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

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In summary, passengers in the amusement park ride The Roundup experience a force of 757.12N at the top of the ride due to the centripetal force, which is calculated using the formula F=mv^2/r. The ring rotates once every 4.80s and has a diameter of 17.0m. The rider's mass is 52.0kg. The rider also experiences a normal force and the force of gravity, with the normal force being the resultant force at the top of the ride. To find the normal force, the equation n+Fg=Fr can be used.
  • #1
ZzZerozZ
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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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  • #2
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?
 
  • #3
n and Fg pointing downwards?
 
  • #4
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.
 
  • #5
OO.. yea thanks a lot :D
 

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

What is "The Roundup Ride"?

"The Roundup Ride" is a thrilling amusement park ride that simulates the experience of being on a rotating spaceship. It spins at a speed of 14.56m/s^2, giving riders the feeling of experiencing 1.5 G-forces.

How does "The Roundup Ride" work?

The ride consists of a circular platform that rotates around a central axis. The platform is tilted at a 45-degree angle, causing riders to feel a sensation of being lifted off the ground as it spins. This creates a centrifugal force that gives riders the feeling of being in a spaceship.

Is "The Roundup Ride" safe?

Yes, "The Roundup Ride" is designed with safety as the top priority. It undergoes regular maintenance and inspections to ensure that all mechanical and electrical components are functioning properly. Additionally, riders are required to follow safety guidelines and wear seatbelts during the ride.

What is the recommended age/height for riding "The Roundup Ride"?

The recommended age for riding "The Roundup Ride" is 10 years and above. Riders should also be at least 48 inches tall to ensure that they are able to safely sit in the ride's seats and follow the safety guidelines.

Are there any health restrictions for riding "The Roundup Ride"?

Yes, there are some health restrictions for riding "The Roundup Ride". Pregnant women, individuals with heart conditions, and those with back or neck injuries are advised not to ride. Additionally, riders should be in good physical condition and free from any other health concerns that could be aggravated by the ride's motion.

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