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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 Liquid is withdrawn from the tank at a volumeflow rate of (Alpha*(1+y)^3/2)/A) which depends on the depthof water in the tank at the same time liquid is replenished at avolume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
Let y[n] = Odd{x[n+1]}, where Odd{f[n]} takes the odd part of f[n]. Determine if this system is a. Linear b. Time invariant c. Causal For each part, either show proof that the property holds or show an example that it does not.
A Si PIN photodiode has an i-Si layer of width 20 µm. The p+ layer on the illumination side is very thin (0.1µm). The PIN is reverse biased by a voltage of 100 V and then illuminated with a very short optical pulse of wavelength 900 nm.
a. Determine the frequency and the period of x(t) b. Given another signal, y(t)= sin(3/4(t+1)+3/8), is y(t) identical to x(t) Why c. Given a discrete time signal x[n] = cos(3/4(n+1/2)+1/4) is it periodic Why
Assume that the Fermi energy level for a particular material is 6.25eV and that the electrons in this material follow the Fermi-Dirac distribution function. Calculate the temperature at which there is a 1% probability that a state 0.30eV
design a sequential circuit that continuously computes the function 2X + 3 or 3X + 1 where the variable X is a three-bit unsigned integer available on a serial interface. A special external data signal (DATA_READY) is asserted
A. Make a two bit counter with The input X =0 makes the counter count from 0-3-1-0 and X=1 goes from 0-1-2-3-0. Choose two different types of flip flops to implement it. B. Describe what will happen on your circuit when the present state is 2 and ..
Two equal resistors R connected in series across a voltage source V dissipate power P. What would be the power dissipated in the same resistors when they are connected in parallel across the same voltage source
A 5.00-g sample of vinegar is titrated with 0.108 MNaOH. If the vinegar requires 39.1 mL of the NaOH solution for complete reaction, what is the mass percentage of acetic acid, HC2H3O2, in the vinegar
The input capture option on the HCS12 is used to measure the period of a 100 Hz signal. With an E-clock of 24 MHz and no scaling, how many overflows will occur Assume the free-running timer starts at 0x0000.
Assume that a receiver has a first amplifier stage with a 5K-ohm input resistance, a gain of 300, an input audio signal of 20V, and an operating temperature of 27oC. When the amplifier is operating with a bandwidth first of 10 MHz
The resistance is .4 ohm for each transmission wire connecting the motor source. If the motor was operating at 100% pf and eff and the cost of electrical power was $.10/kWh, how much can be saved each year if the motor was wired to the 240.
Given that KG =.0894, w=15.4, φ=-125 degrees and G(s) = [520(s+2)]/[s2(s+30)] design a compensator that gives a PM of 90 degrees and does not change the open loop bandwidth.
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