A common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 542 mph at a cruising altitude of 25500 ft. The windows on a jet plane measure 14.0 in x 14.0 in. Calculate the force F exerted on such a window as the plane flies at 25500 ft above the sea level. Assume the density and pressure of air at 25500 ft are 0.562 kg/m³ and 382 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm.

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Chapter1: Units, Trigonometry. And Vectors
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A common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to
determine whether this is possible. According to the hosts' experiment, such an event cannot happen.
Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to
test the myth. A typical jet plane travels at 542 mph at a cruising altitude of 25500 ft. The windows on a jet plane measure
14.0 in x 14.0 in. Calculate the force F exerted on such a window as the plane flies at 25500 ft above the sea level. Assume the
density and pressure of air at 25500 ft are 0.562 kg/m³ and 382 mbar, respectively, but that the interior of the plane remains
pressurized to atmospheric pressure, 1 atm.
F =
lb
Calculate the fractional difference between this force and the weight wman of a typical adult male (185 lb).
F
Wman
How would you respond to Adam and Jaime?
There is no need to perform the experiment; it is impossible for a person to be sucked out of a plane.
O My calculation does not prove that such an event cannot happen; you will need to perform the experiment.
Transcribed Image Text:A common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 542 mph at a cruising altitude of 25500 ft. The windows on a jet plane measure 14.0 in x 14.0 in. Calculate the force F exerted on such a window as the plane flies at 25500 ft above the sea level. Assume the density and pressure of air at 25500 ft are 0.562 kg/m³ and 382 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm. F = lb Calculate the fractional difference between this force and the weight wman of a typical adult male (185 lb). F Wman How would you respond to Adam and Jaime? There is no need to perform the experiment; it is impossible for a person to be sucked out of a plane. O My calculation does not prove that such an event cannot happen; you will need to perform the experiment.
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