Centripetal acceleration A jet flies in a vertical circle

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Homework Help Overview

The discussion revolves around a physics problem involving centripetal acceleration as a pilot performs a loop-the-loop in a jet. The scenario includes specific values for the pilot's mass, the jet's speed, and the radius of the loop, with a focus on determining the apparent weight experienced by the pilot at different points in the loop.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the forces acting on the pilot at the bottom and top of the loop, including gravitational and centripetal forces. Some participants question the correct approach to combining these forces, particularly regarding their directions.

Discussion Status

Participants are actively discussing the relationship between the centripetal force and gravitational force, with some guidance offered on considering the direction of the forces. There is an ongoing exploration of how to correctly add the forces to find the apparent weight at different points in the loop.

Contextual Notes

The problem is constrained by the specific values provided for mass, speed, and radius, and participants are working within these parameters to understand the forces involved.

hCornellier
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Homework Statement


A pilot, whose mass is 96.0 kg, makes a loop-the-loop in a fast jet. Assume that the jet maintains a constant speed of 225 m/s and that the radius of the loop-the-loop is 2.064 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?

What is the apparent weight felt at the top of the loop-the-loop?

Homework Equations


ac = v^2/r

The Attempt at a Solution


I've tried finding a solution for the bottom, but have yet to find it. I solved for Fg, (96kg*9.81m/s/s), then I found the centripetal force (point towards center of circle) to be equal to 2354.65N. I read that n-mg=ac?
 
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you have the correct magnitudes for centripetal and gravitational force. you need to think about the direction of the force vectors and add them.
 
So the force exerted on the chair is equal to the centripetal force - Fg?
 
the vector for centripetal force always points towards the center and gravity points down, so add the vectors appropriately
 

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