Centripetal Force (Loop the Loop)

In summary, centripetal force is the force that keeps an object moving in a circular path and counteracts the centrifugal force that would cause it to fly off in a straight line. In a loop the loop, centripetal force is provided by the normal force exerted by the track and is affected by the speed, radius, and mass of the object. If there is not enough centripetal force, the object will not be able to maintain a circular path and may crash or fall off the track. It is possible for centripetal force to be greater than the weight of the object in a loop the loop, as the normal force from the track can exceed the weight of the object.
  • #1
Kajayacht
29
0

Homework Statement


A pilot, whose mass is 78.0 kg, makes a loop-the-loop in a fast jet. Assume that the jet maintains a constant speed of 105 m/s and that the radius of the loop-the-loop is 0.562 km. What is the apparent weight that the pilot feels (i.e., the force with which the pilot presses against the seat) at the bottom of the loop-the-loop?


Homework Equations


F = m(V^2/R)


The Attempt at a Solution



F = 78 (105^2/562)
F = 1530.2 N
 
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  • #2
nevermind
n = m(g + v^2/R)
 
  • #3


The apparent weight that the pilot feels at the bottom of the loop-the-loop is 1530.2 N. This is due to the centripetal force acting on the pilot, which is equal to the pilot's mass multiplied by the square of the velocity divided by the radius of the loop. In this case, the force is directed towards the center of the loop, keeping the pilot in circular motion. The pilot's apparent weight is greater at the bottom of the loop because at this point, the centripetal force is at its maximum, leading to a stronger force pressing the pilot against the seat.
 

Related to Centripetal Force (Loop the Loop)

What is centripetal force?

Centripetal force is the force that is required to keep an object moving in a circular path. It acts towards the center of the circle and is necessary to counteract the centrifugal force that would otherwise cause the object to fly off in a straight line.

How does centripetal force work in a loop the loop?

In a loop the loop, centripetal force is provided by the normal force exerted by the track on the object as it moves along the circular path. This normal force acts in the opposite direction to the object's weight, providing the necessary centripetal force to keep it moving in a circular path.

What factors affect the amount of centripetal force needed for a successful loop the loop?

The speed of the object, the radius of the loop, and the mass of the object all affect the amount of centripetal force needed for a successful loop the loop. The greater the speed, the smaller the radius, and the greater the mass, the more centripetal force is required.

What happens if there is not enough centripetal force in a loop the loop?

If there is not enough centripetal force in a loop the loop, the object will not be able to maintain a circular path and will fly off in a straight line. This could result in the object crashing or falling off the track.

Can centripetal force be greater than the weight of the object in a loop the loop?

Yes, it is possible for centripetal force to be greater than the weight of the object in a loop the loop. This is because the normal force provided by the track can be greater than the weight of the object, resulting in a greater centripetal force and allowing the object to successfully complete the loop.

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