Centripetal Force in Loop-the-Loop Maneuvers: Ranking Normal Forces on a Pilot

In summary, a pilot performing a loop-the-loop maneuver experiences two forces - gravity and the normal force of the seat. The largest normal force is at the bottom of the loop when the pilot is right side up, followed by the normal force when ascending vertically into the loop, and the smallest normal force when the pilot is upside down at the top of the loop. The only equations involved are the concepts of gravity and centripetal force. Drawing diagrams can help to understand this concept.
  • #1
kax0r
2
0

Homework Statement


A pilot flies a loop-the-loop maneuver at constant speed. Two forces act on the pilot- the force due to gravity and the normal force of the seat pressing on him. Rank the largest to smallest normal forces on the pilot when [a. he is at the bottom of the loop right side up] [b. he is ascending vertically into the loop] or [c. he is upside down at the top of the loop]


Homework Equations


Doesn't look like there's any math involved.


The Attempt at a Solution


I don't really understand the concept, so an explanation would be awesome.
 
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  • #2
Not much maths involved.
You have the essential point ... there are only 2 forces acting on the pilot... the vertically downward force of gravity (his weight) and the upward force of the seat on the pilot.
Can you draw diagrams showing these forces at the points described in the question... that will solve it for you.
The RESULTANT of these 2 forces is the centripetal force on the pilot.
 

1. What is centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. It is always directed towards the center of the circle and is responsible for continuously changing the direction of motion of the object.

2. How is centripetal force calculated?

Centripetal force can be calculated using the formula Fc = mv²/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circle.

3. What are some examples of centripetal force in everyday life?

Some examples of centripetal force in everyday life include a car turning a corner, a rollercoaster loop, a satellite orbiting around the Earth, and a washing machine spinning clothes.

4. What is the difference between centripetal force and centrifugal force?

The difference between centripetal force and centrifugal force is that centripetal force is an inward force that keeps an object moving in a circular path, while centrifugal force is an outward apparent force that appears to push an object away from the center of rotation.

5. How does centripetal force relate to Newton's laws of motion?

Centripetal force relates to Newton's laws of motion as it is a result of Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In the case of centripetal force, the acceleration is towards the center of rotation, resulting in circular motion.

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