Question

PrintCalculator Question 24 of 27 MapA A common belief is that a hole in a jet plane can suck a person out. On an episode of the popular TV the hostif papeniment, sutch anevend canmat happ.hey bustear the myth sibe.Angto the hosts' experiment, such an event cannot happen (that is, they busted the myth But did they need to perform the experiment? As a science advisor to the show, Adam and Jaime ask you to perform a crude calculation to test the myth. A of 32500 ft. The windows on a jet plane measure 14.0 in x 14.0 in. Calculate the force exerted on such a window as the plane flies at 3 32500 feet is 0.410 kg/m3 and 259 mbar but the interior of the plane remains pressurized to atmospheric pressure, that is. 1 atm.) jet plane travels at 542 mph at a cruising altitude ft. above the sea level. (Assum e the density and pressure of air at lb Calculate the fractional difference between this force and the weight Wn of a typical adult male (185 b) How would you respond to Adam and Jaime? is no need to the impossible for a person to be sucked out of a plane háppen; you will need to perform the experiment.

Answer 1

Convert all the variable into S.1 unit v = (542 mph) (0.44704 m/s/1 mph) = 242.29 m/s side of window is s = (14.0) (0.0254 m/1 m) = 0.3556m pressure at 32500 ft is p_0 = 259 bar = 2.5900 pa calculate the difference b/w inside and outside of the plane as follows: - delta p = 1/2 rho v^2 + (p_a - p_o) = 1/2 (0.410)(242.29) + (101.25 pa - 25.900) = 49.66 + 75425 = 75,474.66 Now the net force on the window is f = delta PA = (75,474)(0.3556 \r\n 26838.55 lb the mass of the male person is m = 185 lb = 83.914 kg the weight of the person is W: mg = (83.914)(9.8 m/s^2) = 822.36N Thus f/W_m = 26838.55/185 = 145.07