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tification and explanation for a classmate who has not worked on the exercise to understand your solution. Exercise 1. [ on an airplane cruising at 400 km/hr in standard air (atmospheric pressure) using a scaled 1: 10 down model (geometrical dimensions of the model are 0.1 of that of the prototype). Let the air speed in the wind tunnel be 400 km/hr as well. Assuming the same air temperature for the model and prototype, determine the required pressure in the tunnel, and the drag on the prototype corresponding to 1 N on the model. We wish to use the Buckingham ↑ theorem to estimate the drag force Hints: (i) The drag force, F, is expected to depend on the following parameters: V (wind speed), u (viscosity), p (density), l (length of the airplane), and w (wing span of the airplane). (ii) Assume that the air viscosity does not depend on the air pressure. (iii) Use Ideal Gas Law pMW = pRT to relate the air density to pressure. (p: pressure, universal gas constant, MW: molecular weight of air, T: absolute temperature) R:

tification and explanation for a classmate who has not worked on the exercise to understand your solution. Exercise 1. [ on an airplane cruising at 400 km/hr in standard air (atmospheric pressure) using a scaled 1: 10 down model (geometrical dimensions of the model are 0.1 of that of the prototype). Let the air speed in the wind tunnel be 400 km/hr as well. Assuming the same air temperature for the model and prototype, determine the required pressure in the tunnel, and the drag on the prototype corresponding to 1 N on the model. We wish to use the Buckingham ↑ theorem to estimate the drag force Hints: (i) The drag force, F, is expected to depend on the following parameters: V (wind speed), u (viscosity), p (density), l (length of the airplane), and w (wing span of the airplane). (ii) Assume that the air viscosity does not depend on the air pressure. (iii) Use Ideal Gas Law pMW = pRT to relate the air density to pressure. (p: pressure, universal gas constant, MW: molecular weight of air, T: absolute temperature) R:

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please give complete, well-written solutions to the following exercise. Provide sufficient jus- tification and explanation for a classmate who has not worked on the exercise to understand your solution. Exercise 1. i on an airplane cruising at 400 km/hr in standard air (atmospheric pressure) using a scaled 1: 10 down model (geometrical dimensions of the model are 0.1 of that of the prototype). Let the air speed in the wind tunnel be 400 km/hr as well. Assuming the same air temperature for the model and prototype, determine the required pressure in the tunnel, and the drag on the prototype corresponding to 1 N on the model. We wish to use the Buckingham 7 theorem to estimate the drag force Hints: (i) The drag force, F, is expected to depend on the following parameters: V (wind speed), u (viscosity), p (density), e (length of the airplane), and w (wing span of the airplane). (ii) Assume that the air viscosity does not depend on the air pressure. (iii) Use Ideal Gas Law pMW = pRT to relate the air density to pressure. (p: pressure, R: universal gas constant, MW: molecular weight of air, T: absolute temperature)
Transcribed Image Text:Please give complete, well-written solutions to the following exercise. Provide sufficient jus- tification and explanation for a classmate who has not worked on the exercise to understand your solution. Exercise 1. i on an airplane cruising at 400 km/hr in standard air (atmospheric pressure) using a scaled 1: 10 down model (geometrical dimensions of the model are 0.1 of that of the prototype). Let the air speed in the wind tunnel be 400 km/hr as well. Assuming the same air temperature for the model and prototype, determine the required pressure in the tunnel, and the drag on the prototype corresponding to 1 N on the model. We wish to use the Buckingham 7 theorem to estimate the drag force Hints: (i) The drag force, F, is expected to depend on the following parameters: V (wind speed), u (viscosity), p (density), e (length of the airplane), and w (wing span of the airplane). (ii) Assume that the air viscosity does not depend on the air pressure. (iii) Use Ideal Gas Law pMW = pRT to relate the air density to pressure. (p: pressure, R: universal gas constant, MW: molecular weight of air, T: absolute temperature)
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