Radial Definition and 453 Threads

Homework Statement Normalization of radial Laguerre-Gauss Normalize \Psi _n (r) = h_n L_n (2\pi r^2) e^{-\pi r^2} Homework Equations \int _0 ^{\infty} e^{-x} \, x^k \, L_n ^{(k)} (x) \, L_m ^{(k)} (x) dx = \frac{(n+k)!}{n!} \delta _{m,n} The Attempt at a Solution 1 = \int...

The period of the rotation of an airplanes ellipse is T=3 milliseconds,linear speed in the top is 3*10^3 m/s.What's the centripetal(radial) acceleration of the top?I need a step by step guide it would be really helpful.Thanks.

Homework Statement In case the numbers are hard to read: Mass of the cart- .5g Initial Velocity- 1.5 m/s The height of the first hill is 2. Radius of the circle- .09m I need to find velocity (final, i think) force(s) on the cart at point A the magnitude of the force(s) at point...

Anyone know how to use the temperature gradient in a thick-walled tube to calculate the stress seen throughout the wall (radial stress gradient)? I've been scouring the internet for a good explanation but haven't found one.

Homework Statement Show that radial components of the continuum electron wave function satisfies the radial equation: {\left[\frac{-\hbar }{2m}\frac{1}{r^2}\frac{\partial }{\partial r}\left(r^2\frac{\partial }{\partial r}\right)+\frac{\hbar ^2l(l+1)}{2m r^2}-\frac{Z e^2}{r}\right]R=E R}...

Homework Statement Calculate the partial derivatives (∂f/∂x & ∂f/∂y) Homework EquationsThe Attempt at a Solution really confusing me with the use of the summation and power to 3/2. This is my attempt, most definitely wrong but still tried. ∂f/∂x = x + c1*(2*(x-x1))*([( x-x1 )^2 +...

Hi Please help me understand how charge flows in this case: There are 2 concentric cylinders, the outer one is hollow but the inner one is solid. The space between them is filled with a material of high resistivity. Now an electric circuit with voltage V is connected to the cylinder's...

Homework Statement A car is traveling through a valley at a constant speed, though not a constant velocity and (I believe) it is at the bottom. If the car's speed is 25 m/s, its mass is 1200 kg and the radius of the valley (r) is 25 meters, Use your force diagram to create a Fnet=ma equation...

When a stars radial velocity is measured in search for a planet, the planet imparts a radial velocity shift proportional to m\sin i\text{ where }i is the orbital inclination of the planet with respect to our line of sight and m is the planet mass. I've heard that even though the inclinations are...

Homework Statement Im confused about something. Ill post the answer sheet to a question. It has all the data you need. BELOW: NOW... for Tangential component of the acceleration, WHY did they pick cos? and for Radial, WHY did they pick sin? I am starting to do a lot of FBD to equations...

Homework Statement A horse located 8.0m from the central axis of a rotating carousel moves at a speed of 6.0 m/s. The horse is at a fixed height (it does not move up or down). What is the net force acting on a child seated on this horse? The child weight is 130N. Homework Equations...

Assuming that the accretion disk has been totally consumed by the black hole, does the temperature of the black hole due to Hawking radiation vary with respect with proximity with the black hole? For example, if I were next to the black hole, would this radiation would have a higher temperature...

I am trying to formulate an integral representing Tau between two r-values for radial motion in the Schwarzschild solution. There are a few possibilities: 1. Free fall from infinity with zero initial local velocity (v0=0 and r0 -> infinity) 2. Free fall from infinity with a given local...

The wavefunction of hydrogen is given by \psi_{nlm}(r, \theta, \phi) = R_{nl}(r)Y_{lm}(\theta, \phi) If I am only given the radial part, and asked to find the expectation value of the radial part I integrate the square of the wavefunction multiplied by r cubed allowing r to range from 0 to...

1. A Ball is in a frictionles tube that is rotating with a constant angular velocity \omega. The ball is initially held in place a distance r0 from the pivot by a string which breaks at t=0. If the radial coordinate of the ball from the origin is r(t), find r(t). I am having a very hard to...

Homework Statement In a neutral hydrogen atom, the electronic ground state 1s, and excited state 2s, are given by wave functions ψ1s = 1/π1/2 1/a3/2 e-r/a ψ2s = 1/(32π)1/2 (2-r/a)2 e-r/(2a) where "r" is the radial distance to the nucleus, and "a" is the Bohr radius. Write a C++ program...

Having trouble calculating Radial and Tangential aspects of a cars acceleration...! Homework Statement Here, I will just post the question as an image. Never mind the one where I have to sketch, but b and c I am having trouble with. How do you calculate the radial and tangential...

Homework Statement Here, I will just post the question as an image. Never mind the one where I have to sketch, but b and c I am having trouble with. How do you calculate the radial and tangential aspects of the cars acceleration? and from that info, how do I calculate the radius...

Homework Statement A particle moves in a plane with constant radial r=4m/s. The angular velocity is constant and has magnitude \Theta=2rad/s. When the particle is 3m from the origin, find the magnitude of the velocity and the acceleration. Homework Equations The Attempt at a...

I'm trying to plot the radial probability function for a hydrogen atom. I have the function itself (Psi2*4*pi*r2) my problem is that when I plot the function with angstroms on the x-axis, the y-values are larger than they should be (they look about right if I divide them by the bohr radius in...

I'm trying to plot the radial probability function for a hydrogen atom. I have the function itself (Psi2*4*pi*r2) my problem is that when I plot the function with angstroms on the x-axis, the y-values are larger than they should be (they look about right if I divide them by the bohr radius in...

Homework Statement This shouldn't be so hard to do I guess, but I just cannot figure it out. The problem statement: Prove that the special form of the discrete Laplacian operator in radial coordinates acting on a grid function u_{l,m} at the central grid point l=0, m=0, given by...

My geometry is bit complex. I want to make a heat transfer model based on FDM in the radial direction. But it has become very difficult to discretize the domain because of multiple materials. As the segments are symmetric, I want to model the heat transfer in one segment. My schematic is given...

Homework Statement How are the number of intermediate radial nodes in a bound state wave function related to the degree of excitation? Homework Equations N/A The Attempt at a Solution Here's what I've come up with; however I think I'm missing something or perhaps not being...

Imagine you have a cylindrical plug of plastic that you press fit into a hole. I need to determine the raidal pressure, radial stress, that the plug exerts on the wall of the cylinder. Here is what I have so far. Lateral Strain = (d_initial - d_final) / d_initial\ From what I...

One of the textbooks I've stumbled across states that the radial resistance of a coaxial cable ( current running from inner cylinder to outer cylinder via silicon in between) is given byR = [resistivity * natural log of (b/a)] / [2*pi()*(length of cable)] where b is the outer radii and a is the...

Homework Statement Well, I'm not sure if this is a correct subforum to post my problem, but to me it does seem to me as an academic problem. One I can not solve, apparently. Well, anyway. I'm solving the 1+1 radial wave equation using finite difference. I shifted my grid, so that the origin...

I was wondering, does anyone have any images that show the difference between the radial distribution functions for hcp and fcc lattices? I would be useful for reference purposes.

The following diagram and approach illustrates my recent thinking and revisiting on some of the calculations for the radial tidal forces and perhaps even the "force" during a flyby. Suppose we consider a series of geodesics , all flying by our massive object M, at points a, b, c,...z on a...

What do "radial bearing" and "pressure bearing" mean in physics? (This is NOT a homework question) I am told that this board is supported by two bearings: Radial bearing C, and pressure bearing O. Then they write something I can't even begin to translate, it looks as though it's written in...

Homework Statement Given the following stream function: ψ=C(sin(theta)/r) Find the radial and tangential velocity components. Homework Equations ? Don't know any The Attempt at a Solution Absolutely no idea how to even begin. Do I take the integral or something? Any help...

Hi, i am running a hard disks molecular dynamics simulation. I would like to compare the radial distribution function obtained from my simulation with the theoretical radial distribution function. May i know what is the theoretical radial distribution function? Or what data do people normally...

In uniform circular motion, Is radial acceleration and centripetal acceleration the same thing? Just a vector pointing towards the center? i.e. a synonym?

Hi there, I'm really ashamed of doing this stupid question but I really need help with this thing. And, even if it's simple, it's not homework. I have a point P=(x,y,z) with velocity v=(vx,vy,vz) how can I determine the radial component of the velocity? My answer is that...

[b]1. A particle of mass m and angular moment L moves in a central force V=(1/2)kr^2 (k>0). Find the period of revolution for the circular movement and the period of small radial oscillations around the stable cicular orbit. Homework Equations The Attempt at a Solution Well I tried...

So I've seen radial equations for Hydrogen out there (eg http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hydrad.html), where can I find one for more any arbitrary atom? admitedly, I realize that the equations become more and more complicated the larger the atom is. This is especially...

Homework Statement From a point P, within a circle whose centre is fixed straight lines PA1, PA2, PA3 and PA4 are drawn to meet the circumference all being equally inclined to the radius through P; show that if these lines represent forces radiating from P, their resultant is independent of...

If for example someone is walking along a radial line of a spinning disc at constant velocity would they experience a different centripetal force than if they were standing still at that particular location (I know the person would experience jerk while moving along, but would they experience a...

Homework Statement A particle with mass 10kg starts from rest at r = 10 and θ=0 radians, following the trajectory given by r=10-2t , θ=0.2t. Find the radial and angular components and of the force, as functions of time, that will cause this motion Homework Equations I am unsure what...

Homework Statement http://img26.imageshack.us/i/1113001.jpg/ #11 Homework Equations C = 2πr w=fd The Attempt at a Solution it travels from point 1 to 2 so its half a circle so the distance is πR. πRF = w so i would guess its D. but the answer is A) zero. i do not know why...

Homework Statement The potential energy of a system of two particles is inversely proportional to their separation, d. Find an expression for the radial force that each particle exerts on the other. Homework Equations The Attempt at a Solution I'm really stuck on this one guys...

I just came across the term, and was hoping someone could tell me what they are and any general form of them. Thank you!

Hello Everyone, While trying to find the Newtonian limit to radial geodesic I was able to find that \frac{d^2r}{d\tau^2}=\frac{GM}{r^2} In the weak field limit we can naively replace \tau by "t" and recover Newtons Law, this though does not sound very rigorous. Can some-one suggest a...

We consider the geodesic equation: (1): \frac{ d^2 x^\alpha}{ d \tau^2} = - {{\Gamma}^{\alpha}}_{\beta \gamma} \frac{d x^{\beta}}{d{\tau}} \frac{d x^{\gamma}}{d {\tau}} For radial motion in Schwarzschild geometry (2): \frac{d^2 r}{d \tau^2} = - {M / {r^2}} { (1 - {{2M} {/}...

Homework Statement The spectrum of a quasar with a redshift of 0.20 contains two sets of absorption lines, redshifted by 0.15 and 0.155, respectively. If h0 = 70 km/s/Mpc, estimate the distance between the intervening galaxies responsible for the two sets of lines. Homework Equations H0= 70...

Hi, I have a problem with this problem.. The figure (in the attachment) shows a bird's-eye view of a car going around a highway curve. As the car moves from point 1 to point 2, its speed doubles. Which vector shows the direction of the car's average acceleration between these two points...

Prove Radial Fields are conservative... and at the origin. 1. Homework Statement Prove the radial field F = r / |r|^p is conservative on any region not containing the origin. For what values of p is F conservative on a region that contains the origin? 2. Homework Equations v x F = 0...

Hi, I have a solid cylinder to which I have strain gauges attached to measure axial and circumferential strains. My goal is to relate the circumferential strain to radial strain and then to calculate possion's ratio. Every time I try to work out the geometry of the problem I end up saying...

Knowing that the diameter of the Earth at the equator is 12 740 km, compute the radial acceleration of a point on the surface of the Earth at the equator, due to the rotation of the Earth about its axis.

Homework Statement At time t, a comet has the position R = (t2-1)i + 2tj At t = 2, find the radial and circumferential components of velocity and acceleration Homework Equations Vr = V * Ur Vθ = V * Uθ ar = a * Ur aθ = a * Uθ Ur = cosθ i + sinθ j Uθ = -sinθ i + cosθ j...