Unit Definition and 1000 Threads

Homework Statement I am given this parametrization of the mobius band: F(s,t) = (cos(t)+s*cos(t)*cos(t/2), sin(t)+s*sin(t)*cos(t/2), s*sin(t/2)) Let F1 be F restricted to (0,2*pi) X (-1,1). Let F2 be F restricted to (-pi,pi) X (-1,1). let N1 be the unit normal field determined by F1 let...

hi everybody i need to design a temperature control unit that works in acordance to light, ie: when there is minimal light then the heating element must come on, and when there is lots of light the heating element must go off... these are the following specs of the design: -555 timer must...

Hi, I am doing a simulation of Integrated Gasification combined cycle (IGCC). At one point, i need to use Selexol solvent to remove H2S and CO2. Below are my questions, hope you could kindly help me. I am wondering is there a maximum pressure difference (between the top & bottom stage) of...

I need to obtain the mass per unit length. Is it as simple as just mass / length?

Hi, I have been told that in R^2 the unit circle {(x,y) | x^2 + y^2 = 1} is smoothly mappable to the curve {(x,y) | x^4 + y^2 = 1}. Can someone please tell me what this smooth map is between them? I can only think of using the map (x,y) --> (sqrt(x), y) if x is non-negative and (sqrt(-x), y)...

Homework Statement A sample of dry air has initial pressure p1 = 1000 hPa and temperature T1 = 300k. It undergoes a process that takes it to a new pressure p2 = 500 hPa with unchanged temperature T2 = T1. Compute the mechanical work per unit mass performed by the sample under the following...

Aluminum has a density of 2.699 g/cm3 , and the atoms are packed in a face-centered cubic crystal lattice. Find the mass of a unit cell. -----I already know the answer is 1.792*10^-22g/unit cell I have a question about how you get the answer: I know you multiply 4.480*10^-23g * 4 atoms/1...

Homework Statement Essentially I'm working out a problem and I am given \alpha = \frac{15cm\bullet m^{3}}{\mu C} and I need to get it in just terms of meters/coulombs I'm having a real tough time with weird unit conversions like this. Homework Equations 1m = 100cm 1 micro coulomb = 1 X...

How to transform Ry unit of Energy to Hartree?? Hi How to transform Ry unit of Energy to Hartree??

Three unit vectors v1 v2 and v3 are in R^n. We are told that v1 dot v2= v1 dot v3=1/2. What are the possible values of v2 dot v3. What could the angle be between the vectors v2 and v3 give example for the cases in R^2 and R^3. costheta = (x dot y)/((magnitude of x)(magnitude of y) I...

Physics Grade 12 HELP! Electricity Unit I have attached the question paper with this post Homework Statement v=2 x 10 ^ 5 m/s Volatage=250 or 500? Constants Given: Coulombs constant = 9 x 10^9 Charge of proton/electron = 1.6 x 10^-19/-1.6 x 10^-19 Proton rest mass 1.673 x 10^-27 kg...

Homework Statement Find the unut impulse response h[n] of this system y[n+1]+2y[n]=x[n] Homework Equations I have no clue on how to slove this problem, som pointers would be nice. Thx

hello, I am trying to bin the unit sphere so that each bin has approximately equal area on the sphere. I hope binning the azimuthal angle (0...2*pi) to equal bin widths. Then i need to bin the polar angle(0...pi) so that at poles(angles close to 0 and pi) bin widths are large and close to...

Homework Statement The Dirac function (unit impulse) is defined as \delta(t) = 0 where t \neq 0 the integration of d(t) between -ve inf and +ve inf is 1. Now I picture this as a rectangle with no width and infinite height. In fact I think of the width (along the x axis) as (1/inf =...

If a cubic box(all sides the same length) has a volume of 1.0 L, what is the length of each side of the box? (L= Liter) V= l x w x h or in the problem V=s^2 So I did: 1.0 L^(1\3) = s^3(^1\3) so I got each side to = .33 What I am confused about is what unit is normally...

I am just trying to understand exactly what luminosity per unit frequency is. I know that luminosity (L = 4PI(r2)(flux)) is amount of energy per unit time, but not sure what it means when it is also per unit frequency. The question has a cosmic source of 100 solar luminosity, all emitted...

Homework Statement Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2...

Here's the problem I've been having difficulty with: Find a vector with a magnitude of 1.00 that bisects the angle between the vectors 5.00i + 11.0j and 2.00i − 1.00j. Give your answer in rectangular coordinates. Someone else had posted this same question before, but the answer that was...

If I have the fractional coordinates of asymmetric unit and I know the space group of certain material, is there an easy way to generate the fractional coordinates of the atoms in the conventional unit cell?

Homework Statement I need to show that the unit step function (\Theta(s) = 0 for s<0, 1 for s>0) can be written as \Theta(s)=\frac{1}{2\pi i} \int_{-\infty}^{\infty} dx \frac{e^{ixs}}{x-i0}. Homework Equations - The Attempt at a Solution Firstly, I'm unsure about what "x-i0" actually...

Homework Statement Given that a = (-1,16,-1) and b = (-18,-15,-15), find the unit vector which is perpendicular to the plane containing a and b. There are two possible answers. Choose the answer with a positive x component. Homework Equations (a*b) = (a2*b3-a3*b2)i -...

Homework Statement An electric charge e which moves through a material of permeability μ with a velocity v, produces a magnetic field β at a point r given by: β= ((μ*e)/(4*∏))*((v*ru)/(|r|)2) where ru is a unit vector in the direction of r. Find β if v=4i+3j+3k and r=4i+7j+5k. Take...

Can polar co-ordinate system only be defined in a "background" Cartesian co-ordinate system? What I'm confused about is this: the definition of the polar unit vectors or the polar basis is in terms of the parameter theta. Now, before we go about defining our basis we need to define this theta...

Homework Statement Find a unit vector (a) parallel to and (b) normal to the graph of f(x) at the given point. Then sketch a graph of the vectors and the functions. Function: f(x)=xx Point: (3,9)Homework Equations The Attempt at a Solution...

Homework Statement Can someone please try to help me with this. I have a bcc structure and the question is ''Clearly indicate the unit translation vectors and state their value in Å. I have attached the sketch : http://img440.imageshack.us/img440/4879/picture3lh.jpg are those t1,t2,t3...

The book talks about a unit circle... 360 deg = 2(pi) rad if it wasnt a unit circle... say r = 4 would it then be 360 deg = 8(pi) rad?

Homework Statement consider the family of complex mappings: z -> Ma(z) = (z-a)/(áz-1) (a constant) (á is complex conjugate of a) Show that Ma(z) maps the unit circle to itself.Homework Equations the solution should look something like this i guess: Ma(ei*alpha) = ei*alpha The Attempt at a...

1. In an air conditioning unit fresh air at 10°C is mixed with warm air at 30°C. If the mass flowrate ratio of warm to fresh air is 1.6, estimate the temperature at which the mixed air leaves the air conditioner. State any assumptions made. and also do you always make the air standard...

Find a vector with magnitude of 1.00 that bisects the angle between the vectors 5.00i + 11.0j and 2.00i - 1.00j. Give your answer in rectangular coordinates. I'm not going to lie, I am terrible at physics and I had no idea how to solve this question, so I asked someone for help. I came out...

Homework Statement r(t)=ti+t^2j Find the velocity, speed, acceleration, unit tangent, and unit normal vectors.Homework Equations Velocity=r'(t) Speed=magnitude of r'(t) Acceleration=r''(t) Unit tangent=r'(t)/magnitude of r'(t) Unit normal=d/dt[unit tangent]/magnitude of d/dt[unit tangent]The...

Homework Statement Choose a point in the unit axis, say x.Let Y be the distance of that point and the point where thε perpendicular line crosses the unit circle. Find the density and cumulative functions of Y. Homework Equations Basic trigonometry i guess. The Attempt at a Solution...

Does anyone know the (x,y) solutions on the unit circle for 15, 75, 105, 165, 195, 255, 285, or 345 degrees?

H(x,y)=<x^2/4,y^2/9,xy> the region E is 9x^2+4y^2<=36 also wat is given is the work is counterclockwise on R=<2cost,3sint> from -pi<=t<=pi wat the questions are what is the unit tangent the outward normal vector with respect to the region E in terms of t. for the unit tangent i think its...

Hi, I'm not really understanding how to convert the piecewise heaviside into a single function. This was on our quiz and the professor didn't really explain how he got the answer. I can't get the tex to work so: f(t)= { 0, 0 <= t < 1 { (t-1) 1 <= 2 { 1, t >= 2 The answer is...

Homework Statement Calculate dhkl and vc for the (111) direction of germanium. Homework Equations dhkl=a/sqrt(h2+k2+l2) vc=unit cell volume=a1dot(a2xa3) or vc=structure form factor/density The Attempt at a Solution dhkl=a/sqrt(3) I know how to solve this, I've just...

Find Unit Vector perpendicular to the Surface, x3+zx=1 at the point P=(1,2,-1) I figures that the perpendicular vector would be, N(X)=grad(x3+zx) = (3x2+z, 0, x) N(P)= (3,0,1) Then the unit vector would be, n=N(P)/||N(P)|| n=(3/51/2,0,1/51/2) The answer i get is not the...

Homework Statement Let us define the following random walk: Start with a randomly chosen (with uniform probability) unit vector (with respect to the usual Euclidean norm) in \mathbb{R}^n and call it x^{(0)}. Now, x^{(t+1)} is generated from x^{(t)} in the following manner - randomly and...

greetings in a scalar gradient why does the unit vector has appeared?scalar gradient only represent the change in that scalar quantity along x,y and z axis.then why unit vector along x, y and z comes in picture? advanced thanks.

Homework Statement water flows into a tube with a diameter of 6.35 cm at 0.012 meters cubed per sec. it exits the nozzle with a diameter of 2.2cm at what speed? Homework Equations a = pi r squared A1V1 = A2V2 The Attempt at a Solution My question is should i convert the cm to...

The position vector is r(t)= \sqrt{2}t\bar{i}+e^{t}\bar{j}+e^{-t}\bar{k} and it is asking for the unit normal vector at the parameter which is t=0. I have tried this problem many times and I guess it is all of the simplifying that is driving me bonkers! [b]2. I know that to find the...

Homework Statement I'm trying to take the laplace transfrom of t H(t) where H(t) is the unit step function. Also, in a separate problem I get e^{-t} H(t) - e^{-t}H(t-1) and I am wondering how to manipulate it properly Homework Equations L \{ f(t-a) H(t-a) \} = e^{as}F(s) The...

Question: Show that if R is an integral domain then R^x=R[x]^x(or that the units in R[x] are precisely the units in R, but viewed as constant polynomials).

Homework Statement Homework Equations Torque is equal to the derivative of angular momentum with respect to time The Attempt at a Solution I took the derivative of each function given in parts a - d and plugged in the value for t to get my answer for the torque. I don't quite...

Homework Statement f is a polynomial with n variables (x1, x2, ... , xn) with real coefficients. Let Sn-1 = {x E Rn | x12 + x22 + ... + xn2 = 1} (n-1 unit sphere). Show that \exists b,c E Sn-1 such that m = f(b) \leq f(x) \leq f(c) \leq = M for all x E Sn-1. If f(x1, ... , xn) = a1x1 + a2x2...

Hey all, I'm working on a project where I'm trying to use the inherent dehumidification ability of air conditioners to remove moisture from a closed environment. I would like to estimate the amount of condensation (and hence moisture removal) that occurs. I don't have access to the air...

I am having a real tough time memorizing the unit circle and it's values. What would you suggest to make easier for me to remember the quadrants, square roots, and radians?

ok letsa say i have d/dt {(u(-2-t) + u(t-2)} I know that d/dt { u(t) } is q(t)... now is it correct to think that d/dt {(u(-2-t) + u(t-2)} = q(-2-t) + q(t-2) ?

I've picked up a 13.56 MHz RF generator from eBay which I plan to use for an ICP plasma project (this is what it was designed for). I need to construct an RF coil and parallel capacitor with a resonant frequency of 13.56 MHz but I also need to construct an AMU as, as I understand it, as soon...

hello there hi everybody just i have been taken my final exam for calculus one CALCULUS I there was one qeustion which i was confouse while i was reading it Set up the intgeral area of unit circle?

hello, if i have an integral like: Int( [-u(-t) + u(-t-1)] * a * dt, -Inf, +Inf)... where a is some constant.. what would be the correct initegration limits? the most important here is to determine correctly the integration limits.. if i solve the inequalities: -t > 0 => t < 0 -t-1 > 0...