Write a function f(t) to express the height of the rider relative to the centre of the wheelat time t seconds after the ride starts.Write a second function g(t) to express the position of the end of the bar (the centre of the rider’s wheel) relative to the ground at time t seconds.Graph each of the two functions for a 2-min rideFind the derivative of f(t) and g(t). Based on the graphs, what is the maximum heightreached be the rider? When does this occur?Find the acceleration function for f(t) and g(t). Based on those derivative functions,what is the maximum vertical speed of the rider?Design your own double Ferris wheel. Determine the position function for rider on your wheel. What is the maximum speed experienced by your riders? Is there simple relationship between the dimensions of the Ferris wheel and the maximum heights or speeds experienced? TASKDouble Ferris WheelSome amusement parks have a double Ferris wheel, which consists of twovertically rotating wheels that are attached to each other by a bar that alsorotates. There are eight gondolas equally spaced on each wheel. Ridersexperience a combination of two circular motions that provide a sensationmore thrilling than the classic single Ferris wheel. In particular, ridersexperience the greatest sensation when their rate of change in height is thegreatest.. Each of the two wheels is 6 m indiameter and revolves every 12 s.• The rotating bar is 9 m long. Theends of the bar are attached to thecentres of the wheels.• The height from the ground tothe centre of the bar is 8 m. Thebar makes a complete revolutionevery 20 s.• A rider starts seated at thelowest position and movescounterclockwise.The bar starts in the verticalposition.Consider the height of a rider who begins the ride in the lowest car.a) Write a function f(t) that expresses the height of the rider relative to thecentre of the wheel at time t seconds after the ride starts. Write a secondfunction g (t) that expresses the position of the end of the bar (the centre ofthe rider's wheel) relative to the ground at time t seconds.b) Explain how the sum of these two functions gives the rider's height abovethe ground after t seconds.c) Use technology to graph the two functions and their sum for a 2-min ride.d) What is the maximum height reached by the rider? When does this occur?e) What is the maximum vertical speed of the rider? When does this occur?f) Design your own double Ferris wheel. Determine the position function fora rider on your wheel. What is the maximum speed experienced by yourriders? Is there a simple relationship between the dimensions of the Ferriswheel and the maximum heights or speeds experienced?

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Write a function f(t) to express the height of the rider relative to the centre of the wheel at time t seconds after the ride starts. Write a second function g(t) to express the position of the end of the bar (the centre of the rider’s wheel) relative to the ground at time t seconds. Graph each of the two functions for a 2-min ride Find the derivative of f(t) and g(t). Based on the graphs, what is the maximum height reached be the rider? When does this occur? Find the acceleration function for f(t) and g(t). Based on those derivative functions, what is the maximum vertical speed of the rider? Design your own double Ferris wheel. Determine the position function for rider on your wheel. What is the maximum speed experienced by your riders? Is there simple relationship between the dimensions of the Ferris wheel and the maximum heights or speeds experienced?

Write a function f(t) to express the height of the rider relative to the centre of the wheel at time t seconds after the ride starts. Write a second function g(t) to express the position of the end of the bar (the centre of the rider’s wheel) relative to the ground at time t seconds. Graph each of the two functions for a 2-min ride Find the derivative of f(t) and g(t). Based on the graphs, what is the maximum height reached be the rider? When does this occur? Find the acceleration function for f(t) and g(t). Based on those derivative functions, what is the maximum vertical speed of the rider? Design your own double Ferris wheel. Determine the position function for rider on your wheel. What is the maximum speed experienced by your riders? Is there simple relationship between the dimensions of the Ferris wheel and the maximum heights or speeds experienced?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.60P: The force P applied to the brake handle enables the band brake to reduce the angular speed of a...

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