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. S

    Floating Cylinder of Uniform Density

    A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tinted light blue by food coloring...
  2. phys-student

    Finding electric field at the center of a polarized cylinder

    Homework Statement Consider a uniformly polarized electret in the shape of a cylinder with height h and radius 10h. The polarization in the dielectric is P, parallel to the cylinder axis. a) calculate surface and volume bound charges b) calculate the electric field at the center of the...
  3. O

    Using a hot gas to drive a piston: entropy reduction?

    Suppose we have an insulated cylindrical container with a piston inserted from one end. Suppose the volume confined by the piston is full of a hot gas. Now let the gas drive the piston so that the volume is increased. Did the entropy of the system decrease because some of the energy of the...
  4. S

    EM maxwells equations problem infinite cylinder

    Homework Statement Suppose we have a infinite cylinder of radius=R and with uniform volume charge density ρ. Use Maxwell's Equations or relationships from them to find E, B, V, and A everywhere. Pretty easy. But how do you approach the problem when you bring an angular vel into the mix...
  5. G

    Hydraulic cylinder speed/force

    Hi, I've been reading up on hydraulic fluid power design to design a lifting system for a loader bucket I'm building for my 20Hp tractor. I know how to calculate the force/ speed of one cylinder extending; but I am a little lost as far as using two cylinders. If I have a total weight of 2000...
  6. Z

    Stress and deformation of a cylinder

    A hollow cylinder with thin wall, of internal radius r=30 mm, of thickness h=3 mm and subjected to a pressure p of 1 bar inside. The radial stress road is equal to 0 on the surface. The surface of this solid is thus submitted to a state plan of stress. 1) Calculate the circonferencial and...
  7. K

    Need a valve for retention of compressed air in cylinder

    Hello all! I am designing a machine which consists of a horizontally mounted vessel which has a movable lid. The lid is moved up-down with the help of a pneumatic cylinder & is guided on linear bearings. My question is during maintenance, when the lid is UP, and for any reason there is a...
  8. R

    Cylinder filled with water deflection study

    I am having some problems understanding how to apply a distributed load to a cylinder due to it being filled with water. Attached is an image of the cylinder (placed horizontally). The cylinder is symmetric about the y axis. Water is to be filled from the left through the 1" hole. The cylinder...
  9. B

    Rotational Forces on a Hollow Cylinder

    Homework Statement I am trying to model a hollow cylinder of known radius r, length l and density rho. The cylinder is fixed on a horizontal axle along its longest axis (l) and will have a force F applied tangentially to its surface and perpendicular to its axis, with negligible frictional...
  10. R

    Confussion with setting up loading conditions on cylinder

    I have a horizontally supported cylindrical tube that is fixed at both ends. I modeled half of it to run the simulation on in Abaqus. The only load that it has is its weight. What I get confused at with cylindrical geometry is applying the load. How should I apply the gravitational load and at...
  11. moenste

    Mass of escaped air from a cylinder

    Homework Statement A cylinder containing 19 kg of comperessed air at pressure 9.5 times that of the atmosphere is kept in a store at 7 °C. When it is moved to a workshop where the temperature is 27 °C a safety valve on the cylinder operates, releasing some of the air. If the valve allows air to...
  12. C

    Volume of a Hollow Cylinder vs Cylindrical Shell

    In my physics lab, I am asked to calculate the volume of a hollow cylinder. The equation for the volume hollow cylinder below was given. Then, my curiosity made me wonder, is the volume of the hollow cylinder the same as the volume of a cylindrical shell used in calculus? At first though you...
  13. C

    MHB Volume of Parabolic Cylinder in 1st Octant: 710/3

    Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 25 − x2 and the plane y = 2. I already solved it and got 710/3 as my answer, I just wanted to make sure its the right answer
  14. jdawg

    Finding work for a gas in a piston cylinder

    Homework Statement A gas in a piston-cylinder assembly undergoes a process for which the relationship between pressure and volume is pV2=Constant. The initial pressure is 1 bar, the initial volume is 0.1 m3, and the final pressure is 9 bar. Determine the final volume and the work for the...
  15. T

    Speed of block as cylinder reaches bottom of circular track.

    Homework Statement A block of mass M=2kg with a semicircular track of radius R=1.1m rests on a horizontal frictionless surface.A uniform cylinder of radius r=10cm and mass m=1kg is released from rest from the top most point .The cylinder slips on the semicircular frictionless track.The...
  16. D

    Drag force of a cylinder with it's axis parallel to the flow

    Hello, I would like to know how to calculate the drag force per unit length of an infinite cylinder with it's axis parallel to the flow field, I had read about a post here previously titled " Drag force on cylinder in parallel flow" but the slender body approximation is not valid for inifinite...
  17. U

    Water flow out of a cylinder?

    Homework Statement Ok, so the height of the cylinder is 5.5 meters. The radius is 1 meters. There is a hole, .5 meters from the bottom(5 meters from the top), its radius is .02 meters. The question is how fast does water flow out, relative to time(this because the height of the water keeps...
  18. S

    3D object represent with primitive shapes

    Hi, Given a 3D object in R3 space can we represent it using three basic primitive shapes like Sphere, Cone and Cylinder? Would this claim be valid?
  19. T

    Mechanics of Materials: Deformation of a Hollow Cylinder

    Homework Statement Hollow Circular tube of Length (L) 600 mm is compressed by forces P (axially). Outside diameter (d2) is 75 mm. Inside diameter (d1) is 63 mm. Modulus of Elasticity (E) is 73 GPa Poisson's ratio (v) is 0.33. axial strain (ε) is 781 x 10-6 Find shortening of tube (δ). (This...
  20. gracy

    Electric flux calculation in case of a cylinder

    Homework Statement an electric field is uniform,and in the positive x direction for positive x,and uniform with the same magnitude but in the negative x direction for negative x.it is given that vector E=200 I^ (N/C) for x>0 and vector E= -200 (N/C) for x<0 .A right circular cylinder of length...
  21. A

    Electric Field of a Cylinder (Hollow/Solid) at the face

    Homework Statement Part a. A cylinder (with no face) is centered symmetrically around the z axis, going from the origin to infinity. It has charge density σ and radius R. Find the electric field at the origin. Part b. Same problem, except this time instead of a hollow cylinder with no face we...
  22. I

    Physics Challenge Question: Stability on a Cylinder

    Homework Statement A solid cube of side ##l = r*pi/2## and of uniform density is placed on the highest point of a cylinder of radius ##r## as shown in the attached figure. If the cylinder is sufficiently rough that no sliding occurs, calculate the full range of the angle through which the block...
  23. J

    [Physics 2 w/calc Uni] Cylinder inside of a cylindrical shell

    Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from...
  24. Sirsh

    Thermodynamics: Heat and Work in a Cylinder

    Homework Statement Homework Equations W = ∫pdV W = (1/2)*k*(x2212) F = p*A The Attempt at a Solution Assumptions made: 1. Quasistatic process. 2. Pressure is constant. Force balance on the piston reveals -> = <- p0*Apiston = patm*Apiston hence p0 = patm = 101 kPa From states 1-2...
  25. Rectifier

    Hydrostatic pressure - barrel vs. small cylinder of water

    This problem was translated from Swedish, sorry for any grammatical errors present. The problem The grey is liquid is water. The small container is a pipe made of glas and the big container is a barrel. Water is poured into the glas pipe. When water reaches 12m over the barrel top(lid) the...
  26. D

    What is the Maximum Force a Cylinder Can Support in a Front Loader?

    So the task is to calculate how much force a cylinder supports in a front loader when the load is held in a horisontal position. I have made a simplified diagram of the problem with the known data. I hope that my attached image makes any sense. Thanks in advance.
  27. 24forChromium

    Moment of inertia of a cylinder in unusual position

    See image. It would be better if you can show me the calculation process. EDIT: the axis of rotation goes right through the centre of the cylinder. NEVER MIND! GOT IT!
  28. Rectifier

    Nitrogen in a cylinder - temperature, work and volume

    This problem was translated from Swedish, sorry for any grammatical errors. The problem A cylinder with nitrogen gas inside is closed by a tight piston (that can slide without friction against the walls of the cylinder). The piston weighs ##s=12.5 kg## and holds the ##m=28## grams of nitrogen...
  29. F

    Can I Use an Air Cylinder for Pumping Alumina-Filled Polyester Resin?

    Hello I need to build a pump to transfer alumina filled polyester resin. Can I use something like this - http://www.ebay.co.uk/itm/1Pcs-KSC50x100-50mm-Bore-100mm-Stroke-Double-Action-Pneumatic-Air-Cylinder-/350908339995?hash=item51b3c4571b ? One to use resin pumping, other for moving the resin...
  30. D

    Cylinder with point mass angular momentum

    Homework Statement A uniform cylinder of mass M and radius R can be rotated about a perpendicular axle through its centre. A particle of mass m is attached to the cylinder's rim. The system is rotated with angular velocity w about the axle, which is held in a fixed direction during the motion...
  31. S

    Stress Determination in thin wall cylinder

    hi, i was wondering if a thin walled cylinder was storing water, where the pressure is dependent on the depth of water, how would you calculate the stress in the wall at some depth, eg are you allowed to use the thin walled pressure vessel stress formula: stress = pd/2t and use the water...
  32. J

    MHB Calculating the Optimal Dimensions for a cylinder.

    I have to calculate the optimal dimensions for a cylinder of this volume, if the amount of materials used to build it is to be kept to a minimum. The volume of the cylinder is = 498.76cm^3 THIS IS WHAT I HAVE SO FAR, V= pi R^2 , h= 498.76/pi R^2 S.A =2piR^2 + 2piRh = 2piR^2 +...
  33. T

    Cylinder Pressure of Combustion Engine

    hi, i want to ask about 4 time combustion engine torque. in my example we simulate a single cylinder gasoline 4 time engine which works 1000-4000 rpms and always have same fuel and air mixture in cylinder and so same burn pressure in each power time. these are the rules of question now i want...
  34. K

    Cylinder pulled by rope on a rough surface

    Homework Statement A rope is pulled off with a force F from a combined cylinder. the smaller cylinder's radius is r and the big one's is R. the cylinder rotates on a rough surface without sliding. the force makes an angle θ with the horizon. What's the acceleration's "a" magnitude and...
  35. L

    Why would changing to a larger brake master cylinder decrease braking pressure?

    Hi, I am in the process of restoring the brakes a 1974 Porsche 914 and upon reading up on a Porsche forum found a discussion about changing the original 17mm brake master cylinder with a 19mm one. A number of individuals indicated that doing so would reduce braking pressure and I was unclear as...
  36. darklord27

    Can an Ultrasonic wave penetrate a LPG cylinder

    Hey guys, First time poster here. Presently I'm doing a project to measure the levels of LPG remaining in an LPG cylinder. I'm currently trying out ultrasonic sensor that primarily works as a distance sensor(HCSR04). As far as I'm aware, the lower the frequency higher the penetration of the...
  37. G

    Electric field in the center of uniformly polarized cylinder

    Homework Statement Hollow dielectric cylinder, with inner radius a, outer radius b, and height 2h is uniformly polarized by volume. Polarization vector is normal on the bases of a cylinder. Intensity of polarization vector is given, P. The surrounding area is vacuum. Calculate intensity of...
  38. A

    Straight engine vs flat engine on a 1 cyl. motorcycle

    Hello everybody I just got an old underbone bike, which I'm planning to build and finish before the end of this year. I found the engine to be quite pathetic (a 4 stroke, carburetted, 100 cc flat engine) so I'm going to do an engine swap with a more powerful but similar engine configuration...
  39. W

    Force of a bar to stop a rotating cylinder

    Hi, I'm having conceptual problems for solving this one. 1. Homework Statement I drew a picture of this problem, which should show up below. Lengths x,a and b were given in the original picture. A rotating closed cylinder is braked with a bar. Its brake shoe is pressed in respect of point B...
  40. Q

    Fluid flow across a cylinder at an angle

    Hello, I need some help with a problem in fluid mechanics. Consider a situation where a cylinder ( of a given radius and length) is kept at an angle theta to the vertical, and a fluid flows across this cylinder. I need to determine the forces and moments acting on this cylinder, for different...
  41. D

    Liquid CO2 Volume\Weight Measurment in Cylinder

    Hello, I have been working on a personal project involving the transfer of liquid CO2. I want to figure out a way to measure the transfer of liquid CO2 from one cylinder (supply cylinder) to another (receiving cylinder) and get an exact measurement of how much CO2 was transferred into the...
  42. N

    Center of Mass of open top cylinder

    Homework Statement The attached diagram shows a uniform density hollow cylindrical shell with a solid bottom and an open top. It has radius R and height h. Find the height for the center of mass of this cylinder, taking the origin of the coordinate system at the center of the bottom. Use "pi"...
  43. Nathanael

    Object slides in rolling cylinder

    Homework Statement A small puck of mass m is carefully placed onto the inner surface of the thin hollow thin cylinder of mass M and of radius R. Initially, the cylinder rests on the horizontal plane and the puck is located at the height R above the plane as shown in the figure. Find the...
  44. M

    How to determine how much torque a hollow cylinder can take?

    I'd like to calculate how much torque a hollow cylinder along its axis can take before it will start to buckle. The cylinder is held at one end, and the torque is applied equally in discrete intervals along the length of the cylinder. In the example image above, the hollow cylinder is mounted...
  45. B

    Building a Flow Bench - Testing Cylinder Heads with a Pitot Tube

    Hello everyone, I'm in the process of building a flow bench to test cylinder heads. What I'm after is to make a pitot tube to measure port velocity. Any help would be appreciated. Thanks
  46. K

    Moment of inertia of a non-homogenous cylinder

    Homework Statement What is the moment of inertia round the axis of a cylinder length L, mass M and a linear distribution of mass with the radius R, zero at the center. Homework Equations Moment of inertia: ##I=mr^2#3 The Attempt at a Solution The density ρ=kr. what is k? the total mass is M...
  47. P

    Cylinder of gas raised to vertical

    Homework Statement A thin, closed, insulated cylinder of length L, filled with ideal gas (temperature T, mass M, total amount 1 mole) lies on a table. It is very gently raised to the vertical, after which equilibrium is reestablished. Does the entropy change? What is the temperature change (to...
  48. Absentee

    Heat of friction in cylinder-piston

    I believe I'm missing something, probably a very stupid question incoming: I am considering process with ideal gas expanding without piston-friction in constant temperature environment. Amount of heat taken from the reservoir is of the same amount as the work done by the expansion of the gas...
  49. J-dizzal

    Static equilibrium minimum cylinder mass problem

    Homework Statement Determine the minimum cylinder mass m1 required to cause loss of contact at A. Homework Equations ΣF=0, ΣM=0 The Attempt at a Solution Im not sure where to go with this one. the solution would be in terms of mass(m)
  50. George Zucas

    Hydraulic Cylinder Loading Conditions

    Hello, I am working on a hydraulic cylinder application that will lift some weight that is not aligned with the axis of the cylinder. Take a look at the picture and imagine that instead of ropes there is a hydraulic cylinder fixed to the beam doing the lifting. The load creates moment since it...
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