Homework Statement
A function is given at y = \sqrt{x-x^2}
Find the volume of the solid of the revolution around the x axis. Not sure if this is the correct translation, but find the volume when you revolve the function around the x axis.
The object in question is a sphere. What does the...
Looking for a quantum-based explanation as to why solids, when heated, emit radiation as a continuum, rather than discretely.
Gas will emit discrete spectral lines when heated. Somone already suggested to me that there may be many random purtubations to the discrete energy levels in a heated...
Homework Statement
"A force F of magnitude 90 kN is applied at point C at an angle of 45°. The pin-joint B may be assumed to be resting on frictionless rollers. Determine the reaction forces at A and B"
Image of the diagram here: http://i.imgur.com/jUL0rJe.jpg?1
Homework Equations
two...
Does amorphous solids support phonons or nomal modes of vibration.??
Can we apply the concept of phonons and Debye Model in case of amorphous and poly-crystalline solids??
http://en.wikipedia.org/wiki/Phonon
http://en.wikipedia.org/wiki/Debye_model
The links I have attached above...
need some help here.
1. find the volume (by washer method) of the solid generated by revolving the region bounded by $y=3+x^2$ and the line $y=4$ about the x-axis.
2. write the integral that will give the volume of the solid generated by revolving the region bounded by $y=e^{2x}$, $x=-1$ and...
For an electron in a periodic potential the Schrödinger equation has solutions for which there are large gaps in the energy. This is used to explain properties relating to the electric conduction in solids.
In my book the formation of energy bands is explained using the Bragg diffraction in a...
Hello
I want to suspend, or really have the sinking effect be slow, different kinds of rocks/ gem stones in a jar. So i don't really know where to start. I want something easy to get, clear, not toxic.
I'm going to start with something like corn sryup and see what it looks like. But if anyone...
This is the problem:
Consider a system of two Einstein solids, with NA = 300, NB = 200, and qtotal = 100. Compute the entropy of the most likely macrostate and of the least likely macro state.
I only have a doubt. Is the most likely macro state when each solid has half the energy (in this...
I wonder what happens when one compresses a solid, let's say iron. In thermodynamics state functions are all smooth and differentiable, in other words V(P,T) would have no discontinuity.
Let's assume that we have an iron phase alpha at room temperature and pressure. We compress the rod up to...
A solid lies between planes perpendicular to the x-axis at x=-a and x=a for values of a>0 to be given below in parts (i) and (ii). In each case the cross-sections perpendicular to the x-axis between these planes run from the semicircle y=√(a^2-x^2) to the semicircle
y=-√(a^2-x^2).
If...
Hi there,
I'm an instructor teaching a Physics course for Radiography students designed for students with little to no Physics background. In prepping the course, I've come up with a couple of questions that are bothering me and hope someone here can be of assistance.
My questions pertain to...
I'm curious what models there are for calculating the Electric Susceptibility in crystalline solids and any books that describe maxwell equations in solids well. I'm interested in how to predict index of refraction of materials and the texts are a bit above my head as I haven't really dealt with...
1.A brass ring of diameter 10.00 cm at 20.0°C is heated and slipped over an aluminum rod of diameter 10.01 cm at 20.0°C. Assuming the average coefficients of linear expansion are constant, (a) to what temperature must this combination be cooled to separate them? Is this attainable? (b) What if...
I am researching mass spectrometry for my school assignment and I seem to be getting contradictory answers. Some websites say that the sample used in mass spectrometry is definitely vaporized before use but other websites state that it can work on liquids e.g. in liquid chromatography/ mass...
I'm trying to get started on this project but am totally confused about how to find the volume of the solid. All the information I was given was the following:
y= √x
boundaries: 0,9
cross sections: isosceles right triangle
how the hell do I get started?!
Greetings.
I want to experiment with the effects of macroscopic ionized solids.
But first, let's have a little 'thought experiment'!
If I have say, a gram of elemental copper, surrounded by ultra-pure water and it's put into a device which is capable of filling all of the valence...
Homework Statement
Find the volume of the solid generated by revolving the region bounded by the graphs of y= x^2 - 4x + 5 and y= 5- x about the line y= -1
Homework Equations
That is what I'm trying to figure out here, which one of the methods to use.
The Attempt at a Solution...
Here is the question:
Here is a link to the questions:
Calculus Disc/washer/shell method.? - Yahoo! Answers
I have posted a link there to this topic so the OP can find my response.
Homework Statement
The region R shown in Fig. 1 is bounded by the line y=8(x-2), the axes, and the line y=h. Find by integration the volume formed when R is rotated through 360° about the y axis(see Fig. 2)
A whisky glass has the shape indicated in Fig 2 where the units are centimetres...
http://www.math24.net/physical-applications-of-triple-integrals.html
"The static moments of the solid about the coordinate planes Oxy, Oyz, Oxz are given by the formulas"
What exactly does that mean? I understand what a moment about an axis is, but about a plane? what? Do they mean moment...
Homework Statement
Find the volumes of the solids generated
a) x-3y+3= 0, x=0 , y=2 about the x axis
I sketched the graph got a straight line,
I then proceeded to integrate y2
∏∫y2δx
=[(x^3/27)+(x^2/3)+ (x)] from x=3 to x=-3
I got 8∏
but the answer is 5∏
b) x-y2-1=0, x=2...
Homework Statement
Find the volume of the solid generated by rotating about the y-axis
y= 1-x3 x=0 , y=0
I tried sketching the graph of y= 1-x^3 then tried to find the volume from y=1 to y=0.
if x^3 = 1-y
x= (1-y)1/3
so x2= (1-y)2/3
∏∫x2δy
=> ∏∫(1-y)2/3.dy = ∏[ -3/5(1-y)^(5/3)]
I did that...
Homework Statement
Let n>1/2 and consider the function
f(x)=x^{-n} for x\in[1,∞)
Calculate the volume of the solid generated by rorating f(x) about the x-axis, showing all details of your working.
Homework Equations
Since it is rotated about the x-axis, its axis of symmetry is...
Why is the specific heat capacity of most solids around 25JK-1mol-1?
I remember being told ages ago that is was something to do with the theory of equipartition but I'm not really sure how that theory affects it or why it's around 25JK-1mol-1
Is it possible to revolve a function around y = x? If so how would you do it?
I suppose the main difficulty is in finding the radius for the area of a disk or cylinder. Is there any method that works will all or most functions?
Homework Statement
Volume of the region bounded by y = x^2 and x = y^2 about y = 1
Homework Equations
\pi r^2
The Attempt at a Solution
So the functions look something like this:
I decided to use method of washers with respect to x.
The radius if the center is at y = 1 of...
Homework Statement
Consider two Einstein solid A and B with N_{A} = 200 and N_{B} = 100. Suppose now that the oscillations of solids A and B are different. The energies of oscillators in solid A are measured in units of ε_{A}, so that the energy of solid A is U_{A} = q_{A} ε_{A}. Likewise...
At a local county fair, you watch as blacksmith drops a 0.050-kg iron horseshoe into a bucket containing 25.0 kg of water. If the initial temperature of the horseshoe is 450°C, and the initial temperature of the water is 23°C, what is the equilibrium temperature of the system?
Here is...
Given two ionic cores, i and j, can someone please explain what it is that's happening as the distance between them decreases? What is its significance?
Hi guys. I am old person but not very old. I have a qustion that is very important for me to be answered. How can you cut simple geometrical shapes from a irregular solid using simple methods only? By simple geometrical shapes I mean cuboid, cylinder, pyramid and sphere. stuff like that. You are...
hi there!
I have a bit stupid question:
Imagine a solid metal cylinder. We put a . Explain to me please the exact model of the direct current electric flux of the particles. Is there a "skin effect" when a direct current is in action ?
My book mentioned that SC and SH are both "Theoretical arrangement" for crystal lattices, and later posed the question "Why it doesn't happen?", however it never provided an answer.
Well, I can 'sort of' (very non-scientifically, mind you) imagine why, three stacked layers of spheres(atoms)...
Water at 0°C was placed in a dish inside a vessel maintained at low pressure by a vacuum pump. After a quantiti of water had evaporated, the remainder froze. If 9.31 g of ice at 0°C was obtained, how much liquid water must have evaporated? The heat of fusion of water is 6.01 kJ/mol and its heat...
Apparently when a "snifter" glass is placed on it's side and filled up to the tip, this volume is the optimum amount that should be poured to make a shot.
Hence i have put a glass on an axis and modeled an equation for the top half of the glass...
f(x)=...
Homework Statement
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y=x, y=0, x=2, x=4; about x=1
The Attempt at a Solution
one of the radii is x=y but I am...
Hi I'm currently writing a some software for calculating the effects of
differant grades of water on Centrifical Pump Purformance
i have be able to calculate all the apropiate Pressures, flows, viscositys, density, and pressure loss effects on the pump purformance
where I'm having trouble is...
In band theory of solids, when an electron's wave vector lies at the first brillouin zone border, it satisfies the bragg condition and there is some forbidden region for that wave vector. I like to know what happens for such these electrons that they can not have some energies in the forbidden...
Determine the number of vacancies per cm^3 needed for a BCC iron crystal to have a density of 7.87 g/cm^3. The lattice parameter of the iron is 2.866x10^-8 cm and the atomic weight of the iron is 55.847 g/mol. Given: Avogradro's number, N=6.022x10^23 atoms/mol
Help please? i have no idea how...
I was wondering, is there any equation -like young laplace equation - that relates the pressure difference to the shape of the surface on elastic solids? (interfase: solid - gas)
I know that Newtons law of cooling is useful when a solid is transferring heat to a fluid. And conduction equation is used in solids.
My question is: 1) Can Newtons law of cooling be applied in case of solids (apart from Heat conduction equation)? 2) Can Newtons law of cooling be applied in...
Imagine we have material with very low heat conductivity in which metal nanoparticles are embedded and distance between each those nanoparticles is 1 nm.When we heat one side of such material,will electrons tunnel to the colder side?Is it possible some usefull energy generate in this way?
I am trying to understand the concept of extensive solubility. Generally, solubility is supposed to be an intensive property because it is a material property independent of size, quantity, length, etc. I am having trouble finding a definition for extensive solubility though.
So far, I have...
I learned that solids conduct heat by vibrating and thus transferring the energy from one particle to another particle. However, my teacher gave us a question: two metal rods of different material are placed in a fire. one of them turns red hot at the end while the other remains silver coloured...
I am doing my revision and noticed that metals all have a molar heat capacity ~25 J/mol/K = 3R. Ionic solids such as NaCl and CaF2 however have different molar heat capacities. (~51 and 72 respectively)
Why is this? there is no explination that my lecturer gave and I can't find it online but...
Homework Statement
Find the volumes of the solids revolution obtained by rotating the region about the x-axis and the y-axis.
y=2x-x^2, y=0
The Attempt at a Solution
I know how to get the volume of a function that is rotating around one axis, but the "y=0" is confusing me. Because...