Uniform Definition and 1000 Threads

A uniform is a type of clothing worn by members of an organization while participating in that organization's activity. Modern uniforms are most often worn by armed forces and paramilitary organizations such as police, emergency services, security guards, in some workplaces and schools and by inmates in prisons. In some countries, some other officials also wear uniforms in their duties; such is the case of the Commissioned Corps of the United States Public Health Service or the French prefects. For some organizations, such as police, it may be illegal for non members to wear the uniform.

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  1. L

    Uniform Discrete Sample Distribution

    Homework Statement 2. Homework Equations [/B] So the sample mean is 2. the sample variance would be [[(3-1+1)-1]/12]/36 = 8/432. The Attempt at a Solution Is it, P[ (2.1-2)/sqrt(8/432) < z < (2.5-2)/sqrt(8/432)] = 0.232574. The book answer is 0.2312. I just want to be sure.
  2. T

    Uniform rope of length L and mass M, work to pull it up.

    Homework Statement A uniform rope of length L and mass M is held on a frictionless table by a force F. One fourth of its length (¼L) is hanging over the edge. Find the work required to pull the hanging part back onto the table. Homework Equations W=Fd The Attempt at a Solution I have no...
  3. P

    Uniform Circular Motion of a centrifuge

    Homework Statement A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the...
  4. G

    Uniform Circular Motion of a Spherical Earth

    Homework Statement In this question, the Earth is modeled as a uniform sphere of radius 6400km. Objects are released from points just above the Earth's surface at the equator and at the North Pole. Which will fall to the Earth with the greater acceleration and by how much? Homework Equations...
  5. P

    The (non-?) flatness of a uniform gravitational field and the equivalence principle

    Desloge (1989) published the article: ## '##Non-equivalence of a uniformly accelerating reference frame and a frame at rest in a uniform gravitational field## '##. His result, briefly resumed: a uniform gravitational field is not flat, is quite interesting. But the way he proves the result is...
  6. R

    Is the Acceleration of a Charge in a Uniform Electric Field Constant?

    Consider a test charge is moving in and electric field of a parallel plate capacitor then : Force F = ma In an electric field, F = qE For an electron in field E, qE = ma => a = qE/m As the charge is in uniform electric field "E" will be constant . As "E" is the force per unit charge so...
  7. D

    Potential difference due to two uniform sheet charges

    Homework Statement a) Derive the expression for the potential difference due to two uniform infinite sheet charges at y=5 and y=-5 in free space. b) If V=4V at (0,2,10) find V at (-4,3,1) . The surface charge density on the two sheet charges are ?s=?0 col/m2 [/B]Homework EquationsThe Attempt...
  8. D

    Potential difference due to two uniform infinite sheet charges

    a) Derive the expression for the potential difference due to two uniform infinite sheet charges at y=5 and y=-5 in free space. b) If V=4V at (0,2,10) find V at (-4,3,1) . The surface charge density on the two sheet charges are ?s=?0 col/m2 What you guys be able to help me with this ?
  9. Fantini

    MHB Particles rotating about each other with uniform angular speed

    Here's the problem: Two particles of mass $m$ and $M$ undergo uniform circular motion about each other at a separation $R$ under the influence of an attractive force $F$. The angular velocity is $\omega$ radians per second. Show that $$R = \frac{F}{\omega^2} \left( \frac{1}{m} + \frac{1}{M}...
  10. A

    Velocity of an Object in Uniform Circular Motion

    Homework Statement An object of mass 0.5 kg is swung in uniform circular motion. The radius is 2 meters, and the force exerted is 4 N. Calculate the magnitude of the velocity. Answer Choices: a) 0.25 m/s b) 1 m/s c) 4 m/s d) 16 m/s Homework Equations v = 2piR/T F = mv^2/R The Attempt at a...
  11. N

    Gravitational Field of a Uniform Rod

    Homework Statement A thin uniform rod of mass M and length L is centered at the origin and lies along the x axis. Find the gravitational field due to the rod at all points on the x-axis in the region Picture adjunct Homework Equations My two question are: Why r is'not the difference between...
  12. Y

    How to use Wave equations for uniform plane waves

    Homework Statement Home work 3 Q1 Study the E field in free space and a source-free region, E= (a + b)exp(-jkx), where a and b are nonzero real constants, and in the x,y plane respectively. Does it satisfy Maxwell’s equations? If so, find the k and H fields . If not, explain why not...
  13. P

    Uniform Circular Motion: Why is the velocity changing?

    I encountered this question in a practice test for an upcoming exam. My first inkling was to answer with (C) because in uniform circular motion, the acceleration always points towards the center of the circle, but the actual answer was D. Do you think this question was just an issue of direction...
  14. avinamaurya

    One-dimensional Uniform plane wave

    to solve one dimensional uniform plane wave, why assumed E = F1(z-ct) + F2(z+ct) as a general solution of second order differential equation and in trigonometric form particular function assumed to be Ey =Sin B(z+mt).. Is there any other method like Laplace solution or something where i don't...
  15. tom.stoer

    No uniform distribution on infinite sets

    What exactly prevents us from ruling out a uniform distribution on infinite sets? To be more precise, why are distributions and limits like \int_{-\infty}^{+\infty}dx\,\lim_{\sigma\to\infty}f_{\mu,\sigma}(x) = 1 \int_{-\infty}^{+\infty}dx\,\lim_{\Lambda\to\infty}\frac{1}{\Lambda} \chi_{[a,a+L]}...
  16. A

    Sum of discrete uniform random variables

    Homework Statement Let ##X_k## be iid uniform discrete on ##\{0,...,9\}##. Find the distribution of ##\sum\limits_{k=1}^{\infty} \frac{X_k}{10^k}##Homework Equations The Attempt at a Solution I've tried a lot of things, I've tried decomposing ##X_k## into 10 bernoulli trials, I've tried using...
  17. Ascendant78

    Would a uniform circular motion frame be inertial if ω is constant?

    I'm wondering if someone is observing a situation from a frame moving in a uniform circular motion, would that frame of reference be considered inertial? I'm unsure because of the centripetal acceleration towards the center.
  18. C

    Help to make the air flow uniform

    I am designing an almond dehydrator as a part of my university project and need some advice regarding air flow in the dehydrator. There is a hollow perforated cylinder with a heating device in the middle. This cylinder is divided into two sections. The lower section has to take in cool air...
  19. P

    Dielectric slab with a uniform field

    Homework Statement An example I am reading has the following setup: a dielectric slab of dielectric constant εr exists between z=0 and z=d, whilst an external electric field E0=E0k is applied with k a unit vector in the z direction. This setup exists for all x and y. The rest of space is a...
  20. Feodalherren

    Proton in a uniform electric field

    Homework Statement A proton is projected in the positive x direction into a region of uniform electric field E = (-5.80 ✕ 10^5) N/C at t = 0. The proton travels 6.50 cm as it comes to rest. Find the initial velocity and the time it takes for the proton to stop. Homework Equations The Attempt...
  21. I

    How to Add Acceleration Vector in Uniform Circular Motion

    Currently we're discussing uniform circular motion in my physics class. The previous unit discussed vectors and vector addition in the i, j, k format. When I try to apply the rules for vector addition to find the resultant velocity in uniform circular motion, I get an increase in the...
  22. loops496

    Electric field of a circular plate with non uniform charge density.

    Hey! I need to calculate the electric field on the axis of a circular plate of radius a with the following charge distribution: \sigma_0 \frac{r^2}{a^2} \delta (z), \; r\leq a0, \; r>a where \sigma_0 is a constant. I've already calculated the potential and taken its gradient to get the...
  23. D

    Uniform discrete probablity distributions

    Homework Statement An electric circuit has 5 components. It is known that one of the componenets is faulty. To detremine which one is faulty, all 5 componenets are tested one by one until the faulty component is found, The random variable X represents the number of test required to determine...
  24. J

    Local uniform continuity of a^q

    Let a\in\mathbb{R}, a>0 be fixed. We define a mapping \mathbb{Q}\to\mathbb{R},\quad q\mapsto a^q by setting a^q=\sqrt[m]{a^n}, where q=\frac{n}{m}. How do you prove that the mapping is locally uniformly continuous? Considering that we already know what q\mapsto a^q looks like, we can define...
  25. S

    Uniform Circular Motion vs Circular Orbit due to Gravity

    In uniform circular motion, (eg, a mass on the end of a string moving in a horizontal circle) centripetal force is the only thing causing acceleration. we have the kinematic relationship V=RW or velocity is proportional to radius. I.e a bigger radius means greater linear speed? For the...
  26. ShayanJ

    How Can We Deform a Material to Maximize Its Gravitational Field at a Point?

    Consider a piece of a deformable material with mass m and constant density \rho . To what shape should we deform it so that its gravitational field is maximum in a given point?
  27. B

    Allowable Uniform load on steel channel

    I am attempting to determine the allowable uniform load on a 8ft long C3x5 steel channel A36 steel. i got an answer of about 2,455lbs but idk if that's right. if there is an easy equation to follow or if you know of a table online somewhere that can help that would be awesome! thanks in...
  28. amjad-sh

    Non uniform surface charge density

    hello. The problem is : A metallic horizontal disk of radius R has been charged on its top surface with a total charge Q such that its surface charge density is "non uniform" and governed by the expression σ=q|cosθ|*r where r and θ are the polar coordinates measured from the center O of the...
  29. B

    Line integral in a uniform force field

    I have had some trouble with Kleppner and Kollenkow's derivation of work in a uniform force field. As the attached image shows, all three integrals (with respect to dx, dy, dz) are evaluated as follows: $$\int_{x_a, y_a, z_a} ^ {x_b, y_b, z_b}$$ . I am not sure how to proceed with such limits...
  30. F

    MHB Why Does Choosing z=1/n Demonstrate Non-Uniform Convergence?

    on page 4, example 9 in this link, http://www.personal.psu.edu/auw4/M401-notes1.pdf, they show a sequence of functions is not uniformly convergent. To show this, you need to show that for some epsilon, there is no 'universal' N. But they didn't pick a particular value of $z$, they chose...
  31. A

    Is uniform electric field realistic?

    I was learning about gauss's law and how to use to determine electric field, one of them is an infinite plane of continuous and uniform charge , eventually E= σ/2ε which means the E is not depend on the distance from the plane , does that mean anywhere i place a test charge above this plane it...
  32. hdp12

    Torque Causing Angular Acceleration on a Uniform Disk

    Homework Statement /* Intro, personal: I am taking Studio Physics 1 at FSU this summer semester. We have an online homework assigned weekly via a program called ExpertTA. This question has been giving me the HARDEST time and I seriously just need some help on it. I have completed and submitted...
  33. ShayanJ

    Conducting spheroid in uniform electric field

    I want to calculate the field distortion caused by placing a conducting spheroid in a uniform electric field. The field direction is taken to be the z axis. I'm using oblate spheroidal coordinates and the convention below: x=a \cosh\eta \sin\theta \cos\psi \\ y=a \cosh\eta \sin\theta...
  34. R

    Fixed Pipe Uniform Load Support

    Hello, I am working on a project to be able to support a spray bar assembly with a pipe with a specific diameter. The spray arms, fully extended, sit at 45 deg on hydraulics. To perform maintenance, these hydraulics must be turned off, so a way to support this is needed. The support pipe 103"...
  35. S

    Can a charged particle be in uniform motion in reality?

    If a charged particle is at rest, external magnetic field cannot move it. If an external electric field is applied, the particle will get accelerated. Now the external magnetic field will exert a force on the particle perpendicular to its motion. This will change the direction of motion of the...
  36. A

    Achieving Uniform Temp of 600F on a Metal Chamber w/ 3 Thermocouples

    A flanged immersion heater is used to heat sand blast beads contained in a 400in^3 skinny cylindrical vessel (D=4"NPT, L=0.82m). My goal is to achieve a uniform temperature of 600F on the outside of the metal chamber. We used three thermocouples. One near the top portion on the outside of the...
  37. E

    Help finding the voltage in a uniform E-field

    Homework Statement Membrane walls of living cells have surprisingly large electric fields across them due to separation of ions. What is the voltage across an 8.67-nm-thick membrane if the electric field strength across it is 9.16 MV/m? You may assume a uniform E-field. Homework Equations...
  38. E

    Help finding the electric feild strength in a uniform E-field

    Homework Statement The voltage across a membrane forming a cell wall is 78.7 mV and the membrane is 8.52 nm thick. What is the electric field strength? (The value is surprisingly large, but correct.) You may assume a uniform E-field. Homework Equations E=-Vd The Attempt at a Solution...
  39. K

    MHB Bounded derivative and uniform continuity

    Let $f:[0,\infty)\to\mathbb R$ be a differentiable function such that for all $a>0$ exists a constant $M_a$ such that $|f'(t)|\le M_a$ for all $t\in[0,a]$ and $f(t)\xrightarrow[n\to\infty]{}0.$ Show that $f$ is uniformly continuous. Basically, I need to prove that $f$ is uniformly continuous...
  40. matineesuxxx

    When Does Radial Acceleration Equal Tangential Acceleration in Circular Motion?

    Here is the problem I am working on: A steel ball is accelerated around a circular track of radius 72 cm from rest. after 3 circuits the ball reaches a speed of 4.00 m/s, assuming tangential acceleration, a_{T} , is constant, how long after the ball starts moving is radial acceleration, a_r ...
  41. Quarlep

    Gravitational Field Strength due to a Uniform Rod

    I am trying to learn Physics an dI am reading a booK about classical mechanics.I a stuck somewhere in there If you know a gravitational force to a uniform rod I saw there a x and dx Why we need them ? Thanks!
  42. G

    What is the normal acceleration of body in non uniform circular motion

    when the body rotates with uniform motion then the normal acceleration is V^2/r. but what is the normal acceleration when the motion is in non uniform circular motion let's say when body has uniform tangential acceleration.
  43. Nathanael

    Uniform Circular Motion and Centripetal Acceleration

    In introductory physics books (or at least mine) it limits the equation a_c=\frac{v^2}{r} to the sitaution where the speed around the circular path is constant. It enforces the idea that the speed is CONSTANT. But wouldn't the equation also apply to non-constant speeds? (a_c would just...
  44. A

    Uniform, semicircular rod of radius R and mass m in the center

    Homework Statement Pic: http://i.imgur.com/Ny4YAKf.jpg Rod has radius R, and mass M. Small mass has mass m. I have to find gravitational force exerted on mass m by rod and potential energy of the whole thing. Homework Equations The Attempt at a Solution So my idea is that...
  45. Govind_Balaji

    Velocity of uniform circular motion

    Homework Statement The minute hand of a clock is 4cm long. Find the average velocity of the tip of the minute hand between 11.00 am to 11.30 am. (in m/s)Homework Equations The Attempt at a Solution 1.In the motion between 11 am to 11.30 am, \theta=180^o=\pi \text{radiaans}\\ radius=4cm\\...
  46. D

    What is the net torque on a uniform rod rotating around a fixed pivot?

    The Attempt at a Solution Hello, I'm having trouble with energy in rotational motion. The question asks: Consider a uniform rod of mass 12 kg and length 1.0 m. At its end, the rod is attached to a fixed, friction-free pivot. Initially the rod is balanced vertically above the pivot and begins...
  47. C

    Uniform Circular Motion amusement park ride

    Hello everyone, I'm really stuck on this question. The diagram shows an amusement park ride which contains a carriage attached to a mechanical arm. This arm spins around full circle. The carriage has a mass of 300 kg and a maximum occupancy of 300 kg. The question asks: With its carriage...
  48. M

    Electrostatics uniform electric field of magnitude

    An electron with speed 2.00×10^7m/s is traveling parallel to a uniform electric field of magnitude 1.16×10^4N/C . #1). How far will the electron travel before it stops? f=ma=Eq=-eE a=-eE/m I got a=-2.81x10^15 Then I used v(f)^2=v(i)^2+2a(x-x(i)) Solved for x... x=-(V(i))^2/2(a) x=.0712m #2)...
  49. F

    Is aX+b uniformly distributed?

    Homework Statement If X is a random variable uniformly distributed over (0,1), and a, b are constants, what can you say about the random variable aX + b? What about X^2? Homework Equations For uniformity of notation, let f(x) = probability density function of x F(a) = distribution function...
  50. M

    Gaussian signal, extract uniform distribution of values

    Hello, From an offset zener diode breakdown circuit, I have collected a set of bytes from an ADC. The values distribute normally as integers between 0 and 1024 with a mean of 512. I would like to use the data to create a set of random integers that distribute uniformly. So far, I have...
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