Radial Definition and 453 Threads

Homework Statement Calculate the probability that the electron in the ground state of a hydrogen atom is in the region 0 < r < 3.75a0. Homework Equations a0=.0529 nm P(r)=4(Z/a0)^3*r^2*e^(-2Zr/a0) The Attempt at a Solution I am confused because I am not sure if I am supposed...

I have picked up "Roark's Formulas for Stress and Strain" and "Mechanical Vibrations" and have been unable to reach resolution on a particular problem. I am interested in the behavior of a uniform cylindrical shell (cylinder diameter >> wall thickness) rigidly clamped at both ends wherein...

Homework Statement I need to find the momentum space function for the ground state of hydrogen (l=m=0, Z=n=1) Homework Equations \phi(\vec{p}) = \frac{1}{(2\pi\hbar)^{3/2}}\int e^{-i(\vec{p}\cdot\vec{r})/\hbar}\psi(\vec{r})d^3\vec{r}...

This is not homework, but is not general discussion, so not sure where this would go. In class we were deriving with the radial equations of a hydrogen atom, and in one of the equations was the commutator term: \left[ \frac{d}{d\rho}, \frac{1}{\rho}\right] my attempt was: \left[...

Homework Statement A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 37.5° past the lowest point on its way up, its total acceleration is (-22.5 i + 20.2 j) m/s2. The Attempt at a Solution Determine the magnitude of its radial acceleration. My...

Hi, I'm not sure this falls under the homework category, but I posted this here because I think this is more of an insight question than a question for help on how to solve the excercise (which I have). I am reading Sadiku's Elements of Electromagnetism. There is an exercise reads something...

Hi, I hope I chose the right forum for this topic. I'd like to show you an interesting property of orbiting bodies. I don't want you to solve it for me, I just thought the result is so beautiful that there must be simpler answer than just mathematically calculate it (I haven't managed to Google...

I'm looking to design a radial turbine to deliver 5 watts from compressed air (60-90psi) at 20,000 to 40,000 RPM. 30% efficiency would be suitable. I reviewed related patents-got little from them. I also reviewed my college textbooks, but they address incompressible, momentum transfer...

Homework Statement Assume that a point on an ellipse is described by the vector r=m(a\cos{\theta},b\sin{\theta}), where 0\leq m\leq 1 and that the vector is rotating in the clockwise direction at constant tangential velocity W when m=1. The problem is to find the velocity W(m). Also...

I have a u-shaped t-beam, and I am trying to calculate the radial stress where \theta=0 degrees. I have calculated \sigma\theta_{} but I am unclear on how to treat the varying thickness of the cross-section when integrating with respect to radius.

Hello, This is my problem and the solution from the book. I don't understand how they came to the solution. I believe it's wrong and I offer my own solution(but incomplete). I would appreciate if you could explain how they arrived to their solution or if I'm right. Thanks:) Please see below...

i now need to integrate the time-dependent schrodinger equation in 2D the potential is rotationally invariant and so is the initial wave function thus the symmetry of the initial wave function will be preserved in time Instead of a 2D equation, i now only need to integrate a 1d equation...

Homework Statement A 66-cm-diameter wheel accelerates uniformly about its center from 120 rpm to 260 rpm rpm in 4.9 s. Homework Equations a_t = r\alpha a_c= r\omega^2 a= a_r+a_t The Attempt at a Solution I have discovered that: \alpha = 3.0 \frac{rad}{s^2} and a_t =...

Homework Statement Compute the form factor of rho(r) = rho0 * exp[-ln2*r^2/R^2] where rho0 and R are constants. Homework Equations F(q) = 4pi/q \intsin(q*r)rho(r)rdr where the limits of integration run from 0 to \infty The Attempt at a Solution This is probably more of a...

Homework Statement [FONT="Century Gothic"]A train slows down as it rounds a sharp horizontal turn slowing from 90.0km/h to 50.0km/h in the 15.0s that it takes to round the bend. The radius of the curve is 150m. Compute the acceleration at the moment the train reaches 50.0km/her. Assume it...

Homework Statement A particle is moving clockwise in a circle of radius 2.50m at a certain instant in time its total acceleration is 15m/s^2. In the picture it shows the angle between the acceleration vector and radius is 30 degrees, and also there is a velocity vector with no value attached...

Homework Statement As a locomotive rounds a circular curve of radius 1.80 km, its speed is increasing at a rate of 0.440 m/s2. An instrument in the cab (an accelerometer) indicates that the magnitude of the locomotive's total acceleration at a particular instant is 0.680 m/s2. What is the...

I am solving the Hydrogen wavefunction using FORTRAN. Now using the Euler method, I am given a solution to match which is given by u10(r) = 1.06r*exp(-3.74r) (where unl(r) = rRnl(r) in general) which says it has a normalisation chosen to match what i should get from my code. Then I use the...

I am solving the Hydrogen wavefunction using FORTRAN. Now using the Euler method, I am given a solution to match which is given by u10(r) = 1.06r*exp(-3.74r) (where unl(r) = rRnl(r) in general) which says it has a normalisation chosen to match what i should get from my code. Then I use the...

Homework Statement This is not like a wheel where distance does not matter because a particular point will pass at the same time no matter how far down or up the wheel. In this experiment, I used a string attached to a stopper (at the top) with a washer (on the bottom). There was a glass...

In Wheeler and Taylor's 'Exploring Black Holes', on pages 3-12 and 3-13, the bookkeeper measure of radial velocity (i.e. radial velocity as measured from infinity) is derived. Basically the equation for 'Energy in Schwarzschild geometry' is established-...

I find it helpful to conceptualize radial redshift as nothing more than a longitudinal stretching out or elongation of an incoming light beam segment, as measured in the observer's rest frame. For example, a light beam segment which has been redshifted by a factor of 2 has been stretched to...

I'm doing a question on a 3D isotropic harmonic oscillator. At one point I need to find write the radial component of del^2. Lecturer has written \frac{1}{r^{2}} \frac{d}{dr} \left( r^{2} \frac{d}{dr} \right) where the del^2 used to be in the set of equations...

I'm doing a question on a 3D isotropic harmonic oscillator. At one point I need to find write the radial component of del^2. The lecturer has written 1/r^2 * d/dr * (r^2 * d/dr) I don't understand cause it looks like he hasn't actually changed anything, r^2 over r^2 ?

A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.758 of the escape speed from Earth and (b) its initial kinetic...

[b]1. The radial distribution function for the 1s orbital of the hydrogen atom is given by the equation below. Where a = the Bohr radius. What is the most probable distance from the nucleus for an electron in this orbital? [b]2. P(r) = 4r^2 (1/a)^3 exp(-2/a) [b]3. Setting dP/dr = 0...

When people appear to be getting very confused about the weird nature of black holes, I normally respond with answers based on standard black hole theory, but I sometimes feel I should also call attention to the point that some people now think that the "black hole" solutions to the...

Radial force of a rotating stick! 1. The Problem In this problem we want to learn a little bit about what is sometimes called dynamical loading. Our simple system consists of a uniform stick of length L and mass M hinged at one end. We would like to calculate the forces on the (frictionless)...

Homework Statement A Spherical potential which is 0 for 0<r<a Vo for r>a Find the condition for bound states, for the radial function with l=0 Plot the result.The Attempt at a Solution I have gotten the equation - tan(ka)=k/lambda where k is the wavenumber for the wave inside the well and...

Homework Statement A 60 cm diameter wheel accelerates uniformly about its center from 120 rpm to 300 rpm in 5s. 1) Determine its angular acceleration. 2) Determine the radial component of the linear acceleration of a point on the edge of the wheel 2s after it has started accelerating...

Homework Statement A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal and the ball is released from rest. It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible...

Consider a planet of radius 5.53X10^6 m with a rotation period of 24.3 hours. Compute the radial acceleration of a point on the surface of the planet at the equator due to its rotation about its axis. What is the Radial Acceleration. I found out that the formula for radial acceleration is...

Homework Statement Consider a planet of radius 7.31 x 10^6 m with a rotation period of 25.4 hours. Compute the radial acceleration of a point on the surface of the planet at the equator owing to its rotation about its axis. Homework Equations T = [2(pi)r]/v a_r = -[(v^2)/r] The...

Homework Statement A point on a rotating turntable 21.5 cm from the center accelerates from rest to a final speed of 0.800 m/s in 1.75 s. At t = 1.28 s, find the magnitude and direction of each of the following. Homework Equations (a) the radial acceleration (b) the tangential...

I want to know about the FORCE BETWEEN TWO ELECTROMAGNET OF RECTANGULAR CROSS-SECTION. The force due to the fluxes both direct face to face and radial seperately. Also I like to get the exact formula or the source from where I get that. Can anyone help me? pls.

Homework Statement A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to 250 km/h in a semicircular arc with a radius of 230 m. Determine the tangential and radial acceleration of the car when it is halfway through the turn, assuming constant tangential...

Homework Statement Objects that are at rest relative to Earth's surface are in circular motion due to Earth's rotation. What is the radial acceleration of a painting hanging in a museum at a latitude of ϕ = 38.9° North? (Note that the object's radial acceleration is not directed toward the...

Homework Statement A train slows down as it rounds a sharp horizontal turn slowing from 90.0 km/h to 50.0km/h in the 15 s that it takes to round the bend. The radius of the curve is 150 m. Compute the acceleration at the moment the train speed reaches 50km/h. Assume it continues to slow down...

Homework Statement In the case of a speeding particle undergoing circular motion: a) the tangential acceleration is int he direction of the velocity vector and the radial acceleration points in the direction of the position vector b)the tangential acceleration is perpendicular to the...

Homework Statement A wire OA connects the collar A and a reel located at O as shown in the picture. Knowing that the collar moves to the right at a constant speed v0, determine θ'' (the 2nd-order-derivative of θ) in term of v0, b and θ. http://www.freeimagehosting.net/uploads/3cad8b54c6.jpg...

Howdy all, I had a quick question: An example problem in my physics book (Physics for Scientists and Engineers, 6th edition, Serway and Jewett) is going over tangential and radial acceleration (it is example 4.9, if you've got a copy lying around). The question is as follows: A car...

Hello, does anyone know why for a shaft with 2 bearings A and B, why is it not good engineering practice for both bearings to support axial and radial loads? while it is better if one supports axial and radial loads while the other bearing only support radial loads.

Hi all, I am attempting to find the best Keplerian fit to the Radial velocity data vs. Time such as this plot: http://austral.as.utexas.edu/planets/hd37605/hd37605.html I was wondering whether anyone could suggest some freeware that might be able to help me out. Any information would be...

Does anyone has proof of radial momentum operator as an Hermitian operator? Thanks.

Foster and Nightingale give an equation for the proper time of a radially falling clock between any two distances. (Short Course in General Relativity, 1979, p. 128.) As they state, the equation is the "same as its Newtonian counterpart." So there are no factors representing any slowing of the...

1. Ok here is a diagram I am HAVE NO IDEA HOW THE 30 DEGREES between the W force came and the radial axis! CAN sOMEONE SHOW ME or EXPLAIN PLZZz I suck at angles! http://img171.imageshack.us/img171/9158/50446152db6.jpg [/URL] W is acting DOWN

Hi, I am taking a Data Mining course and have this problem in radial visualization. To complete this problem, we use some physics formulas, which I really do not understand. Derive formulas for radial visualization of: a. 3-dimensional samples b. 8-dimensional samples Homework Equations...

Hey guys, Been given this formula for radial acceleration, I am not sure how they derived it. I have tried but the only forumla I know is a(radial) = v^2/r A_{r} = \ddot{r} - r\dot{\theta}^{2}EDIT - should be minus not plus

Hey, Does anyone know where to find a value for the radial velocity of the Sun wrt the Earth? I've tried googling, but it always gives the radial velocity wrt the LSR. Thanks muchly!

Consider a planet of radius 5.53 106 m with a rotation period of 24.3 hours. Compute the radial acceleration of a point on the surface of the planet at the equator due to its rotation about its axis. What is the Radial Acceleration. the formula I have is (4Pi^2R/T^2)