# Trigonometric Functions! (Ferris Wheel)

5,252 results

### 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 that the person on the wheel is at the same ...

### 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)

### 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 the ground for a car on the Ferris wheel at ...

### 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...

### Physics

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 should you sit so you can catch the ball? ...

### 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 should you sit so you can catch the ball? ...

### 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 ...

### physics

A ferris wheel bucket travels around at 3.40 m/s. The radius of the ferris wheel is 39.8 m. What is the ferris wheel's angular velocity?

### 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 ...

### 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 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 ...

### 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

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 ...

### 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...

### 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 ...

### 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?

### 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 (...

### Advanced Functions

The vertical position, h, in metres, of a gondola on a Ferris wheel is modelled using the function h = 10 sin ((pi/15) (t-d)) + 12 where t is the time, in seconds. The gondola must assume a vertical position of 7 m at t=0 s , and be on its way upward. Determine the phase shift...

### pre-cal

A small ferris wheel, a student is riding a 20-m-diameter ferris wheel that is making 3 revolutions per minute. What is the area of the sector between 3 of the seats (3/8) of the wheel?

### pre cal

A small ferris wheel, a student is riding a 20-m-diameter ferris wheel that is making 3 revolutions per minute. What is the area of the sector between 3 of the seats (3/8) of the wheel?

### 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 ...

### 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 ...

### 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 ...

### Physics

A 2000kg ferris wheel accelerates from rest to an angular speed of 2.0 rad/s in 12 secs. Approximate the ferris wheel as a circular disk with a radius of 30m. what iss the net torque on the wheel

### Integers

Suppose Frontier City Amusement Park bought a ferris wheel for $92,000. 42,512 people paid $2.00 each to ride the ferris wheel the first year. Ignoring the cost of operating how much money did the park lose on the ferris wheel it first year.

### 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. What is the highest point off the ground that a ...

### 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 ...

### 5th grade math (word problems)

I'm not sure how to solve this: A group of friends went to an amusement park. 10 of them rode the ferris wheel, 15 rode carousel, and 11 rode the roller coaster. 7 of them rode both the ferris wheel & roller coaster. 4 rode both the ferris wheel & carousel. 5 rode both the ...

### 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

### 7th grade math

A group of 32 students went to the amusement park.All of them either rode the Ferris wheel or Roller coaster.Seventeen rode the Ferris wheel,23 rode the roller coaster,and 8 did both.How many rode only the Ferris wheel

### 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 ...

### Physics

At a county fair, a boy takes his teddy bear on the giant Ferris wheel. Unfortunately, at the top of the ride, he accidentally drops his stuffed buddy. The wheel has a diameter of 14.6 m, the bottom of the wheel is 1.1 m above the ground and its rim is moving at a speed of 1.0...

### Physics

At a county fair, a boy takes his teddy bear on the giant Ferris wheel. Unfortunately, at the top of the ride, he accidentally drops his stuffed buddy. The wheel has a diameter of 14.6 m, the bottom of the wheel is 2.4 m above the ground and its rim is moving at a speed of 1.0...

### Science

At a county fair, a boy takes his teddy bear on the giant Ferris wheel. Unfortunately, at the top of the ride, he accidentally drops his stuffed buddy. The wheel has a diameter of 15.3 m, the bottom of the wheel is 3.37 m above the ground and its rim is moving at a speed of 1....

### Physic

Me and my friend are playing on a Ferris wheel which has Radius of 20 Meter and had an constant angular velocity of 0.2 rad/s . Then, When I'm at the very top of the Ferris wheel i'm going to drop a tennis ball( dropping without initial velocity). How far around the Ferris ...

### Physics

In a ferris wheel, one person is at the top and another at the bttom. The ferris wheel rotates such that the magnitude of the tangetial velocity of each person is equal |v|top=|v|bottom. Determine for the person at the bottom, the force the seat exerts on the person. Use a ...

### 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 ...

### maths

diameter of a ferris wheel is 15 metres. how far does a seat on the ferris wheel travel in 5 revolutions

### 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

### 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 ...

### CHHS

A a ferris wheel has a diameter of 100ft. The passengers ride in cars that make 5 revolutions in 7.5 minutes. Approximately how far does a car on the Ferris wheel travel in 1 minute

### 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.

### 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...

### 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

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

### Advanced Functions

the ferris wheel at an amusement park measures 16m in diameter. the wheel does 3 rotations every minute. the bottom of the wheel is 1m above the ground... a) determine the simplest equation that models Megan's height above that ground(h) over time (t). give 2 more equations ...

### physics

A Ferris wheel with radius 8.8 m rotates at a constant rate, completing one revolution every 34.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.212 rad/s2 when a passenger is at the top of the wheel. Find the magnitude and direction of the passenger's ...

### math

The Ferris wheel at the county fair is 30 feet tall. If a person rides the Ferris wheel around 4 times, how far has he traveled? 60 ft 120 ft 90.8 ft 376.8 ft please answer as soon as possible

### 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 ...

### Advanced Functions

the ferris wheel at an amusement park measures 16m in diameter. the wheel does 3 rotations every minute. the bottom of the wheel is 1m above the ground... a) determine the simplest equation that models Megan's height above that ground(h) over time (t). give 2 more equations ...

### A physics question

I was researching amusement park rides for a recent project (from this site I have noticed that many others are in the same boat as me). Anywho, I am doing the Ferris wheel or the Giant Wheel, and I was wondering if this was right, with respect to potential energy: this is due...

### Math (IB Calc)

A ferris wheel has a diameter of 50 meters. If point A is at the lowest point of the ferris wheel, 0 meters. What is the height of point A if the wheel moves 2pi/3 radians clockwise? What is the equation?

### college trig word problem

A Ferris wheel has a radius of 25 feet.The wheel is rotating at two revolutions per minute.Find the linear speed, in feet per minute, of a seat on this ferris wheel.

### 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

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 ( 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?

### Physics

In order to stop a Ferris wheel, a force is applied that accelerates at a rate of -0.010rad/s^2. How long will it take the Ferris wheel to stop?

### physics

Please help with these problems. Thanks! Suppose the circumference of a bicycle wheel is 2 meters. If it rotates at 1 revolution per second when you are riding the bicycle, then your speed will be? Suppose you're on a Ferris wheel at a carnival, seated 10 m from the Ferris ...

### 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

Please help with these problems, I don't understand them. Thanks! Suppose the circumference of a bicycle wheel is 2 meters. If it rotates at 1 revolution per second when you are riding the bicycle, then your speed will be? Suppose you're on a Ferris wheel at a carnival, seated...

### 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?

### Physics

A Ferris wheel with radius 11.0 m rotates at a constant rate, completing one revolution every 33.9 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the magnitude and direction (in degrees below ...

### 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 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 ...

### Physics

A Ferris wheel with radius 9.8 m rotates at a constant rate, completing one revolution every 36.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the magnitude and direction of the passenger's ...

### Physics

A Ferris wheel with radius 9.8 m rotates at a constant rate, completing one revolution every 36.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the magnitude and direction of the passenger's ...

### 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?

### Pre Algebra

Tickets on the ferris wheel cost .50 cents. At least how many tickets were sold? There are 36 cars on the ferris wheel that holds 60 people per car. Suppose every ticket holder rode for two turns of the wheel. At least how many turns did the wheel have to make? I think it's ...

### 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 ...

### 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 ...

### 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 ...

### Physics

A Ferris wheel has a circumference of 93 m and it completes one rotation in 2.3 minutes without stopping. What is the percentage change in apparent weight (=weight difference/weight = W/W) of a passenger between the highest and the lowest positions on this Ferris wheel?

### 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 ...

### 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 ...

### 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 ...

### 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 ...

### 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

Billy is riding on a 20 meter diameter Ferris wheel that is making 3 revolutions per minute. What are your linear velocity and your angular velocity? If there are 8 equally spaced seats on the ferris wheel then what is the length of the arc between two adjacent seats?

### math-precalculus

A Ferris wheel is 50 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. How many minutes of the ride are spent ...

### Trig

A Ferris wheel is 40 meters in diameter and boarded from a platform that is 4 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 2 minutes. How many minutes of the ride are spent ...

### precalculus

A Ferris wheel is 10 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 4 minutes. How many minutes of the ride are spent ...

### physics

a 60kg man is on a steadily rotating Ferris wheel. the man is standing on a bathroom scale and the scale reads 45kg at the top of the wheel. take g=10m/s^2 (a) what does the scale read when the man is at the bottom of the wheel? (b)what does the scale read when the man is ...

### 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-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...

### 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.

### 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...

### Pre-Calculus

a ferris wheel is elevated 1 meter above ground. When car reaches the highest point of the Ferris wheel, it's altitude from ground level is 31 metres. How far away from the center, horizontally, is the car when it is at an altitude of 25 meters?

### Physics

A Ferris wheel, rotating initially at an angular speed of 0.500 rad/s, accelerates over a 7.00-s interval at a rate of 0.04 rad/s^2. What angular displacement does the Ferris wheel undergo in this 7-s interval?

### 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(Correction)

Use the given function values and trigonometric identities (including the relationship between a trigonometric function and its cofunction of a complementary angle) to find the indicated trigonometric functions. Sorry for the mistake. They are two separate functions and i need...

### 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 ...

### 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 ...

### 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 ...

### precalculus

A Ferris wheel has a radius of 35 feet, and is rotating at 5 revolutions per minute. Find the linear speed, in feet per minute, of a seat on the Ferris wheel.

### Math

1. What percent of people chose the Ferris wheel or the carousel as their favorite ride? Other 19% Ferris wheel 18% Carousel 25% Roller coaster 38% A. 25% B. 37% C. 43% < -- C? D. 56% 2. Two hundred people were surveyed about their favorite ride at an amusement park. The ...

### 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 ...