Circular motion-roller coaster

  • Thread starter Shad94
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In summary, a passenger on a roller coaster at an amusement park experiences a force equal to 3 times their weight as they go through a dip with a radius of 25m. The net force acting on the passenger is equal to N-mg, where N is equal to 3 times the weight. The roller coaster is traveling at a speed of 27.12m/s at the bottom of the dip. However, the solution provided is incorrect because it only considers one of the forces acting on the passenger. The other force must also be taken into account before applying Newton's laws.
  • #1
Shad94
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Homework Statement



A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to 3.0 times her weight as she goes through the dip.If r=25m, how fast is the roller coaster traveling at the bottom of the dip?

The Attempt at a Solution



F=mv*2/r
3Mg=mv*2/r
3g=v*2/25
V=27.12ms-1
Is this the correct solution?
 
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  • #2
No, you must look at the net force acting on the passenger before applying Newton's laws. You only looked at one of the forces. What is the other?
 
  • #3
PhanthomJay said:
No, you must look at the net force acting on the passenger before applying Newton's laws. You only looked at one of the forces. What is the other?
But, isn't the magnitude of the force is equal to 3 times of the weight...where w is equal to mg
( base on the question)
 
  • #4
the question does say that the force due to the seat is 3 times her weight. But she does have another force on her (as Phanthomjay said).
 
  • #5
So, the net force is N-mg...where N(upward force) is equal to 3 times of mg(weight)...?
 
  • #6
Yes...
 
  • #7
Thanks...
 

1. What is circular motion in the context of a roller coaster?

Circular motion refers to the movement of an object along a circular path, where its speed and direction are constantly changing. In a roller coaster, this is achieved through the use of loops, curves, and turns.

2. How does circular motion affect the riders of a roller coaster?

Circular motion causes the riders to experience a sensation of weightlessness or "g-forces". This is because as the roller coaster car moves along the circular path, it is constantly changing direction, causing the riders to feel a force pushing them in different directions.

3. What factors influence the circular motion of a roller coaster?

The speed of the roller coaster, the radius of the circular path, and the mass of the roller coaster car all influence the circular motion. The greater the speed and radius, the stronger the g-forces experienced by the riders.

4. How is circular motion achieved in a roller coaster?

Circular motion is achieved through a combination of gravity and centripetal force. Gravity pulls the roller coaster car towards the ground, while the track provides a centripetal force that keeps the car moving along the circular path.

5. Are there any safety concerns with circular motion in roller coasters?

Yes, safety is a top priority in the design and operation of roller coasters. The g-forces experienced by riders must be carefully calculated and controlled to ensure a safe and enjoyable experience. Additionally, safety restraints and design features, such as banked turns, are used to prevent accidents and keep riders safe.

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