Volume Definition and 1000 Threads

Hello, I have been working on a personal project involving the transfer of liquid CO2. I want to figure out a way to measure the transfer of liquid CO2 from one cylinder (supply cylinder) to another (receiving cylinder) and get an exact measurement of how much CO2 was transferred into the...

Finding the landspeed a object needs correlating with its area and weight in volume that a object needs to stay above water looking for the equation and plug in methods

Homework Statement The area under y = (x^2/9) + 1 from x = 0 to x = 3 , and the area enclosed by the y= 0 , y=2 , x=3 , and x=4, are rotated about the y-axis , and the solid generated represents a metal ash tray , the units being cm. Calculate the volume of a metal. Homework EquationsThe...

Homework Statement The area enclosed by y= 4/x^2 , y =1 and y =4 is rotated about the x-axis; find the volume generated. I am really confused I keep getting (14pi/3). But the answer in the back of the book is not that at all. An additional question, the only method I know is drawing a really...

Hi, I want to calculate volume of a tank , 1. Tank contains water and it leaves tank at 7 degree celcius and comes back at 11 degree celcius. So ∇T= 4°C. 2. Time required to complately empty 20 Minutes 3. Energy absorbed in raise from 7ºC to 11ºC = 25 KW I need to calculate the volume of...

In the gas industry you often need to know the installation volume of a system, i.e. the amount of gas it contains in the pipework, fitting and meters. If part of the installation is buried or inaccessible this is difficult to estimate. My concept is to estimate installation volume by...

Hello. I am in the process of calculating the brake fluid volume in the reservoir. I have a front disc and rear drum brake system. While the piston travel is clear for the disc brake, my question is related to the drum brake wheel cylinder piston travel. Assuming that the liner wear is 8 mm...

Assume we have the following copper slab, with volume ##V##, and introduced a magnetic field covering a small area of it like so: There is change in magnetic flux(##\phi##) due to the magnetic field increasing/decreasing, and via Faraday & Len'z law of electromagnetism, there is an induced...

I have Bathymetry data which gives the depth-area-volume relationship of a lake. I have determined the area-volume relationship using the function Area=A*Vol^B. Now I'm not sure how to determine the similar relationship between depth and volume. Can I use the same function i.e. Depth=A*Vol^B? I...

Homework Statement 2 moles of water at 20°C undergoes electrolysis at 5A/40V inside of a closed 40mL container for 1 min at standard external/internal pressure. What is the final volume of the system? Homework Equations (Q*M)/(F*z)=m Q=c x m x ΔT Vi/Ti = Vf/TfThe Attempt at a Solution Gas...

Homework Statement Find: (a) Equation of state $$f (p, V, T)$$ and (b) Adiabatic equation in dependence on volume and pressure. Internal energy $$U(V, S)=\frac{1}{aV} ln(\frac{S}{\gamma})$$ where a and ##\gamma## are positive constants. Homework Equations (a) ##dU=TdS-pdV \rightarrow##...

I'm trying to learn more about water electrolysis and the work done on and by the system, but I'm still very confused about a few elements. Knowing the volume of the closed container, the number of moles of water, the amps/volts from the battery, and the initial temperature of the water, I know...

Homework Statement A barrel, open on the top, full of water, has a radium ##R=0.25\text{ m}## and a height ##h=0.75\text{ m}##. At its base there is a hole where a pipe is attached. The pipe's length is ##\ell=1.0\text{ m}## and its radius ##r=0.0019\text{ m}##. I would like to find the time...

Homework Statement Daniel Schroeder, introduction to thermal physics problem 1.36 (page 26): "In the course of pumping up a bicycle tire, a liter of air at atmospheric pressure is compressed adiabatically to a pressure of 7 atm. (Air is mostly diatomic nitrogen and oxygen.) a) What is the...

In the constant volume gas thermometer, T (°c)=[P(T)-P(f)]×100/[P(b)-P(f)] (P(T) means gas pressure at T°c P(b) and P(f) for the water's boiling point and freezing point) Is it right?

Homework Statement A sphere of radius R has a volume charge distribution ##\rho(r)## given by: ##\rho(r)= \rho_0 \left( \frac{r}{R_0} \right) \ \ for \ 0 <r<R## ##\rho(r)=0 \ \ elsewhere## Where ##\rho_0## is a constant. Use Gauss's law to find E field outside the sphere. Homework Equations...

Homework Statement Flat space-time in polar coordinate is considered. The line element is ds2= -dt2+dr2+r2(dθ2+sin2θdΦ2) The actual answers are given below, but I can't come up to them. Need urgent help. Homework Equations dA = √g11g22 dx1 dx2 dV = √g11g22g33 dx1 dx2dx3 The Attempt at a...

My first question is, what is a diagonal metric? Secondly while calculating the area and volume of a diagonal metric, why do we calculate it like dA = √g11g22 dx1dx2 instead of dA = g1g2dx1dx2 ?

Homework Statement So I have a problem/question were tanks are filled with water and its specific weight is 9.45 kN/m^3. They also give you a range of volumes of different tanks. The problem then asks for the plot of added weight (kN) due to the liquid for the given range of the different tank...

So I have a problem/question were tanks are filled with water and its specific weight is 9.45 kN/m^3. They also give you a range of volumes of different tanks. The problem then asks for the added weight (kN) due to the liquid for the given range of the different tank sizes (diameter). My...

Homework Statement Dear all, I am desperately trying to solve the following exercise, but unfortunately can't find any resources how to properly calculate the phase space volume. Given is a system of ##N>>1## classical particles that are allowed to move in a cylinder with a Radius of ##R##...

Homework Statement 2 moles of water undergoes electrolysis at 10A. What is the total volume of the system after 1hr? Homework Equations 4 H+(aq) + 4e−→ 2H2(g) 2 H2O(l) → O2(g) + 4 H+(aq) + 4e− Faraday's Law of Electrolysis Q = n(e-) x F F = 96500C The Attempt at a Solution Initial volume...

(note I am designing this question myself, in order to understand this phenomenon by example) Homework Statement Find the total radiative power emitted within a 0.1 m2 semi-transparent medium, having an absorption coefficient of 5 m-1 over all spectra, and a temperature of 1000 K. Note that...

Given any tetraedron, I want to calculate the volume V in function of the areas of the surfaces of the solid. I found this pdf that explain this: http://daylateanddollarshort.com/mathdocs/Heron-like-Results-for-Tetrahedral-Volume.pdf But, o pdf says that beyond of the 4 faces (X, Y, Z, W) is...

See the image that I uploaded... I want to write the surface S (bounded by edges u, v and w) in terms of x, y and z, u, v and w and A, B and C. And I got it! See: S(A,B,C) = \sqrt{A^2+B^2+C^2} S(x,y,z) = \sqrt{\frac{1}{4}( (yz)^2 + (zx)^2 + (xy)^2 )} S(u,v,w) =...

I have a tutorial question that I'm not too sure of. The question states: Calculate the volume fraction Φ for a polymer solution of concentration C (given in g/L) and hydrodynamic radius R? The answer was given as...

Taken from http://dao.mit.edu/8.231/BZandRL.pdf BCC In real space, it has a simple cubic lattice with one basis in the centre. Total number of atoms per unit cell = 2. Volume of primitive unit cell is then ##\frac{1}{2}a^3##. In reciprocal space, BCC becomes an FCC structure. It has a simple...

I'm not getting the right answer... why?

In some questions, I've noticed that some questions which relate to equations that involve mass (Kg) and I am given a volume. e.g http://gyazo.com/169d40e27c5a14508724cb574635aca8 Know I that Δu=mCΔT, and I know that Δu=400w x t = m x 4200 x 60 and solve for t, but do I assumption that 1Kg = 1 L ?

A spherical shell has an outside radius of 2.75 cm and an inside radius of a. The shell wall has uniform thickness and is made of a material with density 4.59 g/cm3. The space inside the shell is filled with a liquid having a density of 1.00 g/cm3. (a) Find the mass m of the sphere, including...

The required Formulas are: Area of circle = Pi (r)^2 Volume of Cone = 1/3 Pi (r)^2 h Here is my try: I know the smaller cone and bigger ones are congurent, so 50/25 = 15/h h=7.5, but the answer is incorrect. Please help

The density of an object equals its mass divided by its volume. The mass of Earth is 6x10e+24 and its radius is 4000 miles (1.61km = 1mile). What is the density of the Earth in kg/m^3?V=4/3pi(r)^3. D=M/VConverting 4000 to Km, I get 6400. After plugging it into the Volume equation, I end up with...

In the process for orienting molecular chains, for example dyneema, does the volume of the polymer change? In the process for creating dyneema, the fibers are drawn, heated and elongated. Would this change the volume of fiber? I know the density for dyneema is listed at .97. The density of...

Homework Statement The problem is asking to find the volume of this pulley Formulas that is in the chapter. Area = r^2*θ/(2) Where θ is in radians Homework Equations I drew the drawing in solid works and got the volume to come out to 6.27 cubic inch. But I am not sure if this is the correct...

I am trying to work out a formula for the approximate calculation of the lung capacity of a racehorse. http://performancegenetics.com/wp-content/uploads/2015/05/Horse.jpg I take three physical dimensions on the horse. 1) The measurement of the girth (which is the perimeter of an ellipse)...

The question seems to be of quite low level yet many of teachers i found are unable to explain me the exact concept that what is mass density and volume.Yeah i know the formula d=m/v also v=a^3... Please explain what practically & exactly they are and how both formula has came exactly. Please...

What if the Friedmann equation told how the (square of) fractional growth rate of spatial volume relates to the energy density, instead of describing how the (square of) fractional growth rate of spatial distance relates to energy density? Just two slightly different ways of describing the...

Find the volume laying inside x^2 + y^2 + z^2 =2z and inside z^2 = x^2 + y^2. This is a problem my professor made, so I have no way of checking my answer. What I did first was completed the square for the sphere and got x^2 + y^2 + (z-1)^2 = 1, which is a sphere of radius one shifted above the...

Hi. I'm trying to write some anatomical systems for a game I'm coding, and i need some good data to work from. Our game is about dogs, not humans, but i figure a human will be close enough What I'd really like is a case study of a specific organism, and i'd like to know the compositions, by...

Hey all 1. Two speakers emit sound in phase with the frequency of 13.2 kHz, the sound from the loudspeakers directed at points A , B and C. Rank the volume of the three points with the weakest first. speed of sound 340m/s 2. 3. I think I need to use Pythagoras says to calculate the path...

Homework Statement Gas occupies 2m^3 at a pressure of 100kPa. What is the pressure when the volume is 1.5m^3 and the temprature is unchanged? Homework Equations p=nRT/V The Attempt at a Solution As a logic conclusion i took 1.5/2x100 and got 75 but 175 is not the answer.. The answer is...

Homework Statement There is charge placed in a volume of a sphere, whose density changes by expression ρ(r)=ρ0a/r for 0<r≤a and ρ(0)=0. Where a and ρ0 are known variables , and r is a distance from the origin. Determine the potential of the point A(0,0,0) with regard to reference point at...

Hi all, I have the next dude: To utilize the Huygens principle at the boundary of a volume, do we need to know precisely material properties inside the volume? Thanks!

Homework Statement Homework Equations PV = nRTThe Attempt at a Solution n = 5.3 moles R = 8.31 J/(mol K) T = 273 K now, with P, do we use 1 atm or 1.013 x 105 i'll go with the latter, and the answer comes out to be 0.119 liters , does this sound correct?

First, two definitions: let ## \varrho (M)## be the probability density of macro states ##M ## (which correspond to a subgroup of the phase space) and ## \mathrm{d} \Gamma ## be the volume element of a phase space. In my lecture notes, the derivation for continuity equation of probability...

Homework Statement Using a suitable Jacobian, evaluate the volume bounded by the surface ##z = 2 +x^2##, the cylinder ##x^2 + y^2 = a^2## (where ##a## is a constant), and the ##x-y## plane. Homework Equations ##x = r cos{\theta} ## ##y = r sin{\theta} ## The Attempt at a Solution I...

Hello PF! I have some questions regarding the accumulation term for the energy balance on a variable volume system. Suppose we have a tank storing a liquid substance. The tank has a moving boundary at the top, which can expand unlimitedly. The system has a mass input \dot{m}_1 and mass output...

Homework Statement The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. Use differentials to estimate the maximum error in the calculated volume. Homework Equations Volume of sphere: V=4/3πR3 Circumference of Sphere: C=2πR ΔC = 0.5 cm The Attempt at a...

Homework Statement An aluminium container (cylinder) is filled with glycerine. Glycerine has a volume expansion coefficient of 4.85 × 10^-4 (°C)-1. Aluminium has a linear expansion coefficient of 2.40 x 10^-5 (°C)-1. At a temperature of 20.00°C the scale on the side of the aluminium container...

I may have misinterpreted this but today in calculus (AB) we were forming solids from 2 dimensional equations. One of the methods involved taking an integral of an area equation to solve for a solids volume. I got very excited as I often have difficulty remembering volume equations but am...