The Roundup Ride: Experience the Thrill of 14.56m/s^2!

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Homework Help Overview

The problem involves analyzing the forces acting on a rider in an amusement park ride called The Roundup, which features a rotating ring. The scenario includes calculating the force exerted by the ring on the rider at the top of the ride, given the ride's dimensions and the rider's mass.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the rider at the top of the ride, including the normal force and gravitational force. There is an attempt to clarify the relationship between these forces and the centripetal force required for circular motion.

Discussion Status

Some participants have provided guidance on identifying the forces involved and their directions. There is an acknowledgment of a misunderstanding regarding the calculation of the normal force, with suggestions to reconsider the equations used.

Contextual Notes

The original poster's calculations appear to be based on an incorrect interpretation of the forces at play, leading to confusion about the resultant force. The discussion highlights the need for clarity in understanding the forces acting on the rider.

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Homework Statement



In an amusement park ride called The Roundup, passengers stand inside a 17.0m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane.

Suppose the ring rotates once every 4.80s . If a rider's mass is 52.0kg , with how much force does the ring push on her at the top of the ride?

Homework Equations


1.v=2*pi*r/T
2.Fr=mg+n=Fnet=m*Ac=m*v^2/r

The Attempt at a Solution



What I do is T=4.80 m=52.0kg

v=formula#1=11.126m/s
Ac= formula#2=14.56m/s^2
Fr=m*Ac= 757,12N

The answer is wrong but I don't know why...
 
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The centripetal force, you are finding, is the resultant force on the rider. At the top of the ride, what are the forces acting and their directions?
 
n and Fg pointing downwards?
 
ZzZerozZ said:
n and Fg pointing downwards?

Right, I think the question wants you to find n. Your second equation n+Fg=Fr, find n.
 
OO.. yea thanks a lot :D
 

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