The pilot of an airplane executes a loop-the-loop manuever ina vertical circle.

Question

The pilot of an airplane executes a loop-the-loop manuever ina vertical circle. The speed of the airplane is 300 mph at the topof the loop and 450 mph at the bottom of the loop. The radius ofthe circle is 1200ft. What is the pilots apparent weight at thelowest point if his true weight is 160lbs? Heres what I got. Avg speed is 375mph = 550 ft/s. n =mg(1+v^2/rg) and that equals 1420 lbs. Im not sure if I did thatright because im not sure if you use the avg speed of the wholeloop as the velocity. Thanks in advance. The pilot of an airplane executes a loop-the-loop manuever ina vertical circle. The speed of the airplane is 300 mph at the topof the loop and 450 mph at the bottom of the loop. The radius ofthe circle is 1200ft. What is the pilots apparent weight at thelowest point if his true weight is 160lbs? Heres what I got. Avg speed is 375mph = 550 ft/s. n =mg(1+v^2/rg) and that equals 1420 lbs. Im not sure if I did thatright because im not sure if you use the avg speed of the wholeloop as the velocity. Thanks in advance.

Explanation / Answer

The pilot of an airplane executes a loop-the-loop manuever ina vertical circle. The speed of the airplane is 300 mph at the topof the loop and 450 mph at the bottom of the loop. The radius ofthe circle is 1200ft. What is the pilots apparent weight at thelowest point if his true weight is 160lbs?
apparent weight=mg+mv*v/r=160+(160/32)*660*660/1200
here 450mph=660feet/sec

so apparent weight=1975lb
Here is what I got. Avg speed is 375mph = 550 ft/s. n =mg(1+v^2/rg) and that equals 1420 lbs. Im not sure if I did thatright because im not sure if you use the avg speed of the wholeloop as the velocity. Thanks in advance.

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