A tank with a concrete basin is shown in the figure and is filled with water to a height h.Openings to fill and drain the tank are located in the concrete basin (see figure).The volume of water in the tankdepends on the height h of water in the tank:= 144 ft² and w = 100 ft.wherehaseThe volumetric flow rate of the water draining from the tank also depends on the height h:√hwhere KDrain = 20.0 ft³/2/s.Assume water is incompressible with a density of 62.4 lbm/ft³.# =waterDrain=#base + wh²Drainwater(a) Develop a symbolic equation for dh/dt, the time rate-of-change ofthe water level in the tank when, Drain and h are all known.Fill(b) If the tank is initially empty but = 50 ft³/s and the drain is open,determine the steady-state height h of the liquid in the tank, in ft.(c) If the height of the water is h = 14 ft and only the drain is open, i.e.= 0, determine how long it will take, in seconds, for the tank todrain to h = 3 ft.HhFillDrain

The volume of the tank is Vwater=Vbase+wh2 Vbase=144 ft3, w=100 ft The flow rate of water…

A tank with a concrete basin is shown in the figure and is filled with water to a height h. Openings to fill and drain the tank are located in the concrete basin (see figure). The volume of water in the tank depends on the height h of water in the tank: K water = K + wh² base water where K = 144 ft² and w = 100 ft. base The volumetric flow rate of the water draining from the tank also depends on the height h: Drain KDrain √h where KDrain = 20.0 ft³/2/s. Assume water is incompressible with a density of 62.4 lbm/ft³. (a) Develop a symbolic equation for dh/dt, the time rate-of-change of the water level in the tank when #ill, Drain and h are all known. (b) If the tank is initially empty but = 50 ft³/s and the drain is open, determine the steady-state height h of the liquid in the tank, in ft. (c) If the height of the water is h = 14 ft and only the drain is open, i.e. = 0, determine how long it will take, in seconds, for the tank to drain to h = 3 ft. H h #Fill Drain

A tank with a concrete basin is shown in the figure and is filled with water to a height h. Openings to fill and drain the tank are located in the concrete basin (see figure). The volume of water in the tank depends on the height h of water in the tank: K water = K + wh² base water where K = 144 ft² and w = 100 ft. base The volumetric flow rate of the water draining from the tank also depends on the height h: Drain KDrain √h where KDrain = 20.0 ft³/2/s. Assume water is incompressible with a density of 62.4 lbm/ft³. (a) Develop a symbolic equation for dh/dt, the time rate-of-change of the water level in the tank when #ill, Drain and h are all known. (b) If the tank is initially empty but = 50 ft³/s and the drain is open, determine the steady-state height h of the liquid in the tank, in ft. (c) If the height of the water is h = 14 ft and only the drain is open, i.e. = 0, determine how long it will take, in seconds, for the tank to drain to h = 3 ft. H h #Fill Drain

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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