The pilot of an airplane executes a constant-speed loop-the-loopmaneuver. His pa
ID: 1722343 • Letter: T
Question
The pilot of an airplane executes a constant-speed loop-the-loopmaneuver. His path is a vertical circle. The speed of the airplaneis 320 mi/h, and the radius of the circleis 1400 ft. (a) What is the pilot's apparent weight at thelowest point if his true weight is 160 lb?Enter anumber. 1 lb
(b) What is his apparent weight at the highest point?
Enter anumber. 2 lb
(c) Describe how the pilot could experience weightlessness if boththe radius and the speed can be varied. (Note: His apparent weight is equal to themagnitude of the force exerted by the seat on his body.)
3
(a) What is the pilot's apparent weight at thelowest point if his true weight is 160 lb?
Enter anumber. 1 lb
(b) What is his apparent weight at the highest point?
Enter anumber. 2 lb
(c) Describe how the pilot could experience weightlessness if boththe radius and the speed can be varied. (Note: His apparent weight is equal to themagnitude of the force exerted by the seat on his body.)
3 Enter anumber. Enter anumber.
Explanation / Answer
The speed of the airplane v = 320 mi/h= 320 * 1609 m / 3600 s =143 m / s The radius of the circle r = 1400 ft. = 1400 * 0.304 m = 425.6 m (a)true weight W = mg = 160 lb = 160 *4.448 N =711.68 N mass m = 711.68 / g = 711.68 / 9.8 =72.62 kg the pilot's apparent weight at the lowestpoint = mg + mv ^ 2 / r = 711.68 + 3489.2 =4200.88 N = 4200.88 / 4.448 lb = 944.4 lb
(b) His apparent weight at the highest point = - mv^ 2 /r +mg =- 3498.2+711.68 =-2786.52 N = -2786.52 / 4.448 lb = - 626.46 lb
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