Radial Definition and 453 Threads

Given we have a spherically symmetric gravitational field around a spherically symmetric body of mass M. How can I calculate the actual (geodesic) distance between two points with the same angle but at different distances from the center of the body (and field). I came immediately to think of...

Homework Statement Consider a double-star system with two stars, A and B, in circular orbits of the same period T about their center of mass. The Earth is in the plane defined by these orbits at a distance R of many light-years. Let the speed of A in its orbit be u; then at any instant it has...

I conjecture that only spherical symmetric mass distribution can produce radial gravitational force field (according Newton's law of gravitation). Can anybody prove or disprove this conjecture?

Particles having mass = m and charge = Q travel parallel to the z axis, forming a beam of radius = R and uniform charge density = p. To keep the beam focused, an external uniform electric field _{}Bo, parallel to the z axis is provided, and the beam is made to rotate with a constant, uniform...

Homework Statement This is a concept/procedure question. I am playing teth3rbalI with a 1 kilogran ball and it is tied to a meterlong string. When I hit the ball it circles the pole at 1.6 Hz. Find the anglethat the string makes with thepole. Homework Equations a_{r}=v^{2}/r...

Homework Statement A 17.00 kg lead sphere is hanging from a hook by a thin wire 3.00 m long, and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00 kg steel dart that embeds itself in the lead sphere. What must be the minimum initial speed of the dart so...

I know CRIRES is unstable right now but it should be back to full operation next year I hear. Does anyone know what it's limit of sensitivity will be for radial velcoity measurements (in m/s)?

A car speeds up as it turns from traveling due South to due East. Exactly halfway around the curve, the car's acceleration is 3.40m/s^2, 30.0º north of east. We are supposed to find the radial and tangential components of the acceleration at the halfway point. I thought that I...

Homework Statement State the Relatrionship between radial and angular acceleration. Homework Equations Well I presume the equations would be "radial acceleration = v(squared)/radius" The Attempt at a Solution I cannot find the equation for radial AND angular acceleration?? I...

A train slows down at a constant rate as it rounds a sharp circular horizontal turn. Its initial speed is not known. It takes 17.7 s to slow down from 68 km/h to 26 km/h. The radius of the curve is .184 km. As the train goes around the turn, (a) what is the magnitude to the tangential...

Homework Statement Carefully study the following plot of electric field E in N/C versus distance r in m and answer the questions that follow. The electric field is directed radially outward, and the variation of E with r is independent of direction. Refering to the figure, determine the...

So, I attached a photo of what the figure given looks like. Here is the corresponding problem: The figure represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. At this instant, find (a) the radial acceleration, (b) the...

This may seem like a silly way to second-guess an answer, but the problem below seems to have an answer entirely too easy to obtain. O_o And I doubt that I'm getting any better. An athlete rotates a 1.00-kg discus along a circular path of radius 1.06m. The maximum speed of the discus is...

a ball swings in a vertical circle at the end of a rope 1.5m long. when the ball is 26.9 degrees past the lowest point on its way up, its total acceleration is -22.5i+20.2j. at that instant (b) determine the magnitude of its radial acceleration isnt the magnitude of Ar... +20.2m/s^2 ? The...

This is from an example in a book: On a horizontal turntable that is rotating at constant angular speed, a bug is crawling outward on a radial line such that its distance from the center increases quadratically r=bt^2, \theta=\omegat where b, \omega are constants. The example then solves for...

Homework Statement Due to the modification of inner-shell electrons of a multi-electron system, the outer shell electron can feel an effective electrostatic potential as V(r)=-e^2/(4*π*eo*R)-lambda*(e^2/(4*π*eo*R^2)) ; 0<lambda≤1 Find the energy eigenvalues and wavefunctions of the...

What is the radial value for the 3rd root of the complex number 4 + -2i ?

We need to show that using the Schwarzschild metric, an incoming radial spacelike geodesic satisfies r>= 1m/(1 + E^2) I know that E = (1-2m/r) is constant, and I think that ds squared should be negative for a spacelike geodesic. I try substituting E into the metric and setting ds squared <=0...

Homework Statement Consider the electron in an atom of the heavy isotope of hydrogen, tritium. The nucleus has charge e, and, apart from a small correction due to the reduced mass effect, the electron has energies and eigenfunctions that are identical to those of an ordinary hydrogen atom...

I know the equation (\frac{v^2}{r}) but what is the description of radial acceleration? I saw couples of internet sites but I don't get it. Can someone explain it to me in a dull way and use typical examples of this? Thanks:smile:

Homework Statement A particle moves in the xy plane in a circle centered origin. At a certain instant the velocity and acceleration of the particle are 4.6j m/s and (2.3i - 2.1j) m/s^2. What are the x and y coordinates of the particle at this moment Homework Equations ar=-v^2/r The...

"(a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 15.2) to calculate the value of r for which a node exists. (b) Find the values of r for which nodes exist for the 3s wave function of the hydrogen atom." For part a, I looked at Table 15.2 and found the equation...

I'm working all alone with nobody to help me, and now I'm stuck! :( I'd really appreciate it if you could help me out. I'm working with the ground state of the one electron hydrogen atom. Trying to determine the radial dependence on probability density. It should only depend on the radial...

Question: What is the most probable distance from the proton of an electron in a 2s state? Answer: The most probable radius is where the radial probability is maximum. We are given R_{2,0}(r)=\frac{1}{(2a_0)^{3/2}}2(1-\frac{r}{2a_0})e^\frac{-r}{2a_0} so we have P(r) =...

Can anybody please explain me the difference between "centripetal" and "radial"? I get stuck in distinguishing them! centripetal force, centripetal acceleration... radial force, radial acceleration... I also don't understand why they say that "In uniform circular motion, the difference...

An unbanked circular highway curve on level ground make a turn of 90 degree. The highway carries traffic at 60 mph, and the centripetal force on a vehicle is not to exceed 1/10 of its weight. What is the minimum length of the curve in miles? I am working towards the arc contained within...

what is "radial force"? Hi. I have a HW question that asks me to find the "radial force" rerquired for someone to stay on a spinning merry-go-round. What is the radial force? thanx.

well this problem is killing me and I've spent a good 3 hours or so on it and still have no real results. This is the problem The 4.00-kg block in the figure View Figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings...

(hmm. wasnt to sure about where to post this) im given an equation to a 3d surface and asked to find the gradient at a certain point, in the radial direction. my question is, what is the radial direction? [ the equation is f(x,y) = 3*(x^2)*y + 2*y if its needed ]

Hello everyone, I have two questions about this problem: "A train slows down as it rounds a sharp horizontal turn, slowing from 90.0 km/h to 50.0 km/h in the 15. s(seconds) that it takes to round the bend. The radius of the curve is 150 m. Compute the acceleration at the moment the train...

A railway engine of mass 120 tons travels round a curve of radius 220 yards at a speed of 25 miles per hour. Find in tons weight the radial force acting on the engine. If the resultant of the radial force and the weight of the engine acts in a direction normal to the plane of the track, and the...

Sir, When a torque is applied to a body undergoing uniform circular motion, will the radial acceleration be constant?

Hello, I'm trying to understand circular motion more intimately. Let's say I have a 1.8 m long piece of twine that I attach to my ceiling and attach a rock with a mass of 650 g from the hanging end. Let's say (with my superhuman coordination) I manage to get the rock spinning in a perfectly...

Hi all! Brand new to these forums. Hopefully I fit in. I'm in my first physics class ever this semester. Physics 1301 Heat and Mechanics. I'm having a hard time keeping up with everything. I'm looking for some help with a few questions of my homework, because I'm just stuck. 1)The radius of...

Find the required angular velocity of an ultracentrifuge in \frac{rev}{min} for the radial acceleration of a point 1.00 cm from the axis to equal 400,000g (that is, 400,000 times the acceleration of gravity.) So a_{rad} = (\omega)^{2}r . 400,000g = \omega^{2}(0.01 m) . Would I just solve...

Hello, Does anyone here know how to make a radial electromagnet? I'm trying to figutr out how I would wind the coils. I want to make a doughnut magnet with a single north pole on the inside diameter and a south pole on the outside diameter. It will be critical that the field on the inside...

a)Compute hte radial accleration of a point at the equator of the earth. b)repeat for the north pole of hte earth. Take the radius of the eartk to be 6370 km. so for a) i got 9.9337 m/s square which is right but for b) the answer is just zero why?

A train slows down as it rounds a sharp horizontal turn, slowing from 90.0 km/h to 50.0 km/h in the 15.0 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 50.0 km/h. Assume it continues to slow down at this time at...

I missed this class the other day and my prof isn't answering his email right now so I thought I'd ask it here. I want the answer to the question, but really I'm looking for the relationship between the values. Q: A star located 135 degrees from the solar apex on the celestial spehe is at...

looks like a fun problem, just got to understand it: A 500g block slides down a radial track with height of 1.0 m, it's radius is 1.0 m, with velocity of 4 m/s at the end of the track. what is the loss of the TME? Disipation of energy problem: TMEf - TMEo F * D = K.E.f + P.E.f - (K.E.o...

what is the name of the curve where its radial vector drawn from the origin intersects the curves tangent line at a=3pi/4 or 135 degree at every point? can anybody even show me how the curve looks like or what is the general eqaution of this curve? thanks

I am told that <f|pr,g>=<prf|g> where pr is the operator for radial momentum and f and g are wavefunctions. I know how to calculate <prf|g>, but I am not sure how to treat the comma in <f|pr,g>. Anyone have an answer to this?

What are the limitations on the radial wavefunction for electron in an atom? For instance, of the following, which cannot be the radial wave function, and why? 1.) e^{-r} 2.) \sin(br) 3.) \frac{1}{r} Thanks!

Something we did in electrostatics that's a source of confusion for me: We learned to use caution when taking the divergence of the (all important) radial vector field: \vec{v} = \frac{1}{r^2} \hat{r} Applying the formula in spherical coords gave zero...a perplexing result. The...

Need help on radial distribution on excel! I'm trying to create an excel spreadsheet that plots radial distribution functions for the 3s orbital of hydrogen for values of p=0...15 I have no idea where to begin

This problem is pretty complicated, and I have fooled around with it in Maple but I don't understand the concepts well enough to work it out yet. Suppose we have a simple hyperbolic orbit where there is a central mass M and a smaller mass m, and there is more than enough energy in this system...

Please help! I'm having trouble understanding this rotation problem. At a time 2.60 s, a point on the rim of a wheel with a radius of 0.240 m has a tangential speed of 50.0 m/s. as the wheel slows down with a tangential acceleration of constant magnitude 10.7m/s^2 . At what time will the...

I need to find the radial acceleartion of the Earth @ the equator a=v^2/r a= [1041m/s)^2]/6378000m a= 0.17 m/s^2 is this correct?

I need to calculate the radial acceleration of Earth @ the equator a=v^2/r a= [1041m/s)^2]/6378m a= 169.9 m/s^2 is this correct?

I wanted to konw what is the least amount of knowns you need to solve a radial acceleration problem? My friend told me he was given a problem where a care was traveling over a bump and the only known he had was the speed of the care, no radious, no nothing. And the question was to solve for...