A woman is draining her fish tank by siphoning the water into an outdoor drain as shown in the figure below.The rectangular tank has footprint area A and depth h. The drain is located a distance d below the surface of the water in the tank, where d » h. The cross-sectional area of the siphon tube is A'.Model the water as flowing without friction. Show that the time interval required to empty the tank is given by the following expression. (Submit a file with a maximum size of 1 MB.)AhAt=A'√2gd

The area of the base of the rectangular tank is A and the height is hTherefore, the volume of the…

Answered: A woman is draining her fish tank by…

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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For the flow configuration shown, you are required to design a pump station to transfer water from the bottom tank to the upper tank. In your own words, explain the steps that are needed to be followed for the design of the pump system. Your answer should be typed and not more than one page. The pipe equivalent roughness is 1.5 mm. And a valve with a k=10 is located just upstream of the lower reservoir (other losses are negligible). Take p=1000 kg/m”, g = 9.81 m/s?, and u = 1.179 x 102 kg/m.s.
The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of the pool. The opening is about h = 1.05 m below the water level. The capacity of the pool is V = 3740 gallons, the pool can be drained in t = 10.2 mins. P0 is the pressure of the atmosphere. ρ is the density of the water. a. Write the Bernoulli’s equation of the water at the top of the pool in terms of P0, ρ, h. Assuming the opening is the origin. b. Write the Bernoulli’s equation of the water at the opening of the pool in terms of P0, ρ, h and v, where v is the speed at which the water leaves the opening. Assuming the opening is the origin. c. Express v2 in terms of g and h. d. Calculate the numerical value of v in meters per second. e. Express the flow rate of the water in terms of V and t. f. Express the cross-sectional area of the opening, A, in terms of V, v and t. g. Calculate the numerical value of A in cm2
Derive the dynamic equation in terms of the height h for the following fluid system. Assume laminar flow in the orifice. Assume p to be density of the fluid and g gravity. a is the area of the pipe. A H -Pi+Pa R L Pa
Help !! Don't copy from othersites ,write the variables clearly. Solve using the energy equation.
1. A sphere of radius a is moving with velocity U along the axis of a tube with circular cross-section of radius a(1 + €) with a closed end. See Figure 1. Determine the force exerted by the fluid on the sphere if the Reynolds number and e are small.
A fire starts in an apartment building in downtown Boston. When the firefighters arrive, they immediately get to work putting out the fire using a fire hose. The water for the fire hose is provided by a fire hydrant at ground level. Assume that the velocity of the liquid coming from the fire hydrant is 1.6 m/s, and that the pressure at the hose nozzle is atmospheric pressure (101000 Pa). a. The firefighters start with the ground floor, so there is no change in height between the fire hydrant and the hose nozzle. If the velocity of the water coming out of the nozzle is 12.8 m/s, find the pressure at the fire hydrant in units of Pa. b. After the ground floor fire is put out, another fire is spotted on another floor. A firefighter carrying the hose is lifted on a platform to the same height as the fire, which is 44.35 m above the ground. Assuming that the pressure found in part a) remains constant, what would be the new velocity of the water coming out of the nozzle at this new height?
Please give a detailed Handwritten solution.
Consider a column of water as it falls from a faucet. The opening in the faucet has radius ro and the water comes out with initial velocity vo. Define y to be the distance below the faucet. As the water falls (y increases), it accelerates due to gravity and the stream narrows. a) Assuming streamline flow, find an expression for the velocity of the water for any distance below the faucet. b) The stream obeys the continuity equation. Use this to determine the radius of the stream as a function of y. c) At what distance ₁/2 will the radius of the stream be half its original radius? At what distance Y1/3 will it be a third? d) Compare 1/2 and Y1/3 for v0 = = 1 m/s and v0 = 0.1 m/s (use g = 10 m/s²).
Q(in) is a constant inflow which maintains the water level in the tank. Find the horizontal force needed to hold the tank stationary. If you could make any notes on steps in the method to make it clearer that would be great too. Thanks in advance!
Water flows at the rate of 0.015 m/sec from open reservoir A to open reservoir B (both are large reservoirs that are open to the atmosphere) through two concrete (8 = 0.32 mm) pipes connected in series. If L1 = 800 m, Di = 16 cm, L2 = 200 m, and D2 = 8 cm, determine the difference in water surface elevations (Az) of the reservoirs. The coefficient of contraction (K.) is 0.36, the entrance coefficient is K = 0.5, the exit coefficient is K = 1.0, and assume fully turbulent flow (Xx = 9810 N/m?, Ku = 1.12 x 10-6 m²/s). You do not need to check if the assumption of fully turbulent flow is valid, just assume that it is valid. А Az =? Pipe 1 В Pipe 2 undefined
Question 5 is attached.
Give detailed solution,Only Handwritten.

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