Radial Definition and 453 Threads

Hello everybody... another basic question. While trying interpreting a blueprint I stumbled on RADIAL FLOAT . Do you know a definition for a Radial Float? Thnx

In textbooks or other texts that discuss electrodynamics at some point always the term 'uniform' is introduced to describe particularly simple (symmetric) charge distributions, electric fields, etc. In trying to imagine what a uniform charge distribution - which, of course, is a mathematical...

Hi, in an assignment I have to include the radial solution of the schrödinger-equation. That is, that you solve it for the radial dependence only. Now, I do get, that the force between the electron and nuclues depends only on r, but what I still don't get is why you can supress the angular...

Hi I've been working through some examples from the course material we use in physics class, but one thing keeps confusing me: What is the difference between centripetal and radial acceleration? For instance, when we have a particle traveling in a circular path, the acceleration towards...

Homework Statement Starting with \psi(r,\theta,\phi)=R(r)Y(\theta,\phi) saubstitute into the Schrodinger equation and show (using the technique of separation of variables) that R satisfies: (\frac{\hbar^2}{2m}\frac{1}{r^2}\frac{d}{dr}(r^2\frac{d}{dr})+\frac{C}{2mr^2}+V(r))R=ER(r) Homework...

Hi there, I'm trying to determine the radial component of a velocity vector in a disk. The vector doesn't (necessarily) start from the centre of the disk and can be pointed in any direction. I've attached a .pdf with the schematics - it seems like a simple problem but it has me stumped...

The 1s radial function of the wave function of H atom is: R10=2 a-3/2e-r/a ,where a = 5.29*10-11 meter but substituting a with its value,we will get R10 = 5.2*1015 *e(-1.89036*1010 r) and that is impossible if r=a and R(r)=1.9*1015 where is the problem ? What's more, the unit...

I need to calculate the radial velocity of the sun. Every time I try using Newton's Laws of Gravitation, I end up getting a value of 0.733 m/s. Apparently the actual value is 220000 m/s. Mass of Sun = 1.99 x 10^30 kg (3sf) G = 6.67 x 10^-11 Nm^2kg^-2 r = distance of Sun from galactic centre...

Homework Statement [PLAIN]http://img508.imageshack.us/img508/6861/21296472.jpg I tried to get a_rad and if i didn't make any mistake, then a_rad = 15.79 m/s. I need to find angle when the bean is at vertical equilibrium. Homework Equations a_rad= v^2/R = 4(pi)^2R/T^2...

Show that the expectation value of Lz is -2h for the radial wavefunction Y2,-2. ? Can someone do this?

Homework Statement A car is traveling with constant speed over a hill and down a hill. The radius of the curve is the same. At the top of the hill, the driver experience no normal force from the ground. The mass of the driver is 70.0kg a) calculate the value of the normalforce experienced by...

Radial Wave Function; Normalized Radial Wave Function 5. Is the brute-force method the only way to show the Equation is satisfied? By that I mean differentiating R20 once, twice, and substituting it in? I tried that earlier, but it was very nasty...

Homework Statement A ball swings in a vertical circle at the end of a rope 1.30 m long. When the ball is 36.1° past the lowest point on its way up, its total acceleration is (-22.5 i + 20.2 j) m/s2. (a) Determine the magnitude of its radial acceleration. (b) Determine the speed and velocity...

Direct current flows through curved wire with finite thickness. Will there be current in radial direction due to curvature (so to say, "charge inertia")? I suppose this radial current will be due to self-induction.

Homework Statement A particle moves with a constant angular acceleration Alpha in a circular path. The time at which the magnitude of tangential and radial accelerations are equal is a) 1/Alpha b) Sq.root Alpha c) 1/Sq.root Alpha d) Alpha Homework Equations The Attempt at a Solution...

Homework Statement A particle moves with a constant angular acceleration Alpha in a circular path. The time at which the magnitude of tangential and radial accelerations are equal is Homework Equations The Attempt at a Solution

A ball tied to the end of a string 0.5 m in length swings in a vertical circle under the influence of gravity. When the string makes an angle of 20 degrees with the vertical, the ball has a speed of 1.5 m/s. Find the tangential component of acceleration at this instant. Help! Tangential...

Homework Statement Let P be any point (except the origin) on the curve r=f(θ). If ψ is the angle between the tangent line at P and the radial line OP, show that tan(ψ)= (r/(dr/dθ)) Hint: Observe that ψ = φ - θ in the figure. Homework Equations Very few equations come to mind except y =...

Can anyone give me a picture of what the above terms mean..I know the mathematical meaning like But i want to know like how and what exactly is a radial node and an angular node ! The node of an S sub shell is easy but where are the nodes in the P and d Sub shell ? And please explain...

How do I get radial velocity of a star given a single body orbiting it in a 2-body system? I have the mass of both objects and for the second object it's eccentricity. Assume everything else is default or zero like the mean eccentricity. I compute the barycenter between the star and...

Homework Statement A small body of mass 0.51 kg is attached by a 0.52 m long cord to a pin set into the surface of a frictionless table top. The body moves in a circle on the horizontal surface with a speed of 2.1π m/s. (a) What is the magnitude of the radial acceleration of the body...

"Radial motion into an Einstein-Rosen bridge" (Poplawski) Hi everyone, this is my first post on Physicsforums. I've enjoyed lurking and learning from the knowledgeable folks here. I have a question about a paper titled: "Radial motion into an Einstein-Rosen bridge," Physics Letters B, by...

Radial distribution function -- weird result Dear all, I think I'm having trouble with my radial distribution function (RDF) calculation and would greatly appreciate it if anyone could give me some insight. I was testing my RDF calculation subroutine to get RDF for certain colloidal...

Okay, this is a really basic question. I'm just learning the basics of QM now. I can't wrap my head around the idea that the radial distribution function goes to zero as r-->0 but that the probability density as at a maximum as r-->zero. How can this be? Thanks!

This is not homework. I have problem deriving the solution for cylinder with radial symmetry given: \nabla^2U(\rho,z)=R''+\frac{1}{\rho}R'+\frac{Z''}{Z}=0 Which give \rho^2 R''+ \rho R' -k\rho^2 R=0 \hbox { and } Z''+kZ=0 With given boundary conditions U(\rho,0) = U(\rho,h) =0...

In my notes for a module on atomic and molecular physics it has this statement: "For a given n the probability density of finding e- near the nucleus decreases as l increases, because the centrifugal barrier pushes the e- out. So the low-l orbitals are called penetrating." I just want to...

Homework Statement (The S1 after the double integral is supposed to be underneath them btw, I just can't seem to do it right using LaTeX right now so bear with me please.) Suppose F is a radial force field, S1 is a sphere of radius 9 centered at the origin, and the flux integral...

Hey guys, I have a question regarding solving a radial wavefunction DE which i have written up in Mathematica and saved as a pdf http://members.iinet.net.au/~housewrk/PFpost.pdf" as I was already doing the work in MM and writing it all up again in LaTeX seemed a bit of a waste of time. If...

Homework Statement Are you supposed to write directions for the tangential and radial components of acceleration?Homework Equations The Attempt at a Solution Because they are components, I'd say no... isn't a component usually written without a vector sign, and therefore no direction? The...

Homework Statement When I'm trying to find the probability of finding an electron within a sphere of a certain radius, do i integrate the radial distribution probability function with respect to r from 0 to infinity? My book says the product of the radial distribution function times dr would...

Hello, I was trying to do this problem and then I looked at the solution manual and found something that confused me. I am having trouble distinguishing between centripetal and radial acceleration. According to the equation in the book a_r=-a_c, which kind of confuses me. Isn't a centripetal...

Had a problem on a test today where a constant radial velocity of a particle was given in radians/sec with parametric equations that defined a spiral. Later it asked if the particle was accelerating radially, linearly or a combination of the two and I put linearly only because I figured if the...

Homework Statement Find the domain of the function. h(x) = \sqrt{4 - x} + \sqrt{x^2 - 1} Homework Equations a2 - b2 = (a - b) (a + b) I think that's all... The Attempt at a Solution For starters, I know we can't have a negative number in the radical. I looked at the 2nd radical first and...

This is a very basic question, and not specific to one single homework assignment, but general to many similar types of problems. If an object is moving in a wheel (like a ferris wheel), I understand how to determine its radial acceleration. But if a problem simply asks for the objects...

Homework Statement Hi. For the question given (attachment) where does the factor of 2PI in the function for sigma come from in the first step because I don't get it in my working for the first step. Homework Equations see attachmentThe Attempt at a Solution I got sigma (without the 2PI) by...

Sorry in advance my english, I tried to translate it to english as good as I can Homework Statement When l has its maximum value, the hydrogen atom radial equation has a simple form of R(r) = Arn-1e-r/na0, where a0 is Bohr's radius. Write the respective radial schrödinger equation. Homework...

Homework Statement The solar-like star HD209458 with a mass of 1.14 solar masses exhibits radial velocity variations with a period of 3.52 days and an amplitude of 84m/s. What is the mass of its companion and what type of object is it? Homework Equations M/m = r/R = v/V [M,R,V = star, m,r,v...

The Hydrogen Atom wave function. With the substitution u(r) = r.R(r) p=kr We get a simplified version: d^2u/dp^2 = [1 - (p_0)/p + l(l + 1)/(p^2) ].u Im sure some of you have seen that before. Now, in the limit, p goes to infinity, I understand that we get u = A.exp[-p], but in...

Homework Statement "Let F be a central vector field, that is, F(x,y,z) = h(x,y,z)(x,y,z) for some smooth function h. Prove that its potential V is radial, i.e., V(x,y,z) = g(\sqrt{x^2 + y^2 + z^2}) for some smooth function g" Homework Equations Since we know that a central vector field must...

Homework Statement The ground state (lowest energy) radial wave function for an electron bound to a proton to form a hydrogen atom is given by the 1s (n=1, l=0) wave function: R10 = (2 / a3/2) exp(-r / a) where r is the distance of the electron from the proton and a is a constant. a)...

Hey everyone, I'm starting a research project for my partial differential equations course, and I've chosen to research numerical solutions to the radial form of Schrodinger's equation. From some preliminary research, I've found information on using Numerov's method, but I am really not...

This was actually an old problem I got wrong. Homework Statement ) A skateboarder rolls down a semicircular ramp (half pipe) of radius 4.0m, starting from rest at the top of the ramp (figure 1). Assuming the surface to be frictionless, calculate his radial and tangential acceleration...

Homework Statement A car in an amusement park ride rolls without friction around the rack shown in homr1.gif. It starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h[I] (in terms of [I]R[I]) such that the car...

Homework Statement Show that the radial function R_{31} is normalized.Homework Equations \frac{1}{a_{0}^{3/2}}\frac{4}{81\sqrt{6}}\left(6-\frac{r}{a_{0}}\right)\frac{r}{a_{0}}e^{-r/3a_{0}} \int^{\infty}_{0}r^{2}R_{31}*R_{31}dr=1 The Attempt at a Solution So I plugged that radial function in...

I'm getting two different radial equations depending on when I plug in the angular momentum piece. Here's the Lagrangian: L = \frac{1}{2} \mu (\dot{r}^2 + r^2 \dot{\phi}^2) - U(r) The Euler-Lagrange equation for phi gives angular momentum (conserved), which can be solved for \dot{\phi}...

Homework Statement Determine the most probable radius of an electron for a 2s hydrogenic atom. Homework Equations r*=a0/Z where a0 is Bohr radius The Attempt at a Solution Well, I know that the answer is ~5.2a0/Z. The book tells me that the most probable radius for hydrogen (EDIT - a 2s...

Homework Statement What is the relationship between the magnitude of a radial electric field and and its associated potential? Choose the correct general relationship? Homework Equations The following alternatives are given: a) E(r)= dV(r)/dr b) E(r)= V(r)/r c) E(r)= -dV(r)/dr d)...

Homework Statement Its a conceptual question: Theoretically, how does the radial force exerted on an object vary with the radius of its circular path when it is revolving: (a) at constant frequency? (b) with constant speed? Homework Equations F = mv^2/r The Attempt at a...

I have ~5.24a_o where a_o is the Bohr radius given by 5.291772E-11 m. This is my r value. But I am getting HUGE radial probability densities ~10^8! How is this possible? I thought they have to be less than 1 since it's a probability! P(r) = |rR(r)|^2 = [r^2 / (8a_o^3)] [(2-r/a_o)^2] exp(-r/a_o)

Homework Statement The Milky Way galaxy (including the sun) rotates about its center with a period of 200 million years. The sun is approx. 2 X 10^20m from the center of the galaxy. What is: A) The radial acceleration of the sun? B) What is the net gravitational force on the Sun due to other...