Problem 4 - Fluids, lift-force, and Stevin's law. (a) An airplane has a total wing area A = 500 m². As the airplane moves, the average air speed just above the wings, Vtop, is twice as large as the average air speed just below the wings, Vbot. If the total mass of the airplane, cargo and passengers included, is mtot 3x105 kg, estimate (one significant digit) the airplane speed v = (Vtop+ Voot)/2 at take-off from sea level. (b) Using Stevin's law in the atmosphere, and assuming that air density is proportional to air pressure, estimate (one significant digit) the speed that the airplane must maintain when flying at an altitude h=7800 m. (c) Assuming that the maximum speed that the plane can reach is Vmax = 1200 km/h, estimate the maximum altitude that the plane can reach. In (b) and (c), assume that the total mass and other = parameters the same as in (a). (Hint: use air density = 1.3 kg/m³ at sea level, In(2) ≈ 0.7 and √√e = eo= 1.6).

Problem 4 - Fluids, lift-force, and Stevin's law. (a) An airplane has a total wing area A = 500 m². As the airplane moves, the average air speed just above the wings, Vtop, is twice as large as the average air speed just below the wings, Vbot. If the total mass of the airplane, cargo and passengers included, is mtot 3x105 kg, estimate (one significant digit) the airplane speed v = (Vtop+ Voot)/2 at take-off from sea level. (b) Using Stevin's law in the atmosphere, and assuming that air density is proportional to air pressure, estimate (one significant digit) the speed that the airplane must maintain when flying at an altitude h=7800 m. (c) Assuming that the maximum speed that the plane can reach is Vmax = 1200 km/h, estimate the maximum altitude that the plane can reach. In (b) and (c), assume that the total mass and other = parameters the same as in (a). (Hint: use air density = 1.3 kg/m³ at sea level, In(2) ≈ 0.7 and √√e = eo= 1.6).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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