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.

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

    Maximum area for inscribed cylinder

    Homework Statement Inscribe in a given cone, the height h of which is equal to the radius r of the base, a cylinder (c) whose total area is a maximum. Radius of cylinder is rc and height of cylinder is hc. Homework Equations A = 2πrchc + 2πrc2 The Attempt at a Solution r = h ∴ hc = r - rc A =...
  2. U

    Drag force on a cylinder in an air tunnel

    Homework Statement Let's have a cylinder in air tunnel. The air is flowing around cylinder. I want to calculate a net force acting on the cylinder. Part of the incoming air hits the cylinder and its trajectory direction changes. For that reason we can see straight behind the cylinder lower...
  3. S

    Calculation of Pressure in a Cylinder with an orifice on its surface

    I want to calculate the pressure profile inside a cylinder whose initial pressure is less than the outside pressure and has a orifice on its surface to flow air through it. Air is a considered as compressible ideal gas and mass flow rate across a orifice is assumed isentropic. Also the...
  4. gasperz

    I Forced convection over a cylinder

    I am building an apparatus to measure how does fluid speed effect heat transfer from solid on fluid. fluid runs over a cylinder which inner side is kept at a constant temperature. A calculation for surface temperature profile was made for a similar eaxperiment were a flat plate was used instead...
  5. Const@ntine

    Calculating the Depth of a Cylinder Using Refraction

    Homework Statement A non-transclucent container in the form of a cylinder, has a diameter of 3.00 m, has its top part open, and is filled with water. When the sun created a 28.0 degree angle with the horizontal, the light doesn't illuminate the bottom of the container. What's the depth of the...
  6. A

    I On the Relativistic Twisting of a rotating cylinder (Max von Laue)

    I'll start with link describing the phenomenon: https://books.google.com/books?id=WTfnBwAAQBAJ&pg=PA43&lpg=PA43&dq=relativity+twist+rotating+cylinder&source=bl&ots=C2SDJNPF2K&sig=ImFDYGm_0qK7JoDU0ulsxLk3sMU&hl=en&sa=X#v=onepage&q=relativity%20twist%20rotating%20cylinder&f=false Quote: "A...
  7. C

    Inclined plane - a small sphere, a big sphere and a cylinder

    Homework Statement We place a cylinder with radius R, a sphere with radius R and a sphere with radius (2R). Which of the solids will roll out of the plane first? Assume no rolling resistance and no air resistance. Homework Equations 1) The net torque is the torque of the force of static...
  8. Atom

    What is the stress and pressure in a thin-walled cylinder?

    Homework Statement Homework EquationsThe Attempt at a Solution a) stressc = 3.1 x 109 (5655*10^(-6) + 0.471 (-2663*10^-6) = 17.53Mpa P = [17.53 x 10^6 x (7.7 / 1000) ] / (150 / 1000) = 899 947pa = 899.947kPa
  9. top12eaper

    Moment of inertia of cylinder with a rectangel shaped hole

    i know how to calculate the inersia for the cylinder, than i have to take away the inersia of the rectangel, but i can't find an equation for the inersia for a rectangel with the plane spinning perpendicular to the rotation axis, please help !
  10. DevonZA

    Thickness of a cylinder in a compound thin cylinder

    Homework Statement [/B] Note: inner cylinder thickness = 2.5mm difference between common diameters before shrinking = 4.305x10^-3mm Homework Equations The Attempt at a Solution a) I am not sure where to start without either the inner or outer cylinder diameter but I think I...
  11. J

    I Relationship between the radius and area of liquid in a cylinder

    Hello, I did a calculation to determine whether a liquid with a fixed volume ##V##, would be spread over a larger surface area ##A## on the inside mantle of a cylinder, if the cylinder has a larger radius ##r##. So I’d like to find a relationship between the radius ##r## and the area ##A## over...
  12. E

    Ideal gas in a cylinder with a piston

    Homework Statement A vertical cylinder of radius r contains an ideal gas and is fitted with a piston of mass m that is free to move. The piston and the walls of the cylinder are frictionless, and the entire cylinder is placed in a constant-temperature bath. The outside air pressure is p0. In...
  13. T

    Fluid Statics/depth in a cylinder

    Homework Statement Mercury is added to a cylindrical container to a depth d and then the rest of the cylinder is filled with water. If the cylinder is 0.8 m tall and the pressure at the bottom is 1.3 atmospheres, determine the depth of the mercury. (Assume the density of mercury to be 1.36 104...
  14. J

    Can cold air become water in a vacuum cylinder?

    can cold air become water in a vacuum cylinder?
  15. BiGyElLoWhAt

    A How to calculate the parabolic cylinder function D

    I have a computational project to do for quantum, and I am kind of tired of doing basic barriers, so I decided to try a quadratic barrier. Well, you get garbage. However, since I'm working with numerical approximations anyways, I figured I might try it, but I am not sure how to proceed. Here is...
  16. V

    Rolling cylinder or slipping cylinder reaches bottom first?

    Homework Statement Two identical cylinders are released from the top of two identical inclined planes. If one rolls without slipping and the other slips without rolling then which one will reach the bottom first? How will their speeds compare when they reach bottom of incline? I am not sure if...
  17. C

    Gas work -- Heating the gas in a cylinder with a weighted piston on top

    Homework Statement In the open cylindrical chamber is the piston of the total mass m. The initial air pressure inside the container is pa, the initial temperature T0. The initial height of the piston above the bottom h0. Now we start the gas supply heat to the moment when the piston reaches the...
  18. JohnS-I

    Torque needed to rotate a cylinder

    Hello, I'm designing a machine as a final assignment for my internship. It's a machine that wraps SS tubing around a cylinder, making coils. While trying to figure out how much torque I'd need to rotate the cylinder I found that I'm really in the dark on the subject (the teacher I had didn't...
  19. Adrian379

    Thermodynamics problem: Piston in cylinder

    Homework Statement [/B] A horizontal cylinder with length L=1m and section S=2*10^(-3) is divided in two parts by a piston. In theese compartments is air at pressure p0=10^5N/m^2 and same temperature. The piston move with h=0,4m from initial position. Which is force to hold piston in this...
  20. V

    Find the linear acceleration of points on a rolling cylinder

    Homework Statement [/B] A uniform cylinder with radius r is rolling down an incline without slipping as shown in diagram below. It's angular acceleration is α and acceleration of it's center of mass C is a. What will be the linear acceleration of point of contact P and another point Q on the...
  21. Bonapartist

    Thermal energy problem: Gas expansion in cylinder

    Homework Statement A vertical heat-insulated cylinder is divided into two parts by a movable piston of mass m. Initially, the piston is held at rest. The top part is evacuated and the bottom part is filled with 1 mol of monatomic gas at temperature 300 K. After the piston is released and the...
  22. Arman777

    Cylinder rod charge density (Gauss Law)

    Homework Statement Theres a cylinder rod inner radius a outer raidus b.we want to find electric field between a and b,like point r (or radius r) a<r<b. Homework Equations Gauss Law The Attempt at a Solution [/B]I am trying to find Q enclosed but something make me confused.I am...
  23. Jason Louison

    Automotive Formulas For Engine Cylinder Perssure

    Hi! I am a new member to this great Forum! I am so excited to be a part of this wonderful community. Anyway, as the title suggests, I am looking for a way to calculate the pressure in each cylinder of any Four Stroke Engine at any given crank angle of Cylinder One. I have been trying creating a...
  24. E

    Potential of dielectric cylinder with constant polarization

    Homework Statement The dielectric cylinder is radius R and thickness d. Origin is at the center of the cylinder, which is oriented along the z-axis. It has polarization P=pz∧I need to calculate the potential V(0,0,h) at h>d/2. Homework Equations σb=P⋅n∧...
  25. E

    Potential around charged infinite cylinder in E field

    Homework Statement The cylinder has a radius a and is perpendicular to the electric field, E(r)=E(x_hat). It also carries charge Q. The potential is of the form V(r,φ)=A0+A0'ln(r)+∑(n=1 to ∞)((Ancos(nφ)+Bnsin(nφ))rn+(An'cos(nφ)+Bn'sin(nφ))r-n) Homework Equations V=-∫E⋅dl The Attempt at a...
  26. jlmccart03

    Electric Flux through half a cylinder

    Homework Statement In (Figure 1) take the half-cylinder's radius and length to be 3.4 cm and 15 cm, respectively. If the electric field has magnitude 5.3 kN/C, find the flux through the open half-cylinder. The surface here is the right half of the surface of a full cylinder. The surface does...
  27. Hepth

    Dynamics of pumping fluid into a cylinder with an air hole?

    I should be able to do this, but its been a while and maybe I'm making this more difficult that it should be. Assume you have a cylinder nearly sealed but with an outlet hole at the top. I want to pump a fluid into the canister, pushing the air out of the hole, and time how long it takes. The...
  28. P

    Symmetry Argument for Cylinder

    Homework Statement I want to check my understanding of the symmetry arguments that allow for E to come out Gauss's Law and the symmetry arguments that allow for E vector *dA to become EdA. Specifically for an infinitely long cylinder. Homework Equations ∫EdA=q/ε The Attempt at a Solution So...
  29. R

    Charge on Cylinder Shell: Q1 + Q2

    Homework Statement The figure is a section of a conducting rod of radius R1 = 1.60 mm and length L = 11.30 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 10.5R1 and the (same) length L. The net charge on the rod is Q1 = +3.67 × 10-12 C; that on the shell is Q2 =...
  30. S

    Putting rotating cylinder on the ground

    Homework Statement We put a cyllinder with unknown mass and radius 0.1m which rotates with angular velocity 10 /s around its geometric axis on the horizontal ground. After what time does the cyllinder roll without slipping? Coefficient of friction is 0.1. Homework Equations F=ma M=J ⋅ ∝ The...
  31. R

    A How to calculate twist rate for a cycloid on a cylinder

    Hi all this is my first post. Okay I can have a rifle cut into a barrel at any twist rate I want, so I want to see if a cycloid can work for what I want. Now most twist rates are static so as an example one barrel may be 1 turn in 12 inches for 26 inches an example of what is called a gain...
  32. S

    Finding frequency of a specific mechanical oscillator -- horizontal rod on pivot

    Homework Statement There is a cyllinder with radius 0.5 m fixed on the wall. We put a 6 metres long thin rod with mass 0.3 kg on it, which does not slip. I would like to calculate the oscillating time. It is a part of a clock, so the oscillating time is probably 1 or 2 seconds, but I got...
  33. D

    Circumferential tangent in the cylinder

    Homework Statement A cylindrical vessel of height ##H## and radius ##R## contains liquid of density ##\rho##. Determine the circumferential tension at a height ##h##; also determine its maximum and minimum values. This is the scan of the original question(solved), I couldn't understand what...
  34. R

    MHB Finding Moment of Inertia for Solids: Sphere, Cylinder & Cone

    question 1 The vector field F(x, y, z) = 2xi + 2yey2+z j +(ey2+z + cos z) k is conservative. Find a corresponding potential function. * e raise to power (Y square +z) Question 2 Consider a solid sphere of radius R, a cylindrical shell of outer radius R, inner radius a, and height h, and a...
  35. S

    Gravitational force on an astronaut from a nearby massive torus

    Homework Statement There are a big object and an astronaut in space. How do we calculate the gravitational force between them. I enclose a photo. I have given the mass of an astronaut, the dimensions of this giant ring and density of the ring. There is also a mistake in the photo. The astronaut...
  36. FallenApple

    I Cylinder Beats Sphere in Race (weird case)?

    Ok so we all know that when rolling down a fixed incline under gravity, a sphere will beat a cylinder in a race due to the fact that it has less rotational inertia. However, in the following set up, the cylinder beats the sphere. Say the cylinder and sphere are side by side on a horizontal...
  37. C

    A Can a simply supported beam be a cylinder?

    I have an application where I am trying to figure out the shock load being applied to a metal pin (load cell). It is a cylindrical load cell which is supported at either end, and compressed in the middle. There is a slight gap between the end supports and the section compressed in the middle...
  38. H

    Angular acceleration of a cylinder rotating around another

    For Q11(b), what is the relation between the angular acceleration ##\alpha## of the bottom right cylinder and its horizontal acceleration ##a_x##? I get ##\alpha=\frac{a_x}{\sqrt{3}R}##, which is half the given answer (7.84) below. After the bottom right cylinder rolls around the top cylinder...
  39. Z

    Magnetic field in an offset hole in a conductor cylinder

    Homework Statement A long (infinite) wire (cylindrical conductor of radius R, whose axis coincides with the z axis carries a uniformly distributed current I in the +z direction. A cylindrical hole is drilled out of the conductor, parallel to the z axis, (see figure above for geometry). The...
  40. Z

    Subtraction and division problem: volume of 3 balls in cylinder

    Homework Statement Three identical balls fit snugly into a cylindrical can: the radius of spheres equals the radius of can, and the balls just touch the bottom and the top of the can, If the formula for the volume of a sphere is V = 4/3 PI * radius * radius * radius, what fraction of the...
  41. blixel

    Find the net work required to accelerate a cylinder

    Homework Statement A merry-go-round has a mass of 1440kg and a radius of 7.50m . How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 7.00s? Assume it is a solid cylinder. Homework Equations I believe my relevant equations are: ICYL=½mr2 ω=(Δθ/Δt)...
  42. C

    Moment of inertia of a hollow cylinder derivation

    Homework Statement Show that a hollow cylinder of radius R_1, outer radius R_2, and mass M, is I=1/2M(R_1^2+R_2^2) if the rotation axis is through the center along the axis of symmetry. Homework Equations $$dm = \rho dV$$ $$dV = (2 \pi R)(dR)(h)$$ The Attempt at a Solution I was mainly...
  43. doktorwho

    Velocity of a Point on a Rolling Cylinder: Solving for the Center Velocity

    Homework Statement With the equations of motion in polar coordinates given by ##r(t)=pcos{kt^2}, φ(t)=kt^2## determine the velocity intensity of a point ##M## on the circumference of a cylinder which is rolling without friction on a horizontal plane at time ##t## is the velocity of the center...
  44. D

    Calculating Emax in concentric cylinder

    The general formula to calculate maximim electric, Emax in concetric cylinder is Emax= V/a ln (b/a). But how does the formula differentiate if there are 3 inner cylindrical electrode?
  45. Jefferson Yun

    What is the magnetic field inside a cylinder?

    The axis of the cylinder is perpendicular(not parallel) to M, magnetization. It's not hard to find bound surface current density, but it depends on the angle while the answer says the magnetic field is uniform inside the cylinder. Anyone can silve this problem??
  46. M

    Gravity-induced viscous flow around a cylinder

    Homework Statement A viscous liquid with density and viscosity ##\rho## and ##\mu## respectively is discharged onto the upper surface of a cylinder with radius ##a## at a volume flow rate ##Q##. This is a gravity-driven flow, and it forms a film around the cylinder--see picture. What is the...
  47. doktorwho

    The Electrical energy of a conducting cylinder

    1. The problem stsatemesnt, all variables and given/known data A cylinder conductor of length ##l##, inner radius ##a## and outer radius ##b## is half-filled with a liquid dielectric as shown in the picture. The cylinder is attached to a battery of constant voltage ##U## and then separated from...
  48. franktherabbit

    Determining the capacitance of the two conductors

    Homework Statement For a given system, a conducting cylinder with radius ##r=a## with a linear charge density ##Q'## and a conducting surface at a distance ##z=h## from the cylinder, calculate the linear capacitance of the cylinder.Take that ##h>>a## ##C'=\frac{Q'}{U}## Homework Equations 3...
  49. TheSodesa

    A gyromagentic ratio for a cylinder

    Homework Statement In classical physics, a system's magnetic moment can be written like so: \mu = g\frac{Q}{2M}L, where ##Q## is the total charge, ##M## is the total mass of the system and ##L## the angular momentum. a) Show, that for a cylinder (##I = \frac{1}{2}MR^2##) spinning around its...
  50. D

    I Surface roughness and Magnus force of a cylinder

    I know that the surface roughness plays an role in the Magnus force exerted of a rotating cylinder. But, i cannot find an equation that includes the surface roughness in the equation of the Magnus force. If someone could state the formula (and preferably a source to read up more on it) it would...
Back
Top