Velocity of Roller Coaster at Top of Loop - Find the Answer!

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In summary, the velocity of a roller coaster at the top of a loop can range from 0 to 60 miles per hour and is calculated using the conservation of energy principle. It can vary for different roller coasters and can result in different experiences for riders. If the velocity is too high, it can cause discomfort and injuries, which is why roller coasters are carefully designed. The velocity at the top of a loop is not controlled by the operator, but they can control the overall speed and movement of the roller coaster.
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hinamori88
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Homework Statement


The radius of curvature of a loop-to-loop roller coaster is 12 m. At the top of the loop, the force the force that the seat exerts on a passenger of mass m is 0.4 mg. Find the speed of the roller coaster at the top of the loop.


Homework Equations


ƩF = Fnet = ma
ac = v2/r
Fg = mg


The Attempt at a Solution


??
 
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  • #2
What are the forces acting at the top of the loop? Form an equation for this.
 

Related to Velocity of Roller Coaster at Top of Loop - Find the Answer!

1. What is the velocity of a roller coaster at the top of a loop?

The velocity of a roller coaster at the top of a loop depends on various factors such as the height of the loop, the speed of the roller coaster at the bottom of the loop, and the forces acting on the roller coaster. However, on average, the velocity at the top of a loop can range from 0 to 60 miles per hour.

2. How is the velocity of a roller coaster at the top of a loop calculated?

The velocity of a roller coaster at the top of a loop can be calculated using the conservation of energy principle. This principle states that the total energy of a system remains constant. Therefore, the potential energy at the top of the loop is equal to the kinetic energy at the bottom of the loop. By using this equation, the velocity at the top of the loop can be calculated.

3. Can the velocity at the top of a loop be different for different roller coasters?

Yes, the velocity at the top of a loop can vary for different roller coasters. This is because each roller coaster has a different design, height, and speed. These factors can affect the velocity at the top of the loop and can result in a different experience for riders.

4. What happens if the velocity of a roller coaster at the top of a loop is too high?

If the velocity of a roller coaster at the top of a loop is too high, it can lead to a feeling of weightlessness or "airtime" for riders. However, if the velocity is too high, it can also cause discomfort, nausea, and even injuries. This is why roller coasters are carefully designed to maintain a safe and enjoyable velocity at the top of a loop.

5. Can the velocity at the top of a loop be controlled by the roller coaster operator?

No, the velocity at the top of a loop is not controlled by the roller coaster operator. It is determined by the design and physics of the roller coaster. However, the operator can control the overall speed and movement of the roller coaster throughout the ride to ensure a safe and enjoyable experience for riders.

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