Rectangular Definition and 451 Threads

Homework Statement Convert the polar equation r = 2(h cos θ + k sin θ) to rectangular form and verify that it is the equation of a circle. Find the radius and the rectangular coordinates of the center of the circle. Homework Equations The Attempt at a Solution First, I...

Homework Statement Convert the polar equation to rectangular form. r=2sin(3θ) Homework Equations The Attempt at a Solution I can expand this out to r=2(\sin\theta\cos2\theta+\cos\theta\sin2\theta) multiply both sides by r...

Homework Statement In Fig a line is used to produce a short rectangular pulse of width 12ns and peak value 800V. With S-2 open. S-1 is closed to charge the line to Vdc; after charging, S-1 is opened. Then, at t = 0, S-2 is closed to discharge the line through RR and form the pulse. Find the...

40<50degrees + 20<-30 degrees, I get how to convert to rectangular, I got 43.03 + j20.64, but converting it back to polar... how exactly do you do so? The answer is 47.72<25.63degrees... my book doesn't explain it. Also with (2+j4)(3-j5)... how exactly do you tackle this sort of...

Homework Statement I'm trying to help a friend with these two questions, but given that I haven't studied this material in over a decade, it's one of the topics I cannot recall at all. Convert the following from rectangular to polar coordinates: (a) x2 + y2 = x (b) y2 = 2x...

I have a rectangular sheet of given dimensions say L wide and H high. Out of each point some variable field is flowing through given by rules as follows: Consider the top left corner of the sheet, the field is perpendicular at that point. As one moves from top left corner to the top right...

Homework Statement Find the magnetic flux of the rectangular loop. Show that \int B x dl is independent of path by calculating \oint B x dl Homework Equations The Attempt at a Solution First step was to solve for B from the wire, I did that using Biot-Savart Law for a...

Hi I want check my answer 4 - write answer in both rectangular from and polar Q in degre a ) (1 + i ) ( 2+ 2i ) b ) -2 + 2i

Hi I want check my answer if correct or not write in rectangular form 1) Z2 = 3e^(-60)i 2) z3 = 7.19e^-2.13i 3) z1 = root2 e^(-pi/2)i 4)z2 = 3e^120i 5 ) z3 = 6.49e^-2.08i ------ my answer : 1) = 3{cos (-60 ) + i sin ( -60) }...

Homework Statement A rectangular storage container with an open top is to have a volume of 10 m^3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such...

Here is the problem and the equations I feel are relevant. The instructor was not clear on whether or not R2 was moving with velocity v, but I assume so because something must be moving (I think). Can somebody give me some instruction on where to go from what I have...

Barrier potential, E> V0 V(X) = 0 ( x < 0 ) = V0 ( 0 < x < a ) = 0 ( x> a ) Psi(x)1 = Aexp[ik1x] + B exp[-ik1x] Psi(x)2 = Cexp[ik2x] + D exp[-ik2x] Psi(x)3 = Fexp[ik1x] + G exp[-ik1x] ( K3= K1 so I put k1 ) and G = 0 because there is no reflection, I used B.C...

Homework Statement A uniform rectangular coil of total mass 270 g and dimensions 1m x 5m is oriented perpendicular to a uniform 4.00-T magnetic field (the figure ). A current of 2.90 A is suddenly started in the coil. Homework Equations angular acceleration = torgue / moment of inertia...

If you have a rectangular square potential barrier of some height, say \lambda/L, and thickness L, what is the transmission coefficient and what is its value in the limit that L goes to 0? Thus you have the height of the barrier going to infinity, while the width goes to zero... Assuming...

Homework Statement There is an aXb rectangular area in the same plane as a wire with current I. The wire is parallel to side b, and a distance d away. Compute the flux through the rectangular area. Homework Equations \Phi=\intB*dA B=(\muI)/(2\pir) cylindrical coordinates...

Homework Statement Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + 4z = 4 Homework Equations Volume of a box with L being the length of a diagonal in that box = L3/(3sqrt3) Shortest...

Homework Statement Find the magnetic field of a rectangular current loop lying symmetrically on the xy-plane. Find the magnetic field at (0,0,z) Homework Equations Biot-Savart law or derived formula (Mu/4*Pi) * sin(theta2)-sin(theta1)/s The Attempt at a Solution I am NOT good...

Hey everyone, For my a research project on quantum tunneling I have to tie in math somehow, so I was wondering if anyone could help me learn to calculate the probability of a wave (preferably like an electron or electrical voltage) of some sort passing through a rectangular barrier, which is...

Rectangular Potential well if hbar --> 0 Hi, I have a very simple question: My professor said that if \hbar \rightarrow 0 in the transmission coefficient does not yield 0 (case E < V0) as classical results would expect. I think the correct transmission coefficient is solved in Wikipedia...

Homework Statement Homework Equations What is the boundary condition for a free edge of a rectangular vibrating membrane? (not plate) The Attempt at a Solution

Hi. I was wondering how to calculate I and W for rectangular and quadratic tubes. I have formulas for massive rectangular and square sections and for circular tubes. I tried to make a formula for a square tube section, based on how the formula for the circular tube looks - but I didn't get...

Hi everyone, I was questionning myself about a problem that I have surely learn in school but I want to know if it's possible to solve a division with imaginary numbers without using the polar transformation. Example: \frac{2+2i}{1-i} So with the polar tansformation we have...

Hi, I'm a physics undergraduate, and I'm having trouble understanding Atomic Physics right now. At first I thought it (the question in the title) is possible, but then I think I got confused with particle in a box. So I refer to textbooks and look for answers in the internet, and confirmed...

I got this formula for the magnetic field of a square-shaped coil: B = m0*2*sqrt(2)*I*N/(a*pi), where m0 is the permeability, and a is the side of the square... I can't really get why it is so, and my best tries resulted in approximation of the 'diameter' of the coil, for example by taking the...

I was trying to derive the formula for the moment of inertia of a rectangular prism at its centre of mass. And ended up with this...

Hi Im am trying to find out a predicted deflection of a steel rectangular beam of uniform cross section (which is 12.7mm wide x 6.4mm deep). The beam is simply supported at both ends and has a span of 660mm. The load is to be placed in the middle of the beam. I have the formula to be used...

I would appreciate any help, even a nudge in the right direction. Problem: A rectangular block of mass m was put on a triangular block of mass M. (There's a diagram for this, but imagine a right triangle, with a square on the hypotenuse, as it slides down.) Assume all friction forces can be...

Hello physicsforums members, I am an engineering student at Purdue University and am currently conducting research with regards to ribbon transducers. A ribbon transducer consists of a rectangular element of metal foil suspended within a magnetic gap (ie free at the sides) and...

Why are rectangular unit vectors constant in time whereas those of a polar coordinate or spherical coordinate system aren't?

Homework Statement Given that: Write an equivalent integral in spherical coordinates. Homework Equations (Triple integral in spherical coordinates.) (Conversions from rectangular to spherical coordinates.)(What spherical coordinates entail) The Attempt at a Solution The region...

Homework Statement Determine the dimensions of a rectangular box, open at the top, having volume 4 m3, and requiring the least amount of material for its construction. Use the second partials test. (Hint: Take advantage of the symmetry of the problem.) Homework Equations The...

Homework Statement r(u,v)=u i +v j +(1/2)v k Homework Equations The Attempt at a Solution x=u : y=v : z=(1/2)v because x=u and y=v, x & y are the parameters so r(x,y)=x+y+(1/2)y=x+(3/2)y but the answer says it is y-2z=0. What am I not seeing correctly?

Homework Statement If an electron is in an infinite rectangular prism well, with sides of length a, b, and c where c is the shortest and (b^2)*c=a^3, for what value of the d=b/c is the first excited state of the electron minimized? This isn't the complete problem but it's the part that's...

Homework Statement change from rectangle to spherical coordinate : z^2 = x^2 + y^2 I know that : z = pcos(phi) x = psin(phi)cos(theta) y = psin(phi)sin(theta) there fore z^2 = x^2 + y^2 in spherical coordinate is p^2cos(phi)^2 = (psin(phi)cos(theta))^2 +...

A horizontal hollow rectangular mild steel tube 30mm x 50mm with 4mm wall thickness and 350mm long, which is part of a frame has 2 lengths of studding 300mm long , 180mm apart and equidistant from the ends, welded to the 50mm face of the tube. A total perpendicular load of 400Kgs is...

Dear all, I am trying to solve a simple model with Comsol to find the pressure drop in a rectangular channel W=5mm, h=0.6mm, L=10mm. When i try to set the inlet velocity to 0.5m/s the solver shows the error message "Maximum number of Newton iterations reached". The solver works fine if i set...

Homework Statement Homework Equations n/a The Attempt at a Solution I set up the intgral at integral from 0 to 5 of integral from 0 to 5y of 8e^(y^2)dxdy I solved it as an iterated integral so I solved the first part, then ended up with integral from 0 to 5 of 40ye^(y^2)...

Homework Statement A uniform rectangular plate of width d, height h, and weight W is supported with its top and bottom edges horizontal. At the lower left corner there is a inge, and the upper right corner there is a cable. For what angle \theta with the vertical will the tension in the cable...

The Basis of this question is that: * Rockets launched at an angle follow the path of a rectangular hyperbola when thrust greater than their mass is produced. * That rockets fall in the path of a parabola when thrust is no longer produced, this only applies when the rocket has both x and y...

Hi guys I am currently using Comsol to model a single rectangular channel, a typical one found in a fuel cell (with symmetry boundary). Dimension of the inlet and outlet area is of the order 10e-3 and the length of the pipe is 0.1 m. I am having difficulty getting the expected result. The...

Homework Statement Draw a picture to illustrate the two-dimensional drumhead in the x-y plane. Label the coordinates of the sides of the drumhead. Use this picture to illustrate the "modes" of vibration.Homework Equations \frac{\partial^{2}Z}{\partial x^{2}} + \frac{\partial^{2}Z}{\partial...

Homework Statement The hyperbola y = 1/x in the first quadrant can be given the parametric definition (x, y) = (t, 1/t), t>0. Find the corresponding parametric form of its evolute, and sketch both curves in the region 0<x<10, 0<y<10 Homework Equations Curvature formula...

Homework Statement Hello, the problem ask you to pass this integral \displaystyle\int_{-2}^{2}\int_{-\sqrt[ ]{4-x^2}}^{\sqrt[ ]{4-x^2}}\int_{x^2+y^2}^{4} x {dz}{dy}{dx} to sphere coordinates, but I don't really know how Homework Equations Well, I know the basics formulas...

A rectangular block has dimensions 2.9cm x 3.5cm x 10.0cm. The mass of the block is 615.0 g. What are the volume and density of the block? how do you do it?

Homework Statement A rectangular loop of wire lies in the same plane as a straight wire, as shown http://i30.tinypic.com/347fupw.jpg". There is a current of 2.5 Amperes in both wires. Determine the magnitude and direction of the net force on the loop. Homework Equations Not sure. I am...

Problem: Evaluate (leave in rectangular coordinates): \int_{-1}^{{1}}}\int_{-{\sqrt{1-x^2}}}^{{\sqrt{1-x^2}}}\int_{-{\sqrt{1-x^2-y^2}}}^{{\sqrt{1-x^2-y^2}}}\ \,dz\,dy\,dx

Homework Statement Suppose you have an a x b rectangular array of distinct integers (think of it as a matrix if you would like). Now suppose we first move across the columns and take a permutation of the entries in each column. Informally, we can imagine the integers in the array as cards, and...

Hi, I have got a simple problem which makes me struggle. I have a rectangular thin conductive sheet (2D) of width w, height h and conductivity suspended in air. I would like to calculate with COMSOL/Femlab the electrical resistance between one of the corners of the conductive sheet and any...

So I know x=(r)cos(theta) and y=(r)sin(theta) As well as r^2 = x^2 + y^2 And (theta)=tan^-1 y/x or sin^-1 y/r or cos^-1 x/r If I want to convert the polar coordinates (7.6 , 285(degrees)) to rectangular coordinates, to the nearest hundredth, what would I do? And also...

Homework Statement Hey i know that we can change it by using r^2=X^2+y^2 and tan(theta)=y/x; but finding some problems in converting the area surrounded by X=0; Y=0; x+y=1; x+y=2 to polar coordinates . yr of course you can convert X=0 to theta=pi/2 and Y=0 to theta=0; But i...