Solving the Mystery of Drop Out Ride: Find Rev/s Needed for Floor Drop Out

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Homework Help Overview

The problem involves a ride called Drop Out, where riders are subjected to centripetal forces while spinning in horizontal circles. The goal is to determine the necessary revolutions per second for the ride to operate safely before the floor drops out, given a specific radius and coefficient of static friction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between centripetal acceleration, velocity, and the forces acting on the riders. There is an exploration of how to express velocity in terms of angular velocity and the implications for calculating necessary conditions for the ride.

Discussion Status

The discussion is ongoing, with participants offering insights on how to relate centripetal acceleration to the forces involved. Some guidance has been provided regarding the use of equations, but no consensus has been reached on the specific steps to solve the problem.

Contextual Notes

Participants are navigating the challenge of expressing variables in terms of one another, particularly the relationship between linear velocity and angular velocity, while also considering the constraints of the problem setup.

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Homework Statement


In a ride called Drop Out, riders are spun in horizontal circles of radius 5.5m, which forces them to the outer wall. When they are spinning fast enough, the floor drops out, and they are suspended by friction. The coefficient of static friction is 0.28, how many rev/s must the ride achieve before the floor is allowed to drop out?


Homework Equations


a_{}c = rv^2


The Attempt at a Solution


I'm sort of lost for what to do, I have an FBD with G (down) and Friction (up), I also know the centripetal acceleration will be along the radius, towards the center of the circle, but I do not know how to solve this one.
Thanks in advance.
 
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No, a=v^2/r. If you know the centripetal acceleration, then you know the normal force. You then can relate the frictional force to the normal force, et voila. Please continue.
 
ok so...ac = v^2/5.5
v is unknown though, so we don't really know the centripetal acceleration?
 
You know the radius, and v can be expressed in terms of the angular velocity. Leave it unknown. That's what you want to solve for.
 

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