What is Cylinder: Definition and 1000 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.

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  1. P

    Operating a pneumatic cylinder on hot air

    I have a portable compressed air cylinder - pressure 10 kg/cm2 - powering a small reciprocating pneumatic piston/cylinder assembly.To increase the usage time of the system,I want to fit electric air heaters in the cylinder on both sides of the piston as well as in the compressed air...
  2. O

    Internal Pressure Change in Cylinder Question

    Homework Statement I have a section of carbon steel pipe that was used to transport crude oil. The inside diameter is 24-inches. A blind flange and plumber's plug are being used to seal the pipe off. The length of the sealed section is 160-feet. Two 10 pound blocks of dry ice were placed...
  3. Baluncore

    Automotive Crankshaft axis offset from cylinder axis?

    I have always thought of connecting rods as straight and the crankshaft axis being line bored in the same plane as the cylinder axis. Is there an advantage in offsetting the crankshaft slightly to compensate for the difference between the compression and power stroke pressures ? Is the answer...
  4. J

    Strength of cylinder as function of internal pressure

    I understand that a cylinder oriented vertically and bearing a load can be made more resistant to buckling by adding pressure to the (closed) cylinder. For example, an unopened can of soda pop can bear much more load than an opened soda pop can (I found a youtube video showing an unopened can...
  5. Y

    Tall rotating cylinder near a black hole

    Imagine we have a very tall vertical cylinder like a very elongated telegraph pole, that is rotating at 200 rpm about its long axis on near perfect bearings. Initially the cylinder is sufficiently far from a black hole, that differences in gravitational time dilation between the top and bottom...
  6. Fernando Revilla

    MHB Homeomorphism between a cylinder and a plane?

    I quote a question from Yahoo! Answers I have given a link to the topic there so the OP can see my response.
  7. C

    Thermodynamics; Temperature in cylinder after combustion

    Homework Statement I have an assignment to calculate the temperature, T1, after combustion in a cylinder. The combustion itself happens at constant pressure. I also know the average molar mass, M, of the gases after combustion and that the specific heat capacity is constant and can be...
  8. L

    Convection and Radiation in an Electrically Heated Cylinder

    Homework Statement Hi everyone, I'm working on an assignment and am totally stumped by this question: A horizontal cylinder is heated electrically. The cylinder is supplied with a current at a DC Voltage. Using the data supplied and allowing for both natural convection and radiation...
  9. siddharth23

    Mechanism suggestions for bringing down inclined cylinder

    Where I work, we use a single acting hydraulic cylinder to raise a tank filled with sludge. After emptying it, it has to be brought back to it's original horizontal postion. This is done using the weight of the cylinder and takes a lot of time (about 15-20 mins). Can you suggest something to...
  10. tsuwal

    Can the fullness of a cylinder of water be determined by its frequency

    Homework Statement We have high cilinder with height h a filled with water up to the height L<h and air in the rest. We hit the cylinder and listen to the frequency of its sound. How can we determine L in function of h, the frequency of the noise, the speed of sound, ... Homework...
  11. Saitama

    Calculating Wind Speed for Suspended Cylinder

    Homework Statement I don't have the exact problem statement but I remember the data given. I have a cylinder suspended in mid-air.The question asks to calculate the wind speed required to keep the cylinder in this position. The cylinder is of height h and diameter d. The pressure of air is...
  12. Chris L T521

    MHB Find Max Volume of Cylinder Inscribed in Cone

    Thanks again to those who participated in last week's POTW! Here's this week's problem! ----- Problem: A right circular cylinder is inscribed in a cone with height $h$ and base radius $r$. Find the largest possible volume of such a cylinder. -----
  13. F

    Magnitude of an Electric Field in a Cylinder

    Homework Statement A thin, cylindrical copper shell of diameter ds = 2 cm has along its axis a thin metal wire of diameter dw = 7.50 x 10-03 cm. (as shown in the diagram below.) The wire and the shell carry equal and opposite charges of 6.35 x 10-09 C/cm, distributed uniformly. What is the...
  14. E

    A cylinder rotating in Cartesian coordinate system

    Homework Statement In Cartesian coordinaate system, we describe the rotation of a cylinder. The axis of the cylinder has the same direction as the basis vector e3. Angular velocity is described by vector w = 2e1 - 5e2 + 7e3 rad/s. I must find the velocity vector (v) of a point P that is...
  15. E

    Water pressure and gravity in a storage cylinder

    Say you have a cylinder. The cylinder is 6 inches in diameter and 10 feet high. The cylinder has a floor at the bottom and is open at the top. The cylinder is full of water. How much pressure is exerted on the floor of the cylinder? Is it simply the weight of the water in the...
  16. A

    What is noted by +_5 in measuring cylinder?

    can anyone explain why is that noted?Most of them says that it denotes the error.why there should be an error in the instrument.Can't we make an instrument free of error?confused.
  17. A

    Thin cylinder under internal pressure - hyperelastic?

    I'm trying to verify that some hyperlastic models I got from uniaxial data work in ANSYS. To do so, I am using a one-element uniaxial simulation (which works perfectly), and then I also wanted to do a simulation of another type of problem that I could solve analytically, to compare the results...
  18. P

    Analyzing Magnetic Field of an Infinite Cylinder with Constant Magnetization

    Hi, Homework Statement Suppose I have an infinite cylinder with radius R, axis along the z axis and constant magnetization M\hat{z}. I wish to find the magnetic field everywhere. (This is not a HW question per se, yet thought I might get some comments on my attempt at solving it...
  19. S

    Rayleigh number for vertical cylinder with free convection

    Hi @ all, i want to simulate the cooling behavior of liquid aluminum in a vertical cylinder(simplified geometry of a real transport crucible), the cylinder is cooled down by the surrounding air from all sides, from top and from buttom, i expect free convection in the liquid to simulate...
  20. Z

    What is the speed of a cylinder rolling down a hill?

    Homework Statement A cylinder rolls without slipping down a hill. It is released from height h. What is its speed when it come down? The cylinder mass may be completely concentrated on the radius R, which is the radius of the cylinder. http://i.imgur.com/Ge3x1nu.png The Attempt at a...
  21. J

    Optimization: maximum curved surface area of a cylinder in sphere

    θHomework Statement The attached diagram depicts a sphere with several variables: the height of the cylinder, the radius of the cylinder and an angle. All that has been given to me is the hypotenuse of a triangle used. Homework Equations To my knowledge I was told to use 2sinθcosθ=sin2θ...
  22. M

    Surface Charge on Resistive Current Carrying Cylinder

    The goal is to find a reasonable solution to the surface charge density that would cause constant current through a cylinder of constant resistivity. One approach is to attempt to find a surface charge distribution on a cylinder so that the electric field on the cylinder axis is constant and...
  23. Saitama

    Potential at centre of cylinder

    Homework Statement Homework Equations The Attempt at a Solution I have no idea on this one. I can't understand what happens when some portion of the cylinder is earthed and other is maintained at 110V. The potential of the earthed portion is 0V but how does that even help me...
  24. M

    How to Calculate the Volume of a Cylinder Using Ideal Gas Equation?

    Homework Statement An ideal gas is stored in a cylinder whose volume is unknown. Part of this gas is transferred to another cylinder whose volume is 300 cm3 and pressure is 790 mmHg. The mass loss caused the pressure in the first cylinder to decrease from 650 to 630 mmHg. Considering that all...
  25. N

    Change in u and h is for a piston cylinder device.

    Homework Statement 0.03m^3 of air is contained in the spring-loaded piston-cylinder device. The spring constant is 875N/m and the piston diameter is 25cm. When no force is exerted by the spring on the piston the state of the air is 2250kPa and 240C. This device is now cooled until the volume is...
  26. P

    Finding mass of water by subtracting graduated cylinder mass

    Homework Statement Ok so I have to do this lab that I just started today, I have a link to the entire assignment so you guys can see everything here: http://www.bclearningnetwork.com/LOR/media/ch11/course_files/Unit_Labs/Unit_1_density_lab.pdf I asked my teacher how I'm supposed to do it...
  27. E

    Net Power In a Charged Rotating Cylinder

    Homework Statement A long hollow nonconducting cylinder (radius R= 0.060 m, length L= 0.70 m) carries a uniform charge per unit area of σ= 4.0 C/m^2 on its surface. Beginning from rest, an externally applied torque causes the cylinder to rotate at constant acceleration α= 40 rad/s^2 about the...
  28. R

    Moment of inertia tensor about y-axis of a cylinder.

    Homework Statement What must the ratio of height to radius of a cylinder be so that every axis is a principal axis (with the CM as the origin)? Homework Equations Moment of inertia tensor. I need I_yy = \sum m *(x^2 + z^2) The Attempt at a Solution I calculated I_zz = MR^2 /12...
  29. S

    The electric field formed by a uniformly polarized cylinder

    Homework Statement We have some uniformly polarized cylinder with some polarization P\hat{z} . The The cylinder's center is on \hat{z} and it's on the xy surface. The cylinder has radius R and height d where R \gg d . If we were to ground the xy plane what would the electric field...
  30. Saitama

    Finding acceleration of cylinder

    Homework Statement (see attachment)Homework Equations The Attempt at a Solution Can I use the instantaneous axis of rotation for this question? I placed it at the point of contact of cylinder and the ground. Moment of inertia about it is: ##4mR^2/2+4mR^2+mx^2=6mR^2+mx^2##, where m is the mass...
  31. C

    Electric field due to a hollow, charged cylinder

    Homework Statement Find the electric field at a point on the x-axis due to a uniformly charged, hollow cylinder. The x-axis is parallel to the cylinder and goes through it's centre. One end of the cylinder is located at the origin. Homework Equations R = radius of cylinder Q = charge on...
  32. A

    Whats the the Rayleight number formulae of vertical cylinder?

    whats the the Rayleight number formulae of vertical cylinder in natural convection?
  33. I

    Double Integrals - Volume of a Cylinder

    Homework Statement A cylinder has a diameter of 2 inches. One end is cut perpendicular to the side of the cylinder and the other side is cut at an angle of 40 degrees to the side. The length at the longest point is 10 inches. Find the volume of the sample. I believe this is what it would...
  34. _maxim_

    Small sphere or cylinder filled by a solvent

    how can I create a spheric glass ball or a closed cylinder containing a solvent as acetone or methanol? the ideal would be without air bubble inside and diameter in the range of 2-4 mm thanx max
  35. E

    Most efficient cost for a cylinder

    Homework Statement An open-topped cylinder is to have a volume of 250 cm3. The material for the bottom of the pot costs 4 cents per cm2, and the material for the side of the pot costs 2 cents per cm2. What dimensions will minimize the total cost of this pot? The Attempt at a Solution $$...
  36. A

    Heat transfer coefficient of cylinder in free air?

    let say a cylinder(steel) is 6 cm diameter and length of 3.5 cm length. and is heated to 1000 degree c. in a room of free air and room temperature of 20. will convective heat transfer dominate? it radiation is negligible? what would the convective heat transfer be? what power(watt)...
  37. J

    What is the equation for a cylinder SOLVED FOR Z

    I've tried googling this but I can't find the answer. I'd like all of the common 3d shape equations if someone has them. THEY HAVE TO BE SOLVED FOR Z so they can actually be graphed on a 3d graphing calc. For some crazy, crazy reason, these equations are never listed solved for z or, don't even...
  38. B

    Water temperature range in a hot water cylinder

    I am thinking about solar water heating. The way that the system gathers heat is by moving any heated water into into the cylinder where it rises to the top and cold water is taken from the bottom of the cylinder and moved through the heating panel. Because the hot water will always rise...
  39. G

    Heat Transfer - Rapid cooling of steel cylinder

    Homework Statement A steel cylinder of diameter 8cm and length 12cm is initially at 600°C. It is placed in oil at 20°C for rapid cooling, for case hardening of the surface layer. The value of h is 60W/m2 K. Use the numerical method. a. Determine the time in which the maximum internal...
  40. B

    Finding Vector potential due to an infinite cylinder?

    Hi there, 2nd year student, absolutely stumped on this don't even know where to begin. [I]"Determine the vector potential due to an infinite cylinder of radius, R, carrying a uniform current density, j. Use this to describe the magnetic field inside a current carrying wire I am using...
  41. U

    Waves on a Cylinder - Solutions & Analysis

    Homework Statement Homework Equations The Attempt at a Solution Not sure what they mean by general superposition of solutions...Do i use D'alembert's solution whereby I assume initial velocity = 0, and therefore: z = z(θ-ct) + z(θ+ct)
  42. M

    Thermodynamics: Piston and Cylinder

    Homework Statement A piston-and-cylinder device contains 5 kg of water initially at 150◦C and 0.20 MPa. The frictionless piston is then pushed slowly in an isothermal process until the volume of water becomes 10% of its initial value. Calculate the heat and work exchanged between the device...
  43. P

    Which way does the cylinder roll? Solution posted doesn't make sense.

    Homework Statement A cylinder weighing 30lbs is initially at rest on a horizontal surface. There is a spring attached directly below the center, 2ft away from the center point o, pulling to the right horizontally. There is a string attached to the center and to a mass (around a pulley...
  44. S

    Relation of cylinder wall pressure and flow inside

    What is the relation between the pressure that is exerted on the internal walls of a cylinder and the characteristics of a flow of water running inside it? Let's assume that the flow velocity is constant and that we have an inviscid flow of pipe flow type. Furthermore let's assume that the...
  45. jaumzaum

    Electric field lines in a cylinder

    In the figure below we have 2 hollow cylinder conductors. The red conductor has radius R1 and negative charge (Q1). We then introduce the blue conductor (radius R2), first connected to the Earth by a conductor thread. Then we disconnect the thread making the blue conductor charge be positive...
  46. T

    Radial current in a hollow metal cylinder

    Homework Statement A hollow metal cylinder has inner radius a, outer radius b, length L, and conductivity sigma. The current I is radially outward from the inner surface to the outer surface. Find an expression for the electric field strength inside the metal as a function of the radius r...
  47. sergiokapone

    Rolling Dynamics of a Rotating Cylinder on an Inclined Plane

    Homework Statement Rotating with angular velocity ##ω_0## solid homogeneous cylinder of radius ##r## placed without starting forward speed at the bottom of the inclined plane, forming an angle ##\alpha## with the horizontal plane, and starts to roll in up. Determine the time during which the...
  48. H

    Slip condition for a pulled cylinder

    Homework Statement Massless and inextensible string is wrapped around the periphery of a homogeneous cylinder of radius R = 0.5 m and mass m = 2 kg. The string is pulled straight away from the upper part of the periphery of the cylinder, without relative slipping. The cylinder moves on a...
  49. P

    Why is water at rest in a rotating cylinder?

    A question I was doing asked to find the equation describing the surface of water placed in a cylinder rotating about its central axis. The question asserts that in the rotating frame, the water is at rest, and centrifugal force and the gravitational force of a volume element are perpendicular...
  50. B

    Infinite cylinder covered by one chart

    Hi there. I have just been doing some reading on manifolds, and I'm finding some of it hard to grasp. An example we were given was of the infinite cylinder and how to construct its map, and that it would be with one chart. the reading initially says that we can use θ \in (0,2pi] and z \in...
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