A jet of air having velocity V₁ and cross-sectional area A₁ strikes an inclined plate as shownin the figure. Neglect any effects of viscosity.V₁(a) Find V₂ and V3 in terms of V₁. Note that the pressure is patm everywhere.(b) Because viscous effects are negligible, there is no way for the air to exert a force on theplate in the tangential (z) direction. Using the coordinate system in the figure, find A₂and A3 in terms of A₁ and 0.(c) For V₁ = 50 m/s, A₁ = 5 x 10-4 m², and 0 = 60°, find the force required to hold theplate in place. Neglect the weight of the plate. Recall that pair = 1.225 kg/m³.

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A jet of air having velocity V₁ and cross-sectional area A₁ strikes an inclined plate as shown in the figure. Neglect any effects of viscosity.

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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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

A jet of air having velocity V₁ and cross-sectional area A₁ strikes an inclined plate as shown
in the figure. Neglect any effects of viscosity.
V₁
(a) Find V₂ and V3 in terms of V₁. Note that the pressure is patm everywhere.
(b) Because viscous effects are negligible, there is no way for the air to exert a force on the
plate in the tangential (z) direction. Using the coordinate system in the figure, find A₂
and A3 in terms of A₁ and 0.
(c) For V₁ = 50 m/s, A₁ = 5 x 10-4 m², and 0 = 60°, find the force required to hold the
plate in place. Neglect the weight of the plate. Recall that pair = 1.225 kg/m³.

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