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. samm12345

    What is the final angular velocity of each cylinder

    Problem Statement: The uniform 4-kg cylinder A, of radius r = 150 mm, has an angular velocity w = 50 rad/s when it is brought into contact with an identical cylinder B which is at rest. The coefficient of kinetic friction at the contact point D is uk. After a period of slipping, the cylinders...
  2. Physics lover

    Current density as a function of distance from the axis of a cylinder

    I first took out the variation of conductivity along the radius of cylinder.Also we know that J=sigmaE.Therefore i have to find variation of E also.But how will i find that as potential is also not given.Help.
  3. L

    A Definitions of Cylinder Sets and Cylinder Set Measure

    I'm trying to learn about Abstract Wiener Spaces and Gaussian Measures in a general context. For that I'm reading the paper Abstract Wiener Spaces by Leonard Gross, which seems to be where these things were first presented. Now, I'm having a hard time to grasp the idea/motivation behind the...
  4. Charlie Cheap

    Angle of attack for a rod/piston in a cylinder

    Is there a way to determine the best rod length/piston pin position/stroke, to achieve maximum RPM without too much cylinder wall stress? Looking from the crank end as it rotates, it appears as it reaches maximum outboard swing, it causes stress on the cylinder wall as the piston starts up the...
  5. G

    Burst valve obligation on hydraulic lifting cylinder

    Hi everyone, I heard that there is a regulation\obligation that requires burst valve installation on lifting hydraulic cylinders. My questions are: Is this requirement apply to all lifting appliances or just appliances involve with personel lifting ? Is this requirement apply to forklift...
  6. L

    Sinking a cylinder with varying hole sizes

    I'm trying to write up some theory for this experiment I'm carrying out. I'll be changing the radius of the hole at the bottom of the cylinder, and I think the time taken for the cylinder to completely submerge is inversely proportional to the size of the hole. Problem is that I'm stuck at...
  7. mishima

    I Elliptic Cylinder Coordinates, Acceleration Derivation....options?

    I've been deriving ds, velocity and acceleration for an elliptic cylindrical coordinate system. When it comes to ds and velocity, its quite simple and quick. The acceleration however is tedious by my current method and I'm wondering if there is some shortcut or superior method I'm not aware...
  8. theycallmevirgo

    Analog (mechanical) pressure gauge for a single cylinder filter

    https://www.flairespresso.com/product-page/flair-signature made a manual espresso machine and specify using 30 lb of pressure in the manual. In order to determine the correct pressure, they literally tell the user to push down on a kitchen scale. I'm considering a competing product, and that...
  9. D

    Determine the acceleration of the cylinder axis if there is no slip

    So I first wrote the moment of inertia of the cylinder, since it says that it is thin-walled, I think that its moment of inertia is ##I=\eta mR^2##. After that I wrote the sum of torques, I think that there are three forces that cause torque, the two forces of friction, the one caused by the...
  10. Zack K

    Electric field of a hollow cylinder

    I uploaded a diagram of the problem. I treated this as many thin rings and integrated it over the length. I placed my origin as in the same place as the uploaded picture. Finding the electric field due to one small ring: ##\vec r =\langle w-x, 0, 0 \rangle## where ##x## is the distance of the...
  11. M

    Stepper torque calculation to drive a solid cylinder

    Hi All, I'm working on some design and apparently my physics expertise are getting rusty,i'd appreciate some help with the following:- I need to calculate the required torque for a stepper motor to rotate a solid cylinder with the following properties:- radius : 20cm height: 12cm density : the...
  12. sombr1o

    Magnetic field from a thin current-carrying cylinder

    The question is to find the magnetic field immediately outside a thin hollow cylinder that carries a uniform steady current I on its surface. This is my solution but what I get contradicts amperes law.
  13. resurgance2001

    Rod resting on a cylinder, find mu

    My solution is on the files. The basic approac was the take moments about A. Then find the reaction at C. Use the reaction at C to find the friction between rod and cylinder. I take it to mean from the question that the friction between the rod and plane is equal to the friction between...
  14. JD_PM

    Checking divergence theorem inside a cylinder and under a paraboloid

    I am checking the divergence theorem for the vector field: $$v = 9y\hat{i} + 9xy\hat{j} -6z\hat{k}$$ The region is inside the cylinder ##x^2 + y^2 = 4## and between ##z = 0## and ##z = x^2 + y^2## This is my set up for the integral of the derivative (##\nabla \cdot v##) over the region...
  15. N

    What are the dimensions of angular acceleration divided by radius?

    Hey guys, so I am a little stumped on this problem. Can y'all help? I think for a) it is true but am not sure For b) I believe is is false because the angular acceleration would cause the angular speed to increase For c) I think it is true since acceleration is constant so T=ma is constant Does...
  16. F

    Finding Flux Through a Cylinder with the Divergance Theorom

    Homework Statement [/B] I’ve attached an image of the problem below. I need to use the diveragance theorem to find the flux through a cylinder. Vector field: F(x,y,z) = 4xi Height: 5 Radius: 3 Homework Equations By the DT, flux is equal to the triple integral of the divergence of the...
  17. C

    Calculate Pressure vessel Collapse Pressure

    Homework Statement I have a simple cylindrical pressure vessel with thickness 100m and inner radius 254mm,.the cylnder has flat head closed ends but these are thickness 30mm. I need to calculate the pressure that would cause the vessel to collapse given material properties E=207Gpa, poissons...
  18. K

    Half infinite cylinder uniform charge

    Homework Statement Hi. in my problem there is an infinite half cylinder uniformly charged with ρ. What is the force is the cylinder is making on a test charge on a charge located on the position that is shown on the following picture: Homework Equations ∫qdQ/(r2) The Attempt at a Solution Well...
  19. A

    Interference fringe pattern on a thin cut cylinder slice

    A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown in the figure. The observed interference fringes from this combination shall be ______. My thoughts The thin slice will act as thin film but of half cylindrical...
  20. E

    Formula for a Non-uniform Cylinder

    Mentor note: moved from non homework thread to here hence no template. Hi, I wanted to calculate a non standard Cylinder. It have a Height (h), with a base radius of (r1) and a top radius (r2). It varies linearly along the height. How can I come up with a formula for that? Since my girlfriend...
  21. Othman0111

    Bessel Function Boundary Condition on the top of a Cylinder

    Hi everyone, I'm working through the boundary conditions and I could not figure out what to do with the last boundary condition (when z=L) I know that the values for K are: How so? 1. Homework Statement A hollow right angle cylinder of radius a and length l. The sides and bottom are...
  22. CharlieCW

    Force of a magnetized cylinder on a ferromagnetic surface

    Homework Statement A long straight cylinder with radius ##a## and length ##L## has an uniform magnetization ##M## along its axis. (a) Show that when its flat extreme is placed on a flat surface with infinite permeability (i.e. a ferromagnet), it adheres with a force equal to: $$F=8\pi a^2 L...
  23. brotherbobby

    Rotation of a Solid Cylinder

    Problem : A cylinder of mass ##M## and radius ##R## rotates with an angular velocity ##\omega_1## about an axis passing through its centre of symmetry. Two small masses each of mass ##m## (small in comparison to the radius of the cylinder) are glued to either of the two circular faces of the...
  24. Abhishek11235

    Troubleshooting a Discrepancy in Atwood Cylinder Solution

    Homework Statement The problem is in attached screenshot. Now,I solved this using force/torque method. However ,I got different solution as given in solution manual. Where I have gone wrong? Homework EquationsThe Attempt at a Solution Applying F=ma to cylinder: $$mg-T=ma$$ Applying ##\tau =...
  25. S

    Torque required to rotate a hollow cylinder containing chips

    I am designing a prototype to remove cutting oil from waste metal chip during Gun Drilling. My prototype consists of a netted(meshed) metal cylinder rotating horizontally about its axis with help of shaft and a pressurised air blown from above. The metal chips will be put inside netted cylinder...
  26. S

    B Solid angle by placing one disk on a cylinder

    Hello, I am trying to find an analytical expression to determine the solid angle subtended by a disk source onto the face of the cylinder. I will appreciate if someone can provide me directions. I am aware how to calculate solid angle by a point source to cylinder's face ( omega =...
  27. S

    1-D Heat Distribution in Long Cylinder

    Hi there, I've got a Heat Transfer problem that I can't seem to get right. I will list all information in the problem without 'interpreting' it: Givens: 100 cm long cylinder filled with hot water, and constantly heated to maintain the water at 100°C. Heat is transferred via conduction from...
  28. CptXray

    Find the magnetic field inside the cylinder

    Homework Statement There's a very long cylinder with radius ##R## and magnetic permeability ##\mu##. The cylinder is placed in uniform magnetic field ##B_{0}## pointed perpendicularly to the axis of cylinder. Find magnetic field for ##r < R##. Assume there's a vacuum outside the cylinder...
  29. CptXray

    Flow Around a Cylinder with Linear Vortex and Points of Stagnation

    Homework Statement Find the flow around a cylinder with radius ##a## generated by linear vortex ##\Gamma## in point ##z=b##. Find points of stagnation. Also ##b>a## Homework Equations Complex potential of vortex: $$\omega_{vortex} = \frac{\Gamma}{2\pi i}\ln{z}$$ Milne-Thomson circle theorem...
  30. R

    Cylinder rolling down the hill

    Homework Statement A solid cylinder rolls down an inclined plane because of stiction. How does angular velocity change over time? Given: ##m,R,g,\alpha,\mu## where ##\mu## is the friction coefficient Homework Equations [/B] ##J_{cm} = 1/2 m*r^2## moment of inertia m = mass of the cylinder...
  31. JD_PM

    Cylinder lying on conveyor belt

    Homework Statement You buy a bottle of water in the store and place it on the conveyor belt with the longitudinal axis perpendicular to the direction of movement of the belt. Initially, both the belt and the bottle are at rest. We can approach the bottle as one cylinder with radius ##R##, mass...
  32. Y

    Force acting on the area of the cylinder due to gas

    Homework Statement Homework Equations pV=nRT The Attempt at a Solution I know the volume of the cylinder, which is Al. So I plugged this into the ideal gas law formula, and got answer B. However, the correct answer should be D. I see the Boltzmann's constant there in the equation, and I do...
  33. gibberingmouther

    Swinging a Hollow Tube vs. Solid Cylinder

    I know hollow tubes have bigger moments of inertia than solid cylinders, assuming their masses are the same. But which one would swing better if you used it like a sword? I'm thinking that the tube would be harder to get moving but would have more rotational momentum and thus be harder to...
  34. olgerm

    Angular speed that breaks a spinning body apart with inertial stress

    How to find the angular speed, on which a spinning hollow cylindrical body breaks due to inertial stress(force)? I found 2 sources(http://www.roymech.co.uk/Useful_Tables/Cams_Springs/Flywheels.html (last 2 equations) ...
  35. raclemai

    I need to maximize my RPMs in a single cylinder flywheel

    I am working on a flywheel single-cylinder engine powered by a 40 psi air compressor. My task is to achieve as many RPMs as I can. I have already bored two exhaust ports in the frame as shown in the pictures attached. I've done some 600grit sanding on points of contact, am using lubricant prior...
  36. J

    Cylinder rolling on a moving board

    Homework Statement A rectangular board laying on the ground of mass ##M## is pulled with a force ##F## to the right, while a cylinder of mass ##m##, radius ##R## rolls without slipping on the board. Assume there is no friction between the board and the floor. Which way does the cylinder roll...
  37. M

    Stresses in the bending of a thin walled cylinder

    I am looking into the bending of a thin walled cylinder about it's neutral axis. Should be simple enough, it is just Mr/I. However, that is the maximum stress at the outer fibers of the cylinder and I want to find an approximate expression for the load per unit circumference on a small element...
  38. G

    Cylinder with Displaced Center of Mass Rolling Down Incline

    Homework Statement A rigid cylinder of radius ##R## and mass ##\mu## has a moment of inertia ##I## around an axis going through the center of mass and parallel to the central axis of the cylinder. The cylinder is homogeneous along its central axis, but not in the radial and angular directions...
  39. CLARA

    A vertical cylinder fitted with a heavy leak-proof piston wi

    Homework Statement HERE IS THE QUESTION A vertical cylinder fitted with a heavy leak-proof piston with diameter 84.0 mm contains air (under the piston) of density 1.59 kg/m3 in thermodynamic equilibrium with the surrounding atmosphere, which is at 100 kPa and 39 oC. Determine the mass of the...
  40. Adgorn

    Spivak: Conic Sections appendix, problem 1

    Homework Statement "Consider a cylinder with a generator perpendicular to the horizontal plane; the only requirement for a point ##(x,y,z)## to lie on this cylinder is that ##(x,y## lies on a circle: ##x^2+y^2=C^2##. Show that the intersection of a plane with this cylinder can be described by...
  41. mishima

    Surface of a Cylinder inside a Sphere

    Homework Statement This is a problem from Boas, Mathematical Methods of the Physical Sciences chapter 5, section 5, number 6. Find the area of the cylinder x^2+y^2-y=0 inside the sphere x^2+y^2+z^2=1. Homework Equations This section deals with projecting curved areas onto a coordinate plane...
  42. T

    Nitrogen pneumatic gas ram -- force to compress the piston in a cylinder

    Hi, Can some one point me to where I can workout the amount of force required to compress a niitrogen filled ram. Ram has an 80 mm bore and 172 mm stroke. We have filled it with nitrogen to both 1 and 1.5 bar. thanks Brett
  43. SirMarx01

    Automotive What is the compression force of a ring seated inside a cylinder

    Hello. I am finding out how many normal force between ring and cylinder. I try to find around for many hours but get noting. there are 8.2 mm inner diameters than put in 8.6 mm cylinder. The hardness of sealing element is 55 ShA. Contact area is 48.63 mm^2. I have data and drawing in attachment...
  44. B

    Model pressure loss vs time for air in a cylinder w/ hole

    Related to an engineering project I will be working on. The situation is that essentially I will have a closed cylinder (5.5 in x 26 in) with a small 15mm hole on the side (not on a circular face), which allows the air inside to be at equilibrium pressure/temperature with the outside. Then a...
  45. S

    Rolling Down an Off Center Cylinder on an Incline

    Homework Statement A cylinder of radius a and mass m contains a point mass, also of mass m, located a distance ##a/2## from the symmetry axis. The cylinder is placed on an incline, which is initially horizontal, but is very slowly raised. Assuming the cylinder cannot slide on the incline, at...
  46. B

    Velocity of a hollow cylinder at the bottom of an incline

    Homework Statement I was looking at the idea that a hollow cylinder will have less velocity than a solid cylinder at the bottom of an incline. I can find the velocity of the hollow and solid cylinder from the following: PE = Translational KE + Rotational KE From that equation I find v and I...
  47. I

    Force Calculation -- Hydraulic cylinder and a rotating arm

    Hi There, Long time reader, first time poster.. I hope someone out there can help me. I'm designing an add-on to an existing piece of equipment and I'm unsure of how to calculate the resultant force output from a hydraulic cylinder. On a straight push, the chosen hydraulic cylinder has an...
  48. F

    I Calculating E Field Inside Cylinder of Finite Height

    I have a cylinder with radius r and height h and a uniform charge density. Now I am supposed to calculate the E field inside the cylinder. If the cylinder was infinitely long the symmetry would dictate that the field can only point radially outward, so gausses law would give me a field of zero...
  49. I

    How long will it take for a gas cylinder to empty?

    The main aim of my question is to find time taken by gas filled tank while emptying (from full to zero) it into atmosphere? I require a set of equations which might be used in the calculation of such a situation. Known parameters are: 1. Pressure inside the gas tank. 2. Dimension and shape of...
  50. S

    Induced magnetic field in a cylinder

    Hello! I am confused about the first EM problem on http://web.mit.edu/physics/current/graduate/exams/gen2_F00.pdf (page 4, with the cylinder in a magnetic field). The solution can be found http://web.mit.edu/physics/current/graduate/exams/gen2sol_F00.pdf. In part a the solution is...
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