Centripetal acceleration and ferris wheel

The centripetal force is the force that provides the centripetal acceleration for people at the top of the Ferris wheel as it rotates. It is different from gravity and normal force. The direction of the centripetal force is towards the center of the wheel, while the direction of gravity is towards the ground and the direction of the normal force is perpendicular to the surface. The normal force cannot supply the centripetal force.
  • #1
ProBasket
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A Ferris wheel consits of a giant wheel that rotates slowly in a vertical plane. people sit upright in chairs ont he ferris wheel. The type of force that provies the centripetal acceleration for the people at the top of the wheel as it rotates is called:

A.) gravity or B.) normal

i'm thinking it would be the normal force, am i correct?
 
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  • #2
ProBasket said:
A Ferris wheel consits of a giant wheel that rotates slowly in a vertical plane. people sit upright in chairs ont he ferris wheel. The type of force that provies the centripetal acceleration for the people at the top of the wheel as it rotates is called:

A.) gravity or B.) normal

i'm thinking it would be the normal force, am i correct?
What is the direction of the centripetal force? What is the direction of gravity? What is the direction of the normal force (ie. the force that keeps the chair from falling)? Can the normal force supply the centripetal force?

AM
 
  • #3


Yes, you are correct. The normal force is the force exerted by the seat on the person sitting in it. In this case, the normal force is providing the centripetal acceleration for the person at the top of the wheel as it rotates. Gravity is also present, but it is not the force responsible for the centripetal acceleration in this scenario.
 

Related to Centripetal acceleration and ferris wheel

1. What is centripetal acceleration and how does it relate to a ferris wheel?

Centripetal acceleration is the acceleration that an object experiences when moving in a circular path. This acceleration is always directed towards the center of the circle and is necessary to keep the object moving in a circular path. In the case of a ferris wheel, the centripetal acceleration is responsible for keeping the riders moving in a circular path along the perimeter of the wheel.

2. How is centripetal acceleration calculated for a ferris wheel?

The formula for calculating centripetal acceleration is a = v^2 / r, where v is the linear velocity of the object and r is the radius of the circular path. For a ferris wheel, the linear velocity can be calculated by dividing the circumference of the wheel by the time it takes for one revolution. The radius can be measured from the center of the wheel to the location of the rider.

3. Is centripetal acceleration the same for all riders on a ferris wheel?

No, the centripetal acceleration experienced by each rider on a ferris wheel can vary depending on their distance from the center of the wheel. Riders closer to the center will have a smaller radius and therefore a smaller centripetal acceleration compared to those on the outer edge of the wheel.

4. How does the speed of a ferris wheel affect the centripetal acceleration experienced by riders?

The speed of the ferris wheel directly affects the linear velocity of the riders, which in turn affects the centripetal acceleration they experience. As the speed increases, the linear velocity and centripetal acceleration also increase. This means that riders will feel a stronger force pulling them towards the center of the wheel.

5. Can a ferris wheel experience a change in centripetal acceleration while in motion?

Yes, the centripetal acceleration can change while a ferris wheel is in motion. This can happen if the speed of the wheel changes or if the radius of the circular path changes. For example, if the ferris wheel slows down, the linear velocity and centripetal acceleration will decrease, resulting in a less intense force on the riders. Similarly, if the radius of the wheel changes, the centripetal acceleration will also change.

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