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Unformatted text preview: Muraj, Hamza – Homework 13 – Due: Feb 22 2006, 4:00 am – Inst: Florin 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 2) 10 points Note: The pilot’s apparent weight is the force that the seat exerts on his body. The acceleration of gravity is 32 ft / s 2 . The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical plane. The speed of the airplane is 234 mi / h, and the radius of the circle is 1077 ft. What is the pilot’s apparent weight at the lowest point if his true weight is 187 lb? Correct answer: 826 . 102 lb. Explanation: Given : g = 32 ft / s 2 , W = 187 lb , and v = 234 mi / h = 234 mi 1 h 1 h 3600 s 5280 ft 1 mi = 343 . 2 ft / s . At the lowest point the apparent weight acts up and the true weight acts down, so F c = W b- W W b = W + W v 2 g r = 187 lb + (187 lb)(343 . 2 ft / s) 2 (32 ft / s 2 )(1077 ft) = 826 . 102 lb , if the real weight is W . 002 (part 2 of 2) 10 points Note: If the force is negative, the seat-belt must be used to hold the pilot in his seat. What is his apparent weight at the highest point? Correct answer: 452 . 102 lb. Explanation: At the highest point the apparent weight and the true weight act down, so F c = W b + W W b = F c- W = W v 2 g r- W = (187 lb)(343 . 2 ft / s) 2 (32 ft / s 2 )(1077 ft)- 187 lb = 452 . 102 lb ....
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This note was uploaded on 04/12/2010 for the course PHY 58195 taught by Professor Turner during the Spring '09 term at University of Texas.
- Spring '09