Uniform Definition and 1000 Threads

1. At a distance of 25km from the eye of a hurricane, the wind is moving at 180km/h in a circle. What is the magnitude of the centripetal acceleration, in meters per second squared, of the particles that make up the wind? Homework Equations Ac=V^2/r = 4∏^2r/T^2 = 4∏^2rf^2 The Attempt...

Homework Statement A uniform solid disk of radius R and mass M is free to rotate on a frictionless pivot through a point on its rim (see figure below). The disk is released from rest in the position shown by the copper-colored circle. (a) What is the speed of its center of mass when...

Homework Statement This is supposed to be a simple problem that shows that light bends or gets pulled in a gravitational field. A light pulse emitted in the positive x direction travels 10 s in a uniform gravitational field of 100 m/s^2. the gravitational field points in the negative y...

Homework Statement Question: A 3.45 kg object is attached to a vertical rod by two strings as in Figure P6.11. The object rotates in a horizontal circle at constant speed 5.65 m/s. What are the tensions of the two strings, individually? Variables: m = 3.45kg length of both strings...

b]1. Homework Statement [/b] An object was displaced 19.6 m east while uniformly accelerating from rest. If the average velocity of the object was 5.00 m/s east, what was the rate of acceleration? Homework Equations The Attempt at a Solution So my Vo=0 Vf= 5.00m/s east x=19.6m...

Homework Statement A uniform ladder of length L and mass M has one end on a smooth horizontal floor and teh other end against a smooth vertical wall. The ladder is initially at rest in a vertical plane perpendicular to the wall and makes an angle \theta0 with the horizontal. (a) Write down the...

Homework Statement What is the acceleration (in m/s^2) of a 10 kg mass moving with speed 2 m/s in uniform circular motion about a circle of radius 2m? Homework Equations F=ma a=v^2/r in uniform circular motion The Attempt at a Solution Seems simple enough. To find the...

suppose we have many dots on a unit n-sphere i suspect that they satisfy the uniform distribution but how to verify this?

Homework Statement A child pushes his friend in a wagon along a horizontal road and then let's go. The wagon rolls for 10.0 seconds before stopping. It travels a distance of 20.0cm during the last 1.00s of its motion. Assuming uniform acceleration, (a) How fast was the wagon traveling at the...

Homework Statement A car accelerates uniformly from rest to a speed of 23.2 km/h in 5.4s. Find the distance it travels during this time. Answer in units of m. Homework Equations \Deltax = 1/2(vi + vf)t vf = vi + at vf2 = vi2 + 1/2 at2 The Attempt at a Solution I have used...

Homework Statement A small 10.0-g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 60.0g and is 90cm in length...

I am in an error analysis class and our homework has asked us this (we will be writing a computer program to do this): "Create a sample with 396 draws from a Poisson distribution with N=1000 and 4 draws from the uniform distribution between 0 and 105. This sample represents data from a CCD...

Homework Statement Hello new user here. I'm utterly confused about uniform acceleration as my book does a very poor job (in my opinion) of explaining it. Could somebody please help me with this problem? A spaceship far from any star or planet experiences uniform acceleration from 65.0m/s to...

Homework Statement car travels in a flat circle of radius r. at certain point instantaeous velocity is 24 m/s west and the total acceleration is 2.5 m/s2 53 degrees north of west. find radial and tangential acceleration. and periodHomework Equations ar= 2.5cos37 at=2.5sin37 r=24 x 24/ar T=...

Hi, Is there any way to analytically calculate the perturbation of a uniform electrostatic field by a dielectric cube. I know a solution exists for dielectric spheres but I haven't been able to come across the solution, when dealing with a cube. Ohh.. and I'm assuming the simplest case...

X is a uniformly distributed random variable on a [-1, 1] range. (i.e. X is U(-1, 1)) Find the distribution of e^2X: I feel like it has something to do with the uniform's relation to exponential function, but i get stuck. I begin by using inverse transform: Fy(y) = Fx[ln(y)/2] fy(y)...

Homework Statement This is more of a general question but it is part of my physics course so i decided to post here, I am sure many of you have done this lab but what it is is a cart with tickertape attached to it going down a ramp, once we plot a d-t graph there are lots of application...

i need to prove that \frac{1}{\sqrt{x}} is not uniformly continues in (0,1) for epsilon=0.5 |\frac{1}{\sqrt{x}}-\frac{1}{\sqrt{y}}|=|]\frac{\sqrt{y}-\sqrt{x}}{\sqrt{xy}}\frac{\sqrt{y}+\sqrt{x}}{\sqrt {y}+\sqrt{x}}|=|\frac{y-x}{(\sqrt{y}-\sqrt{x})\sqrt{xy}}|...

Homework Statement Electric dipole makes small angle with uniform electric field. Find the frequency of the oscillation using dipole moment p, moment of inertia I, and field magnitude E. Homework Equations Torque=I*(angular acceleration)=I*(theta)'' Torque=p*E*sin(theta) The...

I'm not sure this is the right thread to post my problem : I'm trying to define a uniform distribution on the toroidal surface associated to a dipolar magnetic field (or electric). More specifically, the surface (in 3D euclidian space) is parametrised as this, using the usual polar...

Homework Statement An electron with speed 2.0E7 m/s is traveling parallel to a uniform electric field of magnitude 1.18E4 N/C. How far will the electron travel before it stops? How much time will elapse before it returns to its starting point q = 1.60E-19 C mass of electron = 9.11E-31...

How is tangential accleration zero in uniform circular motion?? Homework Statement the magnitude of tangential velocity is same but the directions are different..so how can the tangential acceleration be zero?? Homework Equations The Attempt at a Solution

Homework Statement http://i54.tinypic.com/2uztu6d.jpg Homework Equations I don't know how to use LaTeX, sorry... mass = L times integral of density, where the endpoints are the bounds of the region. However, in this case...it seems to me that things are reserved... The Attempt at...

Is it true that a cauchy sequence of continuous functions defined on the whole real line converges uniformly to a continuous function? I thought this was only true for functions defined on a compact subset of the real line. Am I wrong?

In a uniform electrical field, why does the field strength remain constant? For a field where two metal plates, one negatively charged the other positively charged, why will E, electric field strength, always remain constant? If we assume the distance between two plates A & B, where A has a...

A special electronic sensor is embedded in the seat of a car that takes riders around a circular loop-the-loop ride at an amusement park. The sensor measures the magnitude of the normal force that the seat exerts on a rider. The loop-the-loop ride is in the vertical plane and its radius is 21 m...

Lewis is a trapeze artist. He is hanging upside down on a swing bar; he is holding on to the swing bar with his knees. Lewis is holding his partner Amanda below him, who weighs 475 Newtons. Assume that Amanda moves on a circle that has a radius of 6.50 meters. At a swinging speed of 4.00 m/s...

The Earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the Earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated at a latitude of...

Homework Statement Revered members, please see my attachment (1) In this diagram, PQRS is a rectangular current loop and I is the current and its direction is shown in red arrow . B is the magnetic field and it acts from left to right and n is the normal drawn to the plane of the loop...

Hello! I have a problem which is solvable using simpler methods, but I'm trying to use it as a bridge to understanding how to do these problems in a more rigorous setting. Homework Statement A train slows down as it rounds a sharp horizontal turn, slowing from 90 km/hr to 50 km/hr in the...

I sort of understand Einstein's theory of relativity. I'm trying to visualize what the universe would be like if the speed of light were added on to moving objects. objects are moving in so many directions that it's hard to understand how one would even add the speed of light on to a motion...

Homework Statement Consider the decay A -> B + C (where A is not at rest). In the rest frame of A, B is emitted in a random direction (all directions have equal probability) and I need to show that in the lab frame, the energy distribution of B is uniform. (We assume that B has negligible...

Question: Show that f(x)= (x^2)/((x^2)+1) is continuous on [0,infinity). Is it uniformly continuous? My attempt: So I know that continuity is defined as "given any Epsilon, and for all x contained in A, there exists delta >0 such that if y is contained in A and abs(y-x)<delta, then...

Hi everyone, This question is bothering me for days and would hope to receive some help in this forum. This question is with regards to Faraday's law on EMI. Will an emf be induced when a copper rod is accelerated between a uniform magnetic field? My answer would be no if the rod has...

Hi, All: Let f R-->R be differentiable. If |f'(x)|<M< oo, then f is uniformly continuous, e.g., by the MVTheorem. Is this conditions necessary too, i.e., if f:R-->R is differentiable and uniformly continuous, does it follow that |f'(x)|<M<oo ? Thanks.

Hi, I was always troubled by the relationships between these modes of convergence (L^1, L^2, and L^{\infty} convergences, to be precise), so I took some books and decided to establish some relations between them. For some, I succeeded, for others I did not. Here's what I did so far: If I...

Homework Statement An astronaut is standing in an space station that spins. The linear speed and the centripedal aceleration that he experiences are bigger on his feet than on his head. Scientific experiments have proved that a difference of (1/100 )g won't produce this inconveniet for...

Hello I am new here. I came here because i was trying to search for a tutorial regarding Uniform acceleration motion or UAM but i am so unlucky since i haven't found any decent ones that answers my questions. Homework Statement An automobile and a race car start from rest at the same instant...

Homework Statement Here is the question: Thin rod AB has length l=100 cm and total charge q=37 nC that is distributed in such a way that its line density ? is proportional to the square of the distance from the end A, i.e. ?(x) =kx^2. Determine electric field E at the end A of the rod. ...

I am learning uniform circular motion and the question says: A child on a sled comes flying over the crest of a small hill. His sled does not leave the ground but he feels the normal force between his chest and the sled decrease as he goes over the hill. Explain. Now, I know that normal force...

Hello, I was wondering if uniform motion and uniform speed were one in the same things? Also (if they are both identical) is acquisition of perfect uniform motion plausible?

Hi, I have 4 non-planar points P1 = ( x1 , y1 , z1 ) P2 = ( x2 , y2 , z2 ) P3 = ( x3 , y3 , z3 ) P4 = ( x4 , y4 , z4 ) what is the coordinate of center of mass of the object ( tetrahedron ) whose vertices are P1 P2 P3 and P4? ( uniform density ) Thanks

An Earth satellite moves in a circular orbit 589 km above Earth's surface with a period of 96.26 min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite? I know I need the equations for 1) period and 2) centripetal acceleration and 3) r. 1) T=...

Homework Statement A long, uniform rope with a mass of 0.100 kg per meter lies on the ground. You grab one end of the rope and lift it at the constant rate of 1.20 m/s. Homework Equations Center of mass? [SIGMA]mx/M The Attempt at a Solution I honestly have no idea where to even...

Homework Statement In our lab about transformers we have a question as follows: Consider a loop in a uniform magnetic field. If the field is suddenly turned off, in which direction will the current flow in the wire? Homework Equations The Attempt at a Solution My first thought...

This question might be a result of perceptual ignorance but still: In explaining an inflationary cosmological model that postulates a prime singularity (i.e. starting with a Big Bang) some tend to associate it with "dots on an inflating balloon". Doesn't this imply that the "dots" that are...

On pedaling a bicycle along a straight line, the friction act forward on the rear wheel and act backward on the front wheel. If I turn its handlebar so that the front wheel is at a certain angle (say theta) and pedal it in uniform circular motion, what would be the direction of the friction...

http://img20.imageshack.us/img20/9443/ssssnm.png parallel and perpendicular axis theorem for moment of inertias So i solved the Moment of inertia for the large square through the perpendicular axis through a, (1/3)*M*(l^2), where l is 4a/2=2a, using the perpendicular theorem, Ixx+Iyy=Izz, we...

Homework Statement http://dl.dropbox.com/u/305636/yeephysics.jpg If that doesn't work, the problem states: A pair of parallel metal plates, 100mm long and a distance of 20mm apart are set up in an evacuated tube as shown. A potential difference is applied to the plates, creating an...

Homework Statement http://img685.imageshack.us/img685/9250/drawingmo.jpg In the drawing is depicted a pendulum hammer of an impact device (in both projections). The hammer is made out of shaft AB which upon it is held pendulum OM. At point M of the pendulum is a hammer. According to...