What is Cylinders: Definition and 272 Discussions

A cylinder (from Greek κύλινδρος – kulindros, "roller", "tumbler") has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. It is the idealized version of a solid physical tin can having lids on top and bottom.
This traditional view is still used in elementary treatments of geometry, but the advanced mathematical viewpoint has shifted to the infinite curvilinear surface and this is how a cylinder is now defined in various modern branches of geometry and topology.
The shift in the basic meaning (solid versus surface) has created some ambiguity with terminology. It is generally hoped that context makes the meaning clear. Both points of view are typically presented and distinguished by referring to solid cylinders and cylindrical surfaces, but in the literature the unadorned term cylinder could refer to either of these or to an even more specialized object, the right circular cylinder.

View More On Wikipedia.org
Recent contents Top users
  1. T

    Finding the Volume of the Intersection of Two Cylinders

    Homework Statement Find the volume of the intersection of the two solid cylinders x2 + y2 ≤ 1 and y2 + z2 ≤ 1. The Attempt at a Solution Apparently this is done most easily by cartesian coordinates. I have the integral: \int_{-1} ^1 \int_{-sqrt(1-x^2)} ^{sqrt(1-x^2)}...
  2. S

    Motion of Cylinders: Comparing Speed and Factors

    Question: Two light cylinderical cans roll down an inclined slope. One is filled with water, which may be assumed to act without friction, the other is filled with ice which sticks to the insides of the can. Which attains the higher speed and by what factor? Solution: The maths of this...
  3. khurram usman

    Can anti-matter be stored in super conducting magnetic cylinders?

    frankly i don't know much about anti-matter or super conductors...i just read an into-level topic on anti-matter and had a thought. the main concern while developing an energy source is that its feasibility should be considered...right? and the problem with anti-matter is that it takes too much...
  4. U

    2 cylinders, pushing gas from one to another

    Homework Statement I managed to do part (i) and first part to (ii): Homework Equations U = Q + W The Attempt at a Solutionfor the first part: T/Tf = 1/(2 - y) for (ii): W = yVP Given: (3/2)R = Q/(nΔT), Q = (3/2)nR(ΔT) Therefore U = Q + W U = (3/2)nR(ΔT) + yVP But then, isn't U...
  5. W

    Center of mass -chair and cylinders

    Center of mass --chair and cylinders! Homework Statement Jane is sitting on a chair with her lower left at a 30° angle with respect to the vertical. you need to develop a computer model of her leg to assist in some medical research. if you assume that her leg can be modeled by 2 uniform...
  6. J

    Resistance, Current, two cylinders

    Homework Statement An oceanographer is studying how the ion concentration in seawater depends on depth. She makes a measurement by lowering into the water a pair of concentric metallic cylinders at the end of a cable and taking data to determine the resistance between these electrodes as a...
  7. L

    How Can You Tell Which Gas Cylinder is Full in Space?

    What are 5 ways to determine which of 2 identical cylinders is empty and which is full of gas if they are in space?
  8. L

    Single acting cylinders - naming

    Hi, For single acting hydraulic cylinders, how can I specify I need pushing cylinder? Is there a specific name for push or pull cylinders? Please let me know how should I call Cylinders of type 1 and type 2. |----------------------| | || | |...
  9. B

    Comparing Volumes of Cylinders: Is a Larger Radius or Height More Important?

    which is greater or are they equal: one cylinder with 2 radius and height 10, or one with 1 radius and height 20 I thought they would be equal because the first one is 4pi * 10 = 40pi and the second is 2pi * 20 = 40pi But my book says the first is greater. don't understand why
  10. jfy4

    Capacitance of Parallel cylinders

    Homework Statement Two long, cylindrical conductors of radii a_1 and a_2 are parallel and separated by a distance d, which is large compared with either radius. Show that the capacitance per unit length is given approximately by C=\pi\epsilon_0 \left(\ln\frac{d}{a}\right)^{-1} where a...
  11. U

    What is the acceleration of a board on two cylinders on a fixed inclined plane?

    A board lies on top of 2 uniform cylinders that lie on a fixed plane inclined at an angle theta. The board has mass m and each of the cylinders has mass m/2. The system is released from rest. If there is no sipping between any of the surfaces, what is the acceleration of the board. Solve using...
  12. D

    Mutual inductance in concentric cylinders

    Friends: I have been thinking about this question for a while, so I hope you can help! Here it is: Lets say you have two concentric, conducting cylinders. The outer cylinder ("Cylinder 2") has the following properties: radius R2, carries a current of I2, relative magnetic permeability...
  13. A

    Equilibrium: Brick on Cylinders

    Homework Statement http://img143.imageshack.us/img143/589/showmepl.gif The above figure shows a large, uniform brick supported on two cylinders L and R so that it is exactly horizontal. The areas of the two cylinders are related such that AL = 2.1AR. The Young's moduli of the two cylinders...
  14. murshid_islam

    A paragraph on circles and cylinders

    Homework Statement My niece has to write a paragraph on circles and cylinders. This is the exact question: "How are circles and cylinders related? Write a paragraph to explain what you learned about circles and cylinders." Homework Equations The Attempt at a Solution I am...
  15. B

    Calculating Pressure in Differently-Sized Cylinders

    Homework Statement Two cylindrs of different sizes, 10 litre and 4 litre, are connected by a thin tube of negligible volume. The cylinders contain a gas at a tpressure of two atmoshheres when at 25 deg celsius. If the small cylinder is immersed in an ice bath at 0 deg celsius and the larger...
  16. I

    Engineering - working out a problem with thick and thin hydraulic cylinders

    "A hydraulic cylinder has an inner diameter 25mm, an outer diameter 34mm and an internal pressure of 60bar. Calculate the principal stresses on the cylinder surface." 2) Listed in the revision notes are several different equations for this question. I've tried each one from thick cylinders to...
  17. K

    Calculating Area of Intersected Cylinders Using Line Integral

    Homework Statement Two circular cylinders of radius a intersect so that their axes meet at right angles. Use a line integral to find the area of the part from one cut off by the other. Homework Equations line integral formula The Attempt at a Solution I'm lost as to where to set...
  18. B

    Magnetic Field from 2 cylinders

    Homework Statement Two infinitely long identical conductors carry equal current densities J in opposite directions parallel to the z-axis. They each have radius b and overlap so their centers are distance 2a apart. In the overlap a distance a from the center we have 0 current density (a hollow...
  19. J

    Friction between two faces of rotating cylinders

    Homework Statement A rotating flywheel with radius r is spinning with initial angular velocity 'w' and has moment of inertia 'Ic' whose axis of rotation is in the vertical direction. Another cylinder is placed on top of it with no initial angular velocity, radius r, and moment of inertia 5*Ic...
  20. C

    Mechanics - Cylinders, springs and rough inclined plane

    Homework Statement Why there won't be any friction?
  21. C

    Rotation - Collision of Rotating Cylinders Cylinders

    Homework Statement The Attempt at a Solution The book did it like taking impulse of forces f and writing eqn Impulse = Δ(Angular momentum) or J = ΔL How i tried: let the 2 cylinders meet at A (they have not mentioned the velocity of approach but as it says that the 2...
  22. J

    Nonconducting concentric cylinders

    Homework Statement A very long solid nonconducting cylinger of radius R1 is uniformly charged with a charge density of volume charge densty pE. It is surrounded by a concentric cylinder tube of inner radius R2 and outer radius R3. Determine the electric field as a function of the distance R...
  23. J

    Nonconducting concentric cylinders

    Moved to introductory physics
  24. M

    Torque in cylinders - show the cylinder undergoes harmonic motion

    Homework Statement A cylinder of radius R and mass m is suspended using stainless steel wires attached to fixed supports, so that it can rotate about its axis. When the cylinder is rotated by an angle a the wires exert a torque which tends to bring it back to the equilibrium position at a...
  25. D

    Transfilling (Decanting) Cylinders

    I have a one argon gas cylinder pressured at 2015psi with 80 cubic feet of argon. I want to transfer some of this argon into a small cylinder which is rated at will hold 40 cubic feet at 2015psi with a tranfill hose that has a bleed valve at the fill side of the hose. I understand I have to...
  26. K

    Long string wrapped around cylinder. Find cylinders angular speed?

    Homework Statement A long string is wrapped around a 6.3-cm-diameter cylinder, initially at rest, that is free to rotate on an axle. The string is then pulled with a constant acceleration of 2.0 m/s2 until 1.5 m of string has been unwound. If the string unwinds without slipping, what is the...
  27. C

    Quick q on gauss' law (cylinders)

    Homework Statement show that the E outside an infinitely long rod of radius R with a uniform charge density p is E = pR^2/2r(e_0) Homework Equations gauss' law EA=q/e_0 The Attempt at a Solution I know how to solve this and get the correct answer but I don't totally understand it...
  28. P

    Conducting and nonconducting cylinders; Finding electric field.

    1. An extremely long, solid, nonconducting cylinder of radius R1 = 50 cm has charge density given by p = kr, where k = +2.0 microCoulomb/m^4 and r is the distance from the center of the cylinder. It is surrounded by a solid, conducting, cylindrical shell of inner radius R2 = 75 cm, outer radius...
  29. H

    Can 600 Tons of Force Be Applied with Two 300 Ton Cylinders?

    Hi guys I have a question I need answered. I have a small machine shop and I need to build a press that will apply 600 tons of force to an object. Can I have one 300 ton cylinder on each end of the object? Or is this tonnage not additive.
  30. S

    Kinetic energy of rotated cylinders

    Homework Statement You have a figure that is combined with three figures. Two solid cylinders and one rectangle in the middle. Like this: O[]O The two cylinders is rotating and are not sliding, so the whole figure moves to the right. The rectangle is connected with the two cylinders. Both...
  31. E

    Why is Air in Pneumatic Cylinders Pressurized so High?

    Hi there, My thermodynamics textbook shows the critical pressure of Air to be 37.7 bar. Why is it, then, that pneumatic cylinders are pressurized to pressures like 300 bar? If the air is already a liquid and liquid is near incompressible, what is the point of pressurizing it so much if you...
  32. K

    2 cylinders with rope wrapped around them

    Homework Statement 2 identical cylinders of mass m, radius R and moment of inertia I=kmR2are connected with a rope wound around both, according to the drawing. One is falling. What is the angular acceleration of the upper one? A hint was given: the acceleration of the lower one is twice the...
  33. B

    Finding Work from 2 cylinders

    A student exerts a steady force on the piston of her "master cylinder" and observes that it moves downward 3.2 cm as 10 ml of fluid moves into the "slave cylinder" and lifts a 500 g mass. She then reverses the roles of "master" and "slave" and places the 500 g mass on the piston of what...
  34. H

    Weight distrubituion between two cylinders.

    Homework Statement I was just websearching and came across this interesting demonstration. http://demonstrations.wolfram.com/AMassiveBarOscillatingBetweenTwoIdenticalRotatingSupportRoll/ Homework Equations I wanted to define the normal forces N1 and N2 based on their position x(t) from...
  35. Z

    Permutations with 3 balls of different colours in 4 glass cylinders

    Homework Statement In how many ways can 3 balls of different colours be put in 4 glass cylinders of equal width such that any glass cylinder may have either 0,1,2 or 3 balls? The Attempt at a Solution Using the formula for no. of ways for distribution of n distinct things into r...
  36. kandelabr

    Two IC engines with same displacement, but different number of cylinders

    Homework Statement The object of this assignment is to find two engines that have the same displacement and different number of cylinders and compare ratio of their power output to a few equations' results. The engines should be from the same manufacturer and their manufacturing date should...
  37. M

    Gear Sizing - So that two different size cylinders have matched surface speeds

    I have an application where I need to size gears for a set of cylinders with different diameters, and the surface speeds of the cylinders need to match. Does the ratio between gears have to equal the ratio between pitch diameters? This is our first application where the diameters of the...
  38. S

    Help with two hydraulic cylinders and DCV

    i hope someone can help i have a question. i two hdyraulic cylinders. cyl #1 must extend then retract when cyl 1 is retracted, cyl2 must extend then retract but i can only use dcv how can this be done what type dcv must i useand if possible a drawing would be great. thank you in advance...
  39. M

    How Do Forces Affect the Acceleration of Contacting Cylinders?

    http://img713.imageshack.us/img713/183/334a.jpg I seem to be having trouble figuring out exactly what forces are going on in this scenario. I know that if the cylinders are to remain in contact, they all have to be accelerating at the same rate, which means the same net horizontal force must...
  40. P

    Gauss Law Problem with Cylinders

    Homework Statement An infinitely long, non-conducting cylinder of radius R carries a uniform volume charge density ρ. Find the magnitude of the electric field for 0 < r < R Homework Equations EA=Qin/εo The Attempt at a Solution I am debating whether the answer should be ρr^2/2εoR...
  41. E

    Tipler Cylinders: Solving for Light Cone Tilt Angle

    I was looking for a paper or textbook that would provide "working equations" for Tipler Cylinders. In other words, is there an equation(s) that would provide the light cone tilt angle as a function of the cylinder's diameter, height, density, and angular velocity?
  42. D

    Can two air cylinders provide the leverage needed for easier pedal movement?

    I am wanting to use two air cylinders to get the leverage I need to make a mechanical movement easier. Right now I have a foot pedal that's connected to a rod that also connects at the other end to a cross shaft on a pedal steel guitar. This cross shaft is connected to another rod that is...
  43. D

    Magnetic Forces & Cylinders

    Homework Statement Hello, let me dish out the particulars straight away: "A large(and infinite) cylinder of the radius a, is fed a Current I through its surface; the same current, but traveling in the opposite direction exits the body through a smaller cylinder located within the greater one...
  44. P

    Volume of three shared cylinders

    Homework Statement Calculate the volume of the space enclosed by three cylinders x2+y2=1, x2+z2=1, and y2+z2=1. Homework Equations Triple Integral. The Attempt at a Solution change to polar coordinates
  45. E

    Triple integral, 2 parabolic cylinders

    Homework Statement Find the volume of the region which is bounded by the parabolic cylinders y=x², x=y² and z=x+y and z=0 Homework Equations The Attempt at a Solution I solved x=y² for y, and set that equal to y=x², and I got the intersection of the two parabolic cylinders to...
  46. M

    Centripetal acceleration of rotating cylinders

    find ω given centripetal acceleration Homework Statement It has been suggested that rotating cylinders about 9.0 mi long and 6.4 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the...
  47. D

    Steel C1040 Explained: Common Types of Steel Used in LPG Cylinders

    Homework Statement Given the steel C1040. What do you mean by C, 10, and 40 in that steel? What is the common type of steel used in manufacturing LPG cylinder?
  48. H

    Volume of cylinders using double integrals

    Homework Statement 1. Find the volume bounded by the cylinder y^2 + z^2 = 4 and the planes x=2y, x=0, z=0 in the first octant. 2. Find the volume bounded by the cylinders x^2 + y^2 = r^2 and y^2 + z^2 = r^2 Homework Equations The Attempt at a Solution Both questions are from the section...
  49. M

    Magnetic Field Between Coaxial Cylinders

    Homework Statement Two long thin concentric perfectly conducting cylindrical shells of radii a and b (a<b) are connected together at one end by a resistor of resistance R, and at the other by a battery that establishes a potential difference V. Thus, a current I=V/R flows in opposite...
  50. T

    Field due to coaxial cylinders

    [b]1. Charge of uniform density 76nC/m^3 is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.5 mm and 3.7 mm. Determine the magnitude of the electric field at a point which is 2.6 mm from the symmetry axis. I tried...
Back
Top