I am stumped by an exercise in using Laplace transforms to analyze the voltage and current in simple LC tank. My issue is with the correct sign of the voltage across the capacitor ...let me pose the problem.
A circuit consists of a voltage source V, 2 switches, a cap C and an inductor L. The...
Hi all,
Can someone clarify whether the following is right?
Assume a Cylindrical tank with a base area of 2000 sq.cm, is filled with water upto 15 metres ( tank starts from ground level)
1) The pressure at the bottom of tank will be 2.5 bar ( approx) i.e 1 bar pressure for every 10...
Homework Statement [/b][/B]
a Storage tank at STP contains 18,5kg of nitrogen (N2). a) What is the volume of the tank? b) What is the pressure if an additional 15.kg of nitrogen is added without changing the temperature.
Homework Equations
n= m/molar mass
P= nRT/V
The Attempt at...
Hi,
A cylindrical object is reentering at a Mach number of say 25 at an altitude of 80 km. I like to calculate static pressure and static temperature inside the cylinder.
Yes Obvious, normal shock will form. But the problem is a small orifice (say 20 cm ) is available in the cylinder, the...
Homework Statement
An army tank on a mountainside fires its gun horizontally. The shell strikes the ground at a horizontal distance of 6000 m away from the tank. As the vertical component of the shell’s striking velocity is vy=200 m/s, how soon after it is fired does the shell strike the...
Hello guys,
I want to study the temperature evolution of a gas in a vessel from 200 bar to 20 bar. I made the assumption the expansion is isentropic. However I have some trouble to represent the heat exchange between the wall and the gas. I used the energy conservation (transfer from a...
please check my work here
1. The larger of the two pipes can fill a tank in 40 min. and the smaller can fill it in 50 min. while the drain is opened. Find the time required for the drain to empty the full tank if the pipes are closed.
Solution...
Homework Statement
Using unsteady state energy balances, discuss why storing cold water will be better in a larger tank rather than a smaller one.
Assume the initial state where the tank is full.
The Attempt at a Solution
I've tried to make this an algebraic exercise where I created...
Homework Statement
Water flows at the end of an aqueduct into the upper end of a 500m long pipe. The pipe has angle of 30 degrees to the horizontal and its low end exits into the bottom of a collection tank. The collection tank can hold a depth of 120m, above the centre line of the delivery...
Homework Statement
Hi all,
I am helping in designing a conveyor that takes freshly milled mild steel bars and submerges them in a tank of cooled water to reduce their temperature enough to to not damage the proceeding equipment.
The tank of water will be connected to a separate...
Homework Statement
A water tank is formed by sliding four identical cubical blocks together. All edges are watertight. Each block has mass M and is L meters on each side. You wish to fill the tank to its brim, i.e. to depth L.
What is the minimum coefficient of static friction between the...
Homework Statement
A rectangular opening is cut into the side of a large open-topped water tank. The opening has width W and height H2 - H1, where H1 is the distance from the top of the tank to the top of the opening, and H2 is the distance from the top of the tank to the bottom of the...
I'm trying to help a Plummer friend out. I was once a pretty good Navy Tech with good component level trouble shooting skills, but that is long in the past and I have forgotten all of the math required to figure out even the most simple circuits. He has a sewer camera with a locator for it. He...
Homework Statement
Right cylindrical tank measures 30ft high and 20ft in diameter. How much work is required to fill the tank with kerosene which has a weight of 51.2 pounds per cubic feet
Homework Equations
I know that W=Fxi
and F=mg
The Attempt at a Solution
My professor did a...
Did I answer this right ?
An open tank contains liquid with a specific gravity of 1.735. If the height of the liquid is 10 feet, how much head pressure (in inches w.c. (water column)) will it exert?
P= (10) (1.735)= 17.35
What is the pressure in PSI?
P= (1.735)(0.433)(10feet)= 7.51255
Hi
How would I calculate a series-parallel LC circuit for resonance? I added up all the μH and pF for the equation, would that be correct? The inductors are in parallel, and the capacitors in series.
I just want to make a sanity check here.
here's the problem
One pipe can fill a tank 45min and another can fill it in 30 min. If these two pipes are open and a third pipe is draining water from the tank, it takes 27 min to fill the tank. how low will it take the third pipe alone to empty a...
Homework Statement
The water from a pipe flows into a tank of volume 180 m^3. If the tank is initially empty, how long will it take to fill the tank?
I know that water is coming out of the pipe with a velocity of 22 m/s, and the diameter of this end of the pipe is 48 cm.
Homework...
Hello!
I'm currently working on a project where i am supposed to model a two tank system. The only information the project gave me, was that i have to control the fluid level in tank 2 (what kind of fluid
is up to me). I have tried to put the problem in a practical contex, where i have...
Homework Statement
A tank made of a material with negligible heat capacity is connected to a pipeline containing steam at 20 kPa and 250°C. Assume the tank is well insulated and that it has a volume of 1 m3. The tank is filled with steam until the pressure equilibrates, then it is disconnected...
Homework Statement
Water drains out of an inverted conical tank at a rate proportional to the depth (y) of water in the tank. Write a diff EQ as a function of time.
This tank's water level has dropped from 16 feet deep to 9 feet deep in one hour. How long will it take before the tank is...
2. Water drains out of an inverted conical tank at a rate proportional to the depth y of water in the tank. Write a differential equation for y as a function of time.
My answer was dy/dt = ky.
This was from a weekly homework set where there were only 5 problems. I feel like I am missing...
Hello
Homework Statement
An open tank is constructed with a square base and vertical sides to hold 32m3 of water. Find dimensions of the tank if the area of the sheet metal used to make it is to have a minimum value.
Homework Equations
The Attempt at a Solution
I'm not...
Have a new task, would appreciate some pointers.
Conducting a heat transfer analysis on a tank with water coming in and out that's to serve as a hot side for a displacing stirling engine. If the inlet q dot into the tank is 1000W. Observing there will be losses due to conduction and...
Hello friends,
I'm trying to calculate the fill time to compress an air tank. I currently have the compressor's flow rate[CFM] at various pressures[PSI].
I honestly thought it was a trivial endeavor until I started gathering all the critical elements.
So, there's obviously flow rate...
First off Id like to say hello and I am glad I found this forum. Reading threw some of the threads, it sounds like we have a great group of people here.
I am trying to come up with a way to calculate the amount of chocolate being held in the chocolate reserve tank at my place of employment...
Homework Statement
A scuba tank has a volume of 2800cm3. For very deep dives, the tank is lled with 50%
(by volume) pure oxygen (O2) and 50% pure helium (He). The molar mass of helium
is 4 g mol/1, and for oxygen is 32 g mol/1.
How many molecules are there of each type in the tank if it is...
Homework Statement
A scuba diver's 2ft3 air tank is to be filled with air from a compressed air line at 120 psia and 100F. Initially, the air in this tank is at 20 psia and 70F. Presuming that the tank is well insulated, determine the temperature and mass in the tank when it is filled to 120...
Link at the bottom if you do not know what I am talking about. Fish tank that works like pet watering bowl.
If you poked a hole at the top air would go rush in.
If you poked a hole at the bottom water would rush out.
At what point in the tank would water be under so little pressure, the...
So a cousin has asked me for Calculus help, but my Calculus is rusty. She's in Calculus II (of a 3-semester sequence in the US) and is on Work. I decided to make up a problem for her, but I want to make sure I know what I'm doing.
Homework Statement
A cylindrical tank (16 feet high with a...
If I allow a tank that's pressurized(3000 psi) and initial temp (121) to cool to room temperature (25 C), will that increase the rate of condensation or is there a fixed amount of condensation that occurs while at that pressure? Having a tough time understanding that phenomenon. If no change in...
I can't seem to model this properly. This isn't an assignment, I'm just curious how this will go, lol.
So I have this tank with an incoming feed stream with temperature Ti, and an output stream T. It has a jacket where q would be modified depending on the desired output stream T.
So I...
Homework Statement
Suppose water is leaking from a tank through a circular hole of area Ah at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to
c.Ah.(2gh)^.5
, where c (0 < c < 1)...
Supposing you had a cylindrical closed tank inside the body of a submarine; the top of the tank is at 200m depth. The tank has height 2.5m and internal volume 1.8m^3.
A section of pipework is connected between the top surface of the submersible (level with the top of the tank) and to the...
Supposing you had a tank mounted to the outside of a submersible vehicle.
The tank lid is left open, and the vessel that taken down to 200m sea water depth, to top of tank.
The tank lid is now closed at this depth; it is assumed that the tank is completely full, with no air gap/bubble on...
Hello,
Having trouble with one quirk to this mixing tank problem:
All large mixing tank initially holds 300 gallons of water, with 50 lbs of salt already in it (initial value problem). A brine solution of 2 lb/gal is pumped in at 3 gallons per minute. The water is pumped out at the faster...
For this problem, it reminds me of related rates problems, except I'm not given a constraint such as dr/dt = something at r = something.
I tried using partial derivatives to solve it, but I'm not seeing a way to get rid of the r terms, or its derivative
Homework Statement
Homework Equations
The Attempt at a Solution
The attempt at the solution has been attached, I'm up to part C on this though, so I haven't attempted d or f. I'll get to those as soon as part c is clear as well as A and B.
I don't understand how doing a gas phase mass...
Homework Statement
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 L / min. The...
A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1lb of salt per gallon is entering at a rat of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Find the amount of salt in the tank...
This is the example 2.12 from "Introduction to Chemical Engineering Thermodynamics", 6th. ed, by Smith, Van Ness & Abbott:
"An evacuated tank is filled with gas from a constant-pressure line. What is the relation between the enthalpy of the gas in the entrance line and the internal energy of...
I have a 6500 litre or 6.5 m^3 tank.
A vacuum pump (40000 litres per minute) creates a 90 % vacuum inside the tank.
The vacuum is used to suck in water. The climb the water has to make is 6m.
How much time will it take to fill the tank, given that the pump is kept on all the while...
Homework Statement
Theres a atmospheric tank with a goose neck vent on the top and also an inlet pipe [a diameter 2 inch schedule 40] on the top. There is a compressed air line [from a 50 psi compressor] going into the inlet. The pressure inside the tank should not be above 2 psi. Size the...
Hi can someone please help me I have been asked to calculate how long it would take to flood a compartment taking into account:
Back pressure due to the air inside the tank being compressed. This will happen as the tank floods until the point when air pressure inside the tank is the same as...