FIGURE 4.13Figure for Problems4-3 and 4-4.4-3 Shown in Fig. 4.13 is a vertical-walled storage tank with a cross-sectionalarea, A. For this problem, assume laminar flow in the outflow pipe, with a laminarresistance, R. The faucet provides an input flow rate of qu for 0 ≤ t < to, and zerootherwise.(a) After the faucet is turned off at t = fo. how long (as a function of systemparameters) will it take for 50%, 90%, and 100% of the water in the tankat & to run out?(b) Find h(t) for t≥ 0. Assume h(0) = 0.h(t)R₂

(a) Volume stored is calculated as: V=Net volume flow rate ×TimeA×h(t)=(q0-qout)th(t)=(q0-qout)tA…

FIGURE 4.13 Figure for Problems 4-3 and 4-4. 4-3 Shown in Fig. 4.13 is a vertical-walled storage tank with a cross-sectional area, A. For this problem, assume laminar flow in the outflow pipe, with a laminar resistance, R₂. The faucet provides an input flow rate of q, for 0 ≤t<. and zero otherwise. (a) After the faucet is turned off at t= fo. how long (as a function of system parameters) will it take for 50%, 90%, and 100% of the water in the tank at & to run out? (b) Find h(t) for t≥ 0. Assume (0) = 0. (1) R₂

FIGURE 4.13 Figure for Problems 4-3 and 4-4. 4-3 Shown in Fig. 4.13 is a vertical-walled storage tank with a cross-sectional area, A. For this problem, assume laminar flow in the outflow pipe, with a laminar resistance, R₂. The faucet provides an input flow rate of q, for 0 ≤t<. and zero otherwise. (a) After the faucet is turned off at t= fo. how long (as a function of system parameters) will it take for 50%, 90%, and 100% of the water in the tank at & to run out? (b) Find h(t) for t≥ 0. Assume (0) = 0. (1) R₂

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

FIGURE 4.13
Figure for Problems
4-3 and 4-4.
4-3 Shown in Fig. 4.13 is a vertical-walled storage tank with a cross-sectional
area, A. For this problem, assume laminar flow in the outflow pipe, with a laminar
resistance, R. The faucet provides an input flow rate of qu for 0 ≤ t < to, and zero
otherwise.
(a) After the faucet is turned off at t = fo. how long (as a function of system
parameters) will it take for 50%, 90%, and 100% of the water in the tank
at & to run out?
(b) Find h(t) for t≥ 0. Assume h(0) = 0.
h(t)
R₂

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Hi, I unfortunately cant see the full explanation, is there any way the writing could be condensed to show all of it on the screen?
Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of Ao and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross- sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. a) Find an expression for Q2 b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the other flow rates, areas and angles c) Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles Q₁ 0₁ A₁ le Ao 10₂ A₂ 22 Figure Q2: Fluid entering a vanes and exiting in 2 directions.
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