a diameter of 140 feet. There are 40 cars for riders, and they are placed at even intervals around the Ferris wheel. What is the best approximation of how many feet apart the cars are placed?

### math (trigonometry)

A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question. c) Determine the angular velocity of the Ferris wheel in radians/second d)How far (in meters) has ...

### 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 gives her height, h, above the ground as a ...

### trig

A Ferris wheel has a radius of 15 meters and takes 20 seconds to complete one full revolution. The seat you are riding in, takes 7 seconds to reach the top which is 35 meters above the ground. Write a sine or cosine equation for the height of your seat above the ground as a ...

### Trig - Ferris Wheel

A ferris wheel is 250 ft in diameter and revolves every 40 second when in motion. You step up to the seat on the wheel at the bottom 2 feet about the fround so you are sitting 4 feet about the ground at start. Derive the formula for the height of your seat at time (t). Then ...

### 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?

### Math (PLEASE HELP!)

A ferris wheel has a radius of 13 m. It rotates once every 24 seconds. A passenger gets on at the bottom of the wheel from a ramp which is one metre above ground level. a) If the height of the passenger is measured from the ground, determine an equation for the height of the ...

### Math (PLEASE HELP!)

A ferris wheel has a radius of 13 m. It rotates once every 24 seconds. A passenger gets on at the bottom of the wheel from a ramp which is one metre above ground level. a) If the height of the passenger is measured from the ground, determine an equation for the height of the ...

### Math (Trig)

In 1893, the city of Chicago put on a World's Fair to celebrate the 400th anniversary of Columbus' trip to the Americas. The most spectacular at this fair was a huge Ferris Week built by an engineer named George Ferris. This remarkable structure had a diameter of 250 ft, was ...

### circumference...math

A Ferris wheel makes 12 revolutions per ride. How far would someone travel during one ride if the diameter is 63 feet?...thanks!

### college trip

6) A Ferris wheel at the 1904 St. Louis World’s Fair had a diameter of 250 ft and made one revolution in 30 minutes a) Find the exact angular speed in radians per hour b) Find the linear speed of a person riding the Ferris wheel in miles per hour. Round to 2 decimal

### Pre-Cal

A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 7 minutes. You make two complete revolutions on...

### pre-cal

A small ferris wheel: A student is riding a 20-m-diameter ferris wheel that is making three revolutions per minute. If there are eight equally spaced seats on the Ferris wheel, then what is the length of the arc between two adjacent seats?

### math

A Ferris wheel has a maximum height of 245 feet and a wheel diameter of 230 feet. Find an equation for the wheel if the center of the wheel is on the y-axis and y represents the height above the ground. equation is ?