Write out by hand an estimate of the water level in storage

Assignment Help Electrical Engineering

Reference no: EM13284417

A cylindrical storage tank with cross sectional area A.contains a liquid at a depth "y", defined such that y=0 when thetank is half full. Liquid is withdrawn from the tank at a volumeflow rate of (Alpha*(1+y)^3/2)/A) which depends on the depthof water in the tank at the same time liquid is replenished at avolume rate of (2*(Q/A)*(sin(t))^2. The differential equationdescribing the rate of change of the depth of the water in the tankis:

dydt=(2*(Q/A)*(sin(t))^2-(Alpha*(1+y)^3/2)/A)

Given Data: A=800, Q=350, Alpha=220. Initial condition:y(t=0)=5m.

A) Write out by hand an estimate of the water level "y" at the time t=1.5sec using Euler's method with step size 0.5 sec

B) Solve with MATLAB t=0 to t=10, with stepsize = 0.5 andPLOT

Reference no: EM13284417

Questions Cloud

Calculate the area of the plate : A rectangular plate has a length of (20.4 0.2) cm and a width of (8.7 0.1) cm. Calculate the area of the plate

What was the average annual rate of return on long-term : What was the average annual rate of return on long-term corporate bonds during the period 1926 to 2008.

What risk-free rate of return on a norwegian security : Suppose the current spot rate for the Norwegian kroner is $1 = NKr6.6869. The expected inflation rate in Norway is 6 percent and in the U.S. it is 3.1 percent. A risk-free asset in the U.S. is yielding 4 percent. What risk-free rate of return shou..

What is rrr estimated stock price per share : RRR Inc. has $1,000,000 in debt. Using free cash flows and WACC and a estimated growth rate, you calculate the total value of the firm to be $2,000,000. If there are 100,000 common stock shares outstanding, what is RRR's estimated stock price per ..

Write out by hand an estimate of the water level in storage : A cylindrical storage tank with cross sectional area A.contains a liquid at a depth "y", defined such that y=0 when thetank is half full. Liquid is withdrawn from the tank at a volumeflow rate of (Alpha*(1+y)^3/2)/A)

What is the initial speed of the boulder : A large boulder rests on a cliff 500 m above a small village in such a position that, What is the initial speed of the boulder

How far do serving and interfering bss have to be apart : Consider a system that needs an 8-dB SIR for proper operation. How far do serving and interfering BSs have to be apart so that the MS has sufficient SIR 90% of the time at the cell boundary. Make a worst case estimate.

At what angle does the muon come off : A pion traveling at speed v decays into a muon and neutrino. at what angle does the muon come off

What was the investor return : An investor buys a stock for $80, and one year later receives a $5 dividend and sells the stock for $79. What was the investor's return?

User Account

All Pages