Multiple Circle Rotations

[omnizzle]

I have a project in Pre-calculus that I'm not really sure how to do. Our class recently attended Physics Fun Day at FunTown USA. We were each assigned a ride and a set of questions associated with the question. We had a ride called the casino. We figured out how the ride works, and answered most of our questions, but we cannot figure out the last problem. How the ride works: The ride spins in a circular fashion, but during this, the angled can be manipulated by a hydrolic lift of a sort. also, the hydrolic lift rotates ( I forget if it is with or against the spinning device, but I can figure that out tomorrow when I go to school she has a video) so that the angle can be switched from sides to sides. Our problem we have to do is show how a standard sin cos or tan curve is effected by the other movements of the ride. Our teacher isn't very intelligent, so she doesn't really even know the answer, so I need help. There is a picture of the ride on their website

http://www.funtownsplashtownusa.com/index.cfm?fuseaction=Page.Index&itemid=4

It is the second picture down.

Thank you for your time and I'm sure there will be something I left out so just ask :P thank you again.

 

[LightHero]

This is a difficult problem to solve without more information. It would help if you had an equation that describes the motion of the ride, or at least some data that shows how the angle changes over time. Without any of this, it's hard to see how you could draw a sin/cos/tan curve to represent the motion of the ride. If your teacher is unable to provide you with the necessary information, then it might be worth asking her for guidance on how to approach this problem. There may be other ways to look at the motion of the ride that don't involve sin/cos/tan curves. For example, you could try to describe the motion of the ride in terms of linear motion (speed and acceleration) or angular motion (angular velocity and angular acceleration). You could also look at the way the ride affects the riders by looking at the forces they are subjected to during the ride. I hope this helps. Good luck with your project!

 

[Architeuthis Dux]

Hello,

It sounds like you have an interesting project in pre-calculus! The ride you were assigned, the Casino, uses multiple circle rotations to create its unique motion. From the picture on the website, it looks like the ride rotates in a circular motion while also tilting from side to side. This is likely achieved using a hydraulic lift, as you mentioned.

To understand how this affects a standard sin, cos, or tan curve, we first need to understand how these functions are typically graphed. As you may already know, these functions represent the relationship between the angle of rotation and the corresponding x and y coordinates on a circle. When graphed, these functions create a smooth, periodic curve.

Now, let's consider how the multiple circle rotations on the Casino ride may affect this curve. The circular motion of the ride will still produce a standard sin, cos, or tan curve, but the additional tilting or rotation of the hydraulic lift will introduce variations to this curve. For example, if the hydraulic lift is rotating in the same direction as the circular motion of the ride, it may stretch or compress the curve, depending on the speed and angle of rotation. If the hydraulic lift is rotating in the opposite direction, it may shift the curve to one side or the other.

To accurately show how the multiple circle rotations affect the standard sin, cos, or tan curve, you will need to consider the speed and direction of both the circular motion and the hydraulic lift rotation, as well as the angle of the lift at any given time. You may also want to consider the relationship between the circular motion and the tilt of the ride, and how this affects the curve.

I hope this helps you get started on your project. It may be helpful to gather more information and possibly even observe the ride in person to fully understand how the multiple circle rotations affect the standard sin, cos, or tan curve. Good luck!