Radial Definition and 453 Threads

Hi perhaps someone can point me in the correct direction. If I have an Octagon and the co-ordinates of two points on separate faces, example, face 1 (xo,yo) and face 2 (x1,y1). And I draw a straight line connecting the two points. How can I calculate the radial distance to the midpoint of...

According to my textbook, in the derivation for the effective potential U_{eff}, starting with the Lagrangian L = \frac{1}{2}\mu(\dot r^2 +r^2\dot\phi^2) -V(r), substituting into Lagrange's equation gives \mu\ddot r = -\frac{\partial V}{\partial r} + \frac{l^2}{\mu r^3} =...

Hi, I'm trying to work out how much strain potential I can produce in a cylinder but I want to know how much is stored for any specific part of the cylinder. The problem then is this: I have a cylinder of original dimensions r and h, where h is the original height and r is the radius. It is...

This is a hard one to describe and I couldn't think of a better tittle, sorry. My aim has been for a while to create a mechanism which allows me to move an object (i.e a washer or something) in or out radially along a spoke of a wheel. However I have some restrictions which have made me scrap...

Hi, I'm building a toy and I'd like it to spin around a vertical shaft but also move freely up and down while it is rotating. Also, I'd like that the rotating body will get spinned using a gear which will be positioned in a fixed location on the shaft (at the bottom) while the rotating body...

Hi, I am doing design calculations for a Variable Pitch Propeller and I have to calculate bearing life. A deep groove ball bearing is used for a mainshaft (driveshaft). And the mainshaft is connected to the propeller hub. I know the basic formula for calculating the bearing life but I am having...

i have a question, why is the plot of r2(Ψ2p)2 not a good representation of the probability of finding an electron at a distance r from the nucleus in a 2p orbital

I understand that if there is a body in a circular orbit around the Earth (or any other thing), and there is an impulse directed radially out away from the Earth against the orbiting body, the body will end up in an elliptical orbit, which will pass through the original circular orbit. This got...

so for uniform charge densities, a point "r" from the center of a ring of charge has an E ∝ 1/r^2 a point "r" from center of a long line of charge has an E ∝ 1/r and for an infinite plane, a point "r" from it where r<<length of plane has E not dependent on r my question was why is it that...

Homework Statement A horizontal turntable rotates at a constant rate ω about a fixed vertical axis through its center O. A particle of mass m can slide in a fictionless circular groove of radius r centered at O' which is r/3 from O. What is the radial acceleration of m in direction O'm...

Hello people ! Hope you are fine! I tried to find the inner product that u can see below, between two different radial functions. I was expecting to find zero but i found something nonzero. You can see my two questions below in the photo.

If we provide a satellite with escape velocity perpendicular to the earth(radially), would it start orbiting it?

As any RF engineer knows the radial antenna is something pure theoretical. But as someone who loves physics an idea came to my mind. Please tell me if this would work and if not, why does it fail to work. So: Assuming we have an atom with 8 valence electrons which is hit with 8 photons with...

Homework Statement A point on a rotating turntable 20.0cm from the center accelerates from rest to final speed of 0.700m/s in 1.75s. At t=1.25s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, (c) the total acceleration of the point. Homework...

Hey there, I used Mathematica to find the (non-normalised) wave function of an electron in the vicinity of a Hydrogen nucleus, and converted the answer from one involving Whittaker functions to one involving generalised Laguerre polynomials. My result is shown below: This agrees with the...

Homework Statement Show that in terms of the dimensionless variable ##\xi## the radial equation becomes ##\frac{\mathrm{d}^{2} u}{\mathrm{d} \xi^{2}}=(\frac{l(l+1)}{\xi^{2}}-\frac{2}{\xi}-K)u## Homework Equations ##u(r)\equiv rR(r)## ##\xi \equiv \sqrt{2\mu U_{0}}\frac{r}{\hbar}##...

3d Fourier transform of function which has only radial dependence ##f(r)##. Many authors in that case define \vec{k} \cdot \vec{r}=|\vec{k}||\vec{r}|\cos\theta where ##\theta## is angle in spherical polar coordinates. So \frac{1}{(2\pi)^3}\int\int_{V}\int e^{-i \vec{k} \cdot...

Hi, I've been considering the design of a fan that sucks air radially and blows axially to resolve a technical problem of a machine. I've looked around for the equations governing the air particles and the angle of the radial blades (angle between a flat blade and a radial line) of the fans, but...

Homework Statement Show that the component of the jerk along the line of centres of two gravitating bodies has magnitude 2G(m1+m2)r(dot)/r3. Homework Equations (Eq. 1) r(double dot) = - G(m1+m2)r(hat)/r2 (acceleration of body 2 relative to body 1) The Attempt at a Solution Sorry for the...

Hi i was wondering if a cylinder has hoop stresses, radial stresses and axial stress would that be multiaxial stresses? Thank you

Homework Statement a satellite is in a circular orbit a distance $h$ above the surface of the Earth with speed $v_0$, booster rockets are fired which double the speed of the satellite without changing the direction. Find the subsequent orbit. Homework Equations The Attempt at a Solution Before...

Assuming a neutron star is a uniformly dense sphere of radius 10km and mass =1.4 mass of sun, derive the period of radial oscillations.First use hydrostatic equilibrium to calculate p, then the velocity of sound is $$v= \sqrt{ \gamma p / \rho}$$, so the period of pulsation is time it takes from...

This is a series of question that appear to become more and more vague, the last part has me stumped. 1. Homework Statement A) I have an electric motor that produces 0.4 HP of shaft power at a speed of 2800rpm. What will the gearbox speed and torque be on the output of a 1:5 (in : out)...

I'm evaluating whether indirectly mounted Tapered Roller Bearings (http://goo.gl/FpOEri) are suitable to withstand a given radial and axial loads in both static and dynamic application. I've managed to find the required dynamic load rating C_90 (or C_10) with the help of the book "Mechanical...

Sorry if this was addressed in another thread, but I couldn't find a discussion of it in a preliminary search. If it is discussed elsewhere, I'll appreciate being directed to it. Okay, well here's my question. If I take the divergence of the unit radial vector field, I get the result: \vec...

I am currently designing a whole-core for small PWR. I am calculating core life (years) vs. FdH and RFF. What is the difference between "Enthalpy rise hot channel factor (FdH)" and "Radial form factor (RFF)"? I have calculated "CHANNEL FDH" which is same as "RFF". Do I have to try "CHANNEL...

I searched galaxies and their radial velocities in online but I found nothing can you give me a list about them. Thanks

Consider the radial differential equation ##\bigg( - \frac{d^2}{dr^2} + \frac{(l+\frac{d-3}{2})(l+\frac{d-1}{2})}{r^2} + V(r) + m^2 \bigg) \phi_l (r) = \lambda\ \phi_l (r)##, which I've obtained by solving the Schrodinger equation in ##d## dimensions using the method of separation of...

Homework Statement The cosmoclock 21 Ferris Wheel in Yokohama City, Japan, has a diameter of 100m. Its name comes from its 60 arms, each of which can function as a second hand (so it makes one revolution every 60.0s). a) Find the speed of the passengers when the Ferris wheel is rotating at...

In some books the radial distribution function is defined as 4pi*r^2*R(r)^2 and in others as r^2*R(r)^2. Thus, a factor of 4pi is differing. Which expression is correct and why?

Hello, I have a question which I'm having hard time solving, Homework Statement A ride at the amusement park consists of a large, vertical drum in which people stand with their backs to the wall. The drum begins to rotate and eventually the people stick to the wall due to the acceleration –...

Homework Statement Show that the radial eigenfunction unr,l is a solution of the differential equation: ħ2/2me×d2unr,l/dr2+[l(l+1)ħ2/2mer2 - e2/4πε0r]unr,l=Enr,lunr,lHomework Equations The radial function is R(r)=u(r)/r, so that the expression on the RHS is E×u. The Attempt at a Solution I know...

Homework Statement [/B] A horizontal force, ##F##, is applied to a cylinder of mass ##M## and radius ##R## (the line of action of ##F## goes through the center) in order for the cylinder to climb over a step of height ##R/2##. 1) Find the torque around ##A## and find force ##F## as a...

How do I sketch the radial distribution of a $3d_{x^2-y^2}$ orbital? :D

I'm just trying to think how I would expect radial acceleration to look like in a pendulum. I would expect a sine wave of sorts but instead of oscillating around zero I would expect it to be around a positive number as this acceleration is always in the same direction. Also if I was to compare...

< Mentor Note -- Thread moved from the General Physics forum to HH > A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9 degrees past the lowest point on its way up, its total acceleration is (-22.5i + 20.2j) m/s^2. For that instant, (a)...

I'm trying to work out the free body diagram for a router tool (which is basically used to cut wood sideways and create grooves and interesting shapes). I need to work out the free body diagram in order to find out the bearing load but I'm having difficulty with the aforesaid. The shaft that...

Homework Statement A particle is traveling on a circle with a radius R. The particle's radial acceleration is given as: a_r=At^4 At time t=0 the particle is at (R,0) . A. Find the distance that the particle has traveled as a function of time S(t) . B. Display the particle's acceleration...

Homework Statement I know this question has been asked before, but I am looking for a different kind of answer than the other poster. Bear with me here. Problem: For a hydrogen atom in the ground state, what is the probability to find the electron between the Bohr radius a0 and (1.01)a0...

Homework Statement In certain hydrodynamic flows the velocity of a liquid is given by v = -grad φ, where φ is referred to as the velocity potential. The potential given by: 'equation' corresponds to flow around a solid sphere of radius a. U is a constant. Determine the velocity of the...

Homework Statement Image: http://puu.sh/ca93V/7eb9abf342.png Homework Equations Ok I know to use this guy http://puu.sh/ca95c/ad0155a4d6.png Which then turns into this http://puu.sh/ca96W/68802e045c.png (except from .5a to 4a, not 0 to a)The Attempt at a Solution I get lost on trying...

How do we detect if there is more than 1 exoplanet orbiting a star using radial velocity method? I read this but I didnt understand it. Can someone explain the answer in Laymans terms? "Multiple planets will cause a stars radial velocity curve to show two periods: a long gradual change due...

I have a big confusion. There is a question in my book which basically says that a ball is tied to a string and rotated. and it asks me to tell whether the following statement is true of false. Direction of radial acceleration MAY remain the same. This statement is true. Please explain to me a...

I have been told that if the line connects breaker to breaker, it is considered to be radial; but, this doesn't make sense to me. If a line is connected by two feeders then there would be two sources of power, hence "Radial". I'm not sure if I'm missing some minute detail that makes the whole...

The lecturer did not explain this for some reason. Assuming that we have a gass where all the particles have a certain absolute velocity v. Directions of v vector are random though, giving velocity vector a uniform direction distribution. That means that a velocity vector of any random...

hi, What is the difference between radial polarization and optical vortex? thx http://en.wikipedia.org/wiki/Radial_polarization http://en.wikipedia.org/wiki/Optical_vortex http://en.wikipedia.org/wiki/Angular_momentum_of_light http://en.wikipedia.org/wiki/Orbital_angular_momentum_of_light...

This problem came up after drawing a line on the spinning rotor of a food processor. I was idly musing about relativity (parallel motion and perpendicular motion). Maybe some ancient mathematician found the solution while working clay on their potting wheel! Here it is: A flat disk rotates...

Basically I am trying to lorentz transform the magnetic field along θ of a bunch particles which have a gaussian distribution to the radial electric field. However the magnetic field in θ is dependent on the longitiudinal distribution. Now initially i thought we would just use the standard LT...

Homework Statement Find the polar equation of the orbit of an isotropic harmonic oscillator by solving the differential equation \frac{J^{2}}{2M}(\frac{dv}{dθ})^{2}\frac{1}{v} + \frac{J^{2}}{2M}v + V(r) = E. And verify that it is an ellipse with centre at the origin. Homework Equations...

Radial Distance In class, I measured the field strength of a toroidal coil at various distances. I used a linear track to move the hall probe along the azimuthal field at certain positions. How do i convert the distance into radial distance if the inner conductor is at radius 2.5 cm?