Volume Definition and 1000 Threads

This is just a question I posed to myself while learning about waves, I was wondering how the volume of an audible noise is increased or decreased, is it related to the compression of the wave and therefore the force generating it? If somebody could explain this in mathematical terms or provide...

Homework Statement Take an elastic balloon of volume V in vacuum. The surface of the balloon has tension T. Find the pressure inside the balloon in terms of V and T, then combine this to the ideal gas law to find an expression for V. Homework Equations See below The Attempt at a Solution I...

Hello there, so I have answered my question from fluid systems but the answer doesn't look right ;/ and I have no idea what have I done wrong. Can you please check and correct where it's wrong ? ;) here is the question: A pipe contains a gradually tapering section in which its diameter decreases...

Homework Statement An infinite line of charge with linear density λ1 = 6.7 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.4 cm and outer radius b = 4.7 cm. The insulating shell is uniformly charged with a volume density of ρ = -722 μC/m3. What is λ2, the...

Homework Statement The problem says: "A record rainstorm produced 304.8 mm (approximately 1 ft) of rain in 42 min. Estimate the average force that the rain exerted on the roof of a house that measures 10 m * 16 m. Indicate any assumptions you made. (Note: density of water is 1000 kg/m3"...

Hi everyone, If you know the temperature rise of 2 moles of an ideal gas when a known amount of energy is transferred to it as heat, (hence are able to calculate cv by dU/dT); is the molar heat capacity simply half this value as it is half the number of moles?

I think I am having brain fade! I am trying to estimate the swept volume of a scroll compressor. I will use simple values for calculation. Assuming the diameter of each scroll is 4" and the scroll fin height or depth is 2". If I remember correctly, the scroll will intake 360* of rotation...

There is a nice equation made by Nobuo Yamamoto which describes the curve of an egg and it is: (x^2 + y^2)^2 = ax^3 + (3/10)xy^2, where a is the length of the major axis of the egg. Solve this equation for y, we get: y=+/- sqrt((3/20)ax - x^2 + xsqrt((7/10)ax + (9/400)a^2)) When I rotate the...

Homework Statement The Biot-Savart law for a current density j in a volume V is: d\vec{B} = \frac{\mu_0\vec{j}\times\vec{r}}{4\pi r^3} dV Derive the formula for the magnetic field created by a single point-like particle carrying charge q moving with velocity \vec{v}. Explain and justify all...

I am an EMT and have a concern. Some patients require high volumes of oxygen (as high as 15 liters per minute sometimes). Many times oxygen concentrators only go up to 5 lpm. It may be misleading to say 5 lpm because the machines have to operate based upon pressure rather than volume. 5 lpm...

I asked my teacher, and I was told that volume is the independent variable, and that pressure is dependent. The textbook I'm using said the same thing. After looking up some graphs of the law, I found that both pressure and volume were used as independent variables. It seems counter-intuitive...

If we take two planets One Earth and another one with half the radius of Earth. The planet with half the radius has lesser than half of the volume of the Earth. Also given that mass is half. Why? Is it because lower radius and lesser mass means lesser gravity and lesser gravity can pull lesser...

If I where to take a volume of water that is at atmospheric pressure and then add more water molecules to it without allowing the volume to increase I understand that the pressure will increase but does this also mean the temperature will increase? My guess is that is does but I don't...

hello my friend I need to know the Molar volume of sodium at the boiling point I can't find any thing about this please help me thanks

Homework Statement An air bubble of volume 20 cm^3 is at the bottom of a lake 40 m deep, where the temperature is 4.0°C. The bubble rises to the surface, which is at a temperature of 20°C. Take the temperature of the bubble’s air to be the same as that of the surrounding water. Just as the...

Homework Statement What is the volume of a tank that is 8 ft in diameter and 15 feet high Homework EquationsThe Attempt at a Solution Π x (4ft) 2 x 20ft 3.14 X 24ft x 15ft = 1130.4

Homework Statement How would you calculate the volume of a cylindrical tank that is on its side (called a horizontal tank)? Calculate the volume if that tank that is 10 ft. in diameter and 18 ft. long. I already know the answer i just need help understanding how they got the answer Homework...

Hi, I am working on a leak testing project in which i have a leaking valve and I am trying to determine the volume of nitrogen leaking through the valve. Side A (upstream of valve) starts at 4000psi with an unknown volume. Side B (downstream of valve) starts at 0psi with a pressure contained...

Homework Statement A fluid flows through a pipe. The flow varies with time. We want to estimate the volume of fluid (##V##, in ##L##) that passes through the pipe between time ##t = 10 s## and ##t = 14 s## (i.e. we want to integrate the flow between these times). The available instrumentation...

I'm trying to practice for my final. The sample problem is: "Find the volume of the solid generated when the region bounded by y = x4and y = x1/3, 0<=x<=1, is revolved about the x-axis." To start, I set the two y equations equal to each to find the points of intersection. x4 = x1/3, : raise...

Homework Statement The problem and its solution are attached as TheProblemAndSolution.jpg. Homework Equations V(D) = ∫∫∫_D ρ^2 sinθ dρ dϕ dθ The Attempt at a Solution How exactly does the solution get cos α = 1/√(3)? Also, when the solution goes from the step with two integrals to the step...

I had an exam question where I had to find the volume taken up by a gas consisting of 32 grams of oxygen and 4 grams of helium at STP conditions. I ended up getting a supposedly incorrect answer of about 44.8 liters by finding the volume of both gases and adding them together. However, my...

Hey guys, can some of ou help me with this question: I need to calculate the volumic flow rate for air by using the ideal gas law. Things i know from the assignment: molarmass = 28,96 kg/kmol Pressure = 1 bar mass flow = 2 kg/s t in = 20 degrees celcius t out = 50 degrees celcius (sorry for bad...

difference between pitch and volume?if a sound is high pitched ,doesn't it mean that sound is loud?I don't think so because loudness is related with amplitude and pitch has to do with frequency,right?BUT please someone explain how can we say whether a sound is high pitched or loud just by...

Help with the following problem will be much appreciated: Find the volume of the solid obtained by rotating the region bounded by y=x^7, y=1, and the y-axis about the line y=−4

Hi everyone, I'm doing a simulation and need some help. A capillary which is closed on both ends with the length l (x=0 to x=l), with a radius R and the volume pi*R^2*l is dropped on a parachut at the time t=0 from a hight h above ground. At t=0 the pressure inside the capillary is p_i0 (this...

Hello everyone, I have a small question regarding mass and volume flow rates. It is shown in my book that there is a difference between path functions and point functions. I can understand why work or heat for example are path functions. However, I don't understand why mass transfer is also...

Homework Statement find the volume of teh solid based on the interior of the circle, r=cos(theta), and capped by the plane z=x. Homework EquationsThe Attempt at a Solution i have drawn out the circle of equation r=cos(theta). I think that since z=x and is above the region, we have to use the...

Hi, I've had an idea for a school physics project but I'm not sure if it will work. I want to measure the volume of water in a fixed shape container by passing an electrical current though it and monitoring how the resistance changes (with a potential divider circuit). My idea is that if I...

Hi, In chapter 12 of GSW volume 2, the authors remark, "spinors form a representation of SO(n) that does not arise from a representation of GL(2,R)." What do they mean by this? More generally, since SO(n) is a subgroup of GL(2,R) won't every representation of GL(2,R) be a representation of...

Homework Statement http://postimg.org/image/4a8sv6umh/ Why do the pressure forces due to p1 and p2 act in the same direction? Homework EquationsThe Attempt at a Solution I thought that, given the direction of the flow, the pressure force on the bottom and top would act in opposite directions

Homework Statement http://postimg.org/image/i4p19540z/ Homework Equations Resultant force on the control volume = Mass flow rate (Velocity outlets -Velocity inlets) The Attempt at a Solution I am just wondering if the 4cm is called depth, then what is the term for the "into the paper"...

Homework Statement Sand falls from a conveyor belt at the rate of 10m^3/min onto the top of a conical pile. The height of the pile is always 3/8ths of the base diameter. How fast is the radius changing when the pile is 4 m high? 3. The Attempt at a Solution V = pir^2 (4/3) -- volume of a...

Hi, I was just wondering, is there any way to estimate the vollume of a MOT (formed by 3 incoming and 3 counterpropating beams at a point where the magnetic field B=0) just by seeing its 2D projection (maybe through a camera) ? I could only measure its 2 dimensions in the picture: h=0.9 mm...

This is not a homework problem this is just a problem I was thinking about whether or not it would be possible to solve without cylinderical shells The region bounded by y=1/(x^2) x=e x=e^3 and the x-axis Rotated around y axis.. I did cylindrical shells and got 4pi and then wondered if I...

Homework Statement find the volume of the solid below the plane z = 4x and above the circle x^2 + y^2 = 16 in the xy plane Homework EquationsThe Attempt at a Solution This totally confused me. I didn't think the plane z = 4x sat above the xy plane. If that is true then there would be no solid...

Homework Statement This is part of the online tutorial I'm reading: http://farside.ph.utexas.edu/teaching/em/lectures/node49.html I'm so confused about the notation of Dirac Delta. It's said that 3-dimensional delta function is denoted as \delta^3(x, y, z)=\delta(x)\delta(y)\delta(z) in...

Homework Statement find the volume using spherical coordinates of the region bounded above by z=9 and below by z=sqrt(x^2+y^2) in the first octant. Homework EquationsThe Attempt at a Solution I found this volume using cartesian and cylindrical coordinates, so I know the answer I am looking...

Homework Statement I have a problem: So one tank is pressurised and then a pipe connecting this tank to a smaller one is opened so air can flow into the smaller tank. You then wait for the pressure to settle and read some pressure for each cylinder values. I need to find two ways to measure...

Homework Statement A rock is suspended by a light string. When the rock is in air, the tension in the string is 35.7N . When the rock is totally immersed in water, the tension is 25.9N . When the rock is totally immersed in an unknown liquid, the tension is 19.6N . Homework Equations Density =...

Homework Statement Steam is raised as saturated steam at 6 bar (g) and supplied to the first ( high pressure ) piston. The steam then exhausts from piston 1 at 3 bar (g). The steam is thought to expand adiabatically in accordance with PV^( 135 .1)= Constant Given the initial volume is...

Hi, I am wondering if anyone can help me out with this, I'm looking to create 9 ± 1 bar (131 ± 15 psi) of Entry Water pressure for 15-25 seconds to create a 25 ± 2.5 mL of volume as it pass through 7 ± 0.5 g (0.25 ± 0.02 oz) of finelyy ground material. If I were to pressurize an air chamber...

Homework Statement I need to find the volume of an egg with a shape described by: z = 1/2(x2 + y2) and z = 6 - x2 - y2 I am also given that the egg is 6cm in length.Homework Equations I roughly graphed the two surfaces. The first being paraboloid that opens up from the origin, and the second...

So in a cnc machine, the screw that drives the x,y,z axiis are called "lead screws". I am constructing a machine that displences fluid at percise volumes. It will be essencially a seringe with one way valves coming in and going out. To open the "check valve" it requires at least 1.5 psi. If I am...

Homework Statement Given T=572 ºF, pressure= 145 psi (g) using the steam tables and ideal gas law Molar Mass= 18 g/mol for water Find: Is the water vapour acting ideally? Homework Equations Ideal Gas Law: PV=nRT P is the pressure =145 psi (g) V is the molar volume n= mol R= Ideal gas constant...

Water density at 0 C is 990 kg/m3. Water density at 100 C is 1030 kg/m3 - 1 m3 of water "loses" about 4 % of its mass. Water expansion rate is 1.0002 for each 1 C increase in temperature - 2 % for the above rise from 0 C to 100 C.. How comes that water density decreases 4 % but its volume...

Homework Statement Deep sea fish experience a tremendous amount of atmospheric pressure. When you are at a depth of 2000 m in the sea, the pressure that you will experience is about 200 times atmospheric pressure (1atm=1.0×105N/m2)which you will experience on land. If you are lowering a...

Homework Statement An ideal monoatomic gas undergoes the following cycle: from 1.) V1 = 1m3, p1=2.5kPa, T1=200k to 2) V2=1m3, p2=7.5kPa then to 3)V3=3m3, p3=2.5kPA, and 4) back to 1). a. Sketch b. How many mole of gas are in the process? c. Give the missing temperatures at positions 2. and 3...

if a swimming pool has a volume of y^3-y and a height of y-1 then what is the length and width?

Homework Statement Hello everyone! I recently did an experiment, one of the parts was rapidly releasing some gas from a large vessel. We had previously increased the pressure, let it settle and then opened a value to let some out. I am wondering which thermodynamic process this approximates...