If the jet is moving at a speed of 840 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.9 g's. Then calculate the 69-kg pilot's effective weight (the force with which the seat pushes up on him) at the bottom of the circle, and at the top of the circle (assume the same speed).

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.1P
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If the jet is moving at a speed of 840 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.9 g's.

Then calculate the 69-kg pilot's effective weight (the force with which the seat pushes up on him) at the bottom of the circle, and at the top of the circle (assume the same speed).

Expert Solution
Step 1

Given data:

Speed of the get (v) = 840 km/h

                                 =840*(5/18) m/s

                                = 233.33 m/s

Acceleration (a) = 6.9g

Need to determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.9 g's.

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