Kindly solve the color red underlined and boxed given. Provide a complete solution of h2 = 0 gives t= 43.1 min A 4-ft-high, 3-ft-diameter cylindrical water tank whose top is open to theatmosphere is initially filled with water. Now the discharge plug near thebottom of the tank is pulled out, and a water jet whose diameter is 0.5 instreams out (Fig. 5-13). The average velocity of the jet is approximated asV = V2gh, where h is the height of water in the tank measured from thecenter of the hole (a variable) and g is the gravitational acceleration. Deter-mine how long it takes for the water level in the tank to drop to 2 ft fromthe bottom.Analysis We take the volume occupied by water as the control volume. Thesize of the control volume decreases in this case as the water level drops,and thus this is a variable control volume. (We could also treat this as afixed control volume that consists of the interior volume of the tank by dis-regarding the air that replaces the space vacated by the water.) This is obvi-ously an unsteady-flow problem since the properties (such as the amount ofmass) within the control volume change with time.The conservation of mass relation for a control volume undergoing any pro-cess is given in rate form asmoutdmevdt(1)h+0hoh₂AirWatertankDja Integrating from t = 0 at which h = ho to t = t at which h = h₂ givesDankdhVhoVh₂Dit V2gVg/2Substituting, the time of discharge is determined to beCatdt =<->1=t=DankD.V4 ft- V2 ft (3 x 12 in)V32.2/2 ft/s²0.5 inTherefore, it takes 12.6 min after the discharge hole is unplugged for half ofthe tank to be emptied.= 757 s = 12.6 minDiscussion Using the same relation with h₂ = 0 gives t = 43.1/min for hthe discharge of the entire amount of water in the tank. Therefore, emptyingthe bottom half of the tank takes much longer than emptying the top half.This is due to the decrease in the average discharge velocity of water withdecreasing h.0hoh₂AirWaterDunk|Djat

Given:Height of the tank, h0=4 ftTank diameter, Dtank=3 fth2=0Jet diameter, Djet=0.5…

Discussion Using the same relation with h₂ 0 gives t 43.1 min for the discharge of the entire amount of water in the tank. Therefore, emptying the bottom half of the tank takes much longer than emptying the top half. This is due to the decrease in the average discharge velocity of water with decreasing h.

Discussion Using the same relation with h₂ 0 gives t 43.1 min for the discharge of the entire amount of water in the tank. Therefore, emptying the bottom half of the tank takes much longer than emptying the top half. This is due to the decrease in the average discharge velocity of water with decreasing h.

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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