3. Air is flowing down a circular duct as shown in the figure. At station 1 the velocity is V₁ and theduct diameter is D₁. The duct gradually enlarges to station 2, where the air exits to the atmosphere,and the diameter is D₂. A conical centerbody with a cone angle of 30° is inserted into the ductexit. The diameter of the cone base is d. You may assume that the velocity is low enough that p =constant.control surfaceV₂10 = 30°V₂FFigure for problem 3.(a) Find an expression for the gauge pressure at station 1 in terms of V₁, D₁, D₂, d, e, and p.What assumptions do you have to make to solve this problem?(b) What is the force, F, required to hold the cone in place? You may ignore the weight of thecone. Use the following values: V₁ = 20 m/s, D₁ = 30 cm, D₂ = 60 cm, and d = 58 cm. Youmay assume that the air density is at standard conditions, p = 1.225 kg/m².

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Description: 3. Air is flowing down a circular duct as shown in the figure. At station 1 the velocity is V₁ and theduct diameter is D₁. The duct gradually enlarges to station 2, where the air exits to the atmosphere,and the diameter is D₂. A conical centerbody w

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Find an expression for the gauge pressure at station 1 in terms of V₁, D₁, D2, d, e, and p. What assumptions do you have to make to solve this problem? What is the force, F, required to hold the cone in place? You may ignore the weight of the cone. Use the following values: V₁ = 20 m/s, D₁ = 30 cm, D₂ = 60 cm, and d = 58 cm. You may assume that the air density is at standard conditions, p = 1.225 kg/m³.

Find an expression for the gauge pressure at station 1 in terms of V₁, D₁, D2, d, e, and p. What assumptions do you have to make to solve this problem? What is the force, F, required to hold the cone in place? You may ignore the weight of the cone. Use the following values: V₁ = 20 m/s, D₁ = 30 cm, D₂ = 60 cm, and d = 58 cm. You may assume that the air density is at standard conditions, p = 1.225 kg/m³.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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