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. T

    Computing Cylinder Pressure from Temperature Trace

    I'm just trying to put together a very basic engine model with extremely limited combustion. Basically, I am modeling isentropic compression, combustion (using LHV to calculate the delta T), and isentropic expansion. At the moment, I am calculating a peak cylinder temperature under motoring of...
  2. A

    Continuity and Bernoulli's equation in air

    Hi, I'm trying to understand vortex shedding and how the Karman vortex street occurs when air flows around a cylindrical object, so far it's going OK but then I came across this part of the explanation which leaves me confused: "Looking at the figure above, the formation of the separation...
  3. S

    Velocity of current-carrying cylinder

    Homework Statement A cylindrical rod of length w carries a current I as shown(perpendicular to B) and is bathed in a field B perpendicular to the plane in which is a " shaped rail. The rod rolls without slipping on the rails, its length perpendicular to the two parallel rails and equal to the...
  4. B

    Coefficient of friction between wrench jaws and cylinder

    Homework Statement The figure shows an adjustable pipe wrench, drawn to scale. The geometry of the mechanism is arranged so that the jaws clamp more tightly as force is applied to the handle. Friction between the jaws and the pipe transfers a torque from the jaws to the pipe. Find the critical...
  5. P

    Units for pressure in a cylinder

    I am calculating pressure on a spherical cylinder of 10 mm diameter by wind tunnel. when measuring values in manometer filled with water which density is 1000 kg/m^3 so by hydro-static formula the pressure difference is [P2-P1=ρg(h2-h1)] so by this formula the ρ unit is in kg/m3 and gravity(g)...
  6. M

    MHB Find the force and the torque so that the cylinder is in balance

    Hey! :o At the cylinder of the picture there are static pressures from environment fluid of density $\rho$. If we neglect the atmospheric pressure, calculate how much force and how much torque is needed so that the cylinder balance. In my notes there is the solution, but I haven't really...
  7. anchonee

    Finding the product moment of inertia of this cylinder

    So the following question is attached (There is another thread with the same question but no solution to what I am asking on there) Now according to several solutions, apparently IYZ is equal to 0, and they reason this by saying that the geometry is symmetrical. However when looking at the...
  8. K

    Cylinder on a decelerating truck

    Homework Statement A truck with a cylinder of mass M and moment of inertia ##I=kMR^2## on top has initial velocity v0 and decelerates with deceleration B. the cylinder is attached with a rope to a weight m. the coefficient of friction is μ. The outer radius of the cylinder is R and the smaller...
  9. magnetpedro

    Area of trapezoid formed by slicing a cylinder

    What is the equation of the area of the trapezoid when a cylinder of radius R is cut by a plane inclined at an angle α? (Orange area of the figure) How can I relate it with Abase=π*R2 or with Ainside=2*R*L? Any hints please? Thank you very much in advance.
  10. Roodles01

    How Do You Calculate Average Charge Density in a Cylinder?

    Homework Statement A cylinder of radius a and length l has charge distribution ρ=Cr2 where C is a constant and r is radial distance in cylindrical coordinates. Derive an expression for the average charge density within the cylinder. Homework Equations Well, charge density given is within the...
  11. R

    Calculation for knowing duration of gas cylinder

    I know the total volume of a gas cylinder, the pressure in it, and the outlet pressure that needs to be maintained. The flow rate is also known. How should I calculate the total duration the cylinder will last? Also, what should vary if the cylinder is a liquidified gas cylinder?
  12. Aavatar

    Magnetic Field of a rotating Cylinder

    Homework Statement .[/B] Given an infinitely long charged metal cylinder that is rotating with an angular velocity ##\omega## The charge density per unit length is ##\rho##. Find the magnetic field within the cylinder. I'm trying to solve this problem by using Ampere's Law. But couldn't reach...
  13. J

    Hydraulic cylinder (Shell) stresses

    Hello guys, this is my first time here take an apology if I choose wrong section of forum. I just want to know should in shell of double-acting hydraulic cylinder (as in hydraulic presses ) should longitudinal/axis stress be analyzed beside radial and Circumferential/hoop stress and take in...
  14. S

    Stream around a perturbated cylinder

    Homework Statement I know that the following problem is really long but bear with me. The questions I have are quite simple. The problem: Calculate the speed profile of an inviscid fluid around a perturbated cylinder. The radius of the cylinder is given as $$r=R(1-\varepsilon \sin ^2 \Theta)$$...
  15. K

    Infinitely Long Charged Cylinder in a Maxwellian Plasma

    Hi guys, having a hard time figuring out where to start on a plasma physics related problem. Homework Statement An infinitely long metallic cylinder with a radius of ##r_0## is immersed in a Maxwellian plasma. An electric potential, ##\phi_0##, is applied to the cylinder. Assuming that the...
  16. T

    Vortex Shedding, Cylinder vs. Cuboid

    I have been reading papers now for the last few weeks and I have taken from all the information so far that vortex shedding from a cylinder happens periodically for reynolds numbers anywhere between 90 and 1000. It seems to me that there is no actual way of defining the specific parameters of...
  17. R

    Pressure and force in a cylinder

    A cylinder containing oxygen gas O2 has a piston that can move unfazed by friction. The piston has a diameter of d = 16cm. The oxygen gas has a temp of 40,0 degrees Celsius and a pressure of 145kPa. The pressure outside the cylinder is 101kPa. The piston is held in a stationary position s =...
  18. mooncrater

    Angular Momentum Conservation in Impulsive Blow: Rolling and Climbing Cylinder

    Homework Statement The question says: A uniform solid cylinder rolling with angular velocity ##\omega## along a plane surface strikes a vertical rigid wall. With what angular velocity the cylinder begins to roll up the wall because of impulsive blow? It is observed it rolls without sliding...
  19. S

    Need help finding the minimum surface area of a cylinder?

    Member warned about posting without showing an effort 1. Homework Statement 'Using the graphing function on your Graphics Calculator, or otherwise, determine the radius for a minimum Surface Area.' I HAVE NO IDEA WHAT TO DO? Homework EquationsThe Attempt at a Solution
  20. H

    The x,y,z coordinates of CM of a solid cylinder

    I have found via integration that the y coordinate is $$y =h/2 = 120 mm$$. The x coordinate is $$x = \frac{-4r}{3\pi} = -51.9mm$$ and the z coordinate is $$z = r - \frac{4r}{3\pi} = 69.1 mm$$. I have no answers in my textbook so can't confirm whether i am correct or not.
  21. R

    Dielectric Cylinder Polarization (Electrostatics)

    Homework Statement An infinitely long dielectric cylinder with radius R and relative permittivity ##\epsilon_r## contains a free charge density given by: ##\rho(s)= ks## for s<R and 0 for s>R, where k is a constant. Find the polarization P and any volume or surface polarization charge...
  22. M

    Finding work done in compressing (forging) a solid cylinder

    Homework Statement The problem is asking to find the change in temperature of forged cylinder. I know how to calculate this, , however I am struggling to find the work done on the cylinder, which is required to solve this problem. The cylinder is annealed copper, which is compressed from a...
  23. Alvaro Vargas

    Torque Required for Rotating a Cylinder

    Hello everyone, I am new to this forum, and here is my first question. I need some help in a particular case regarding torques. Most of the examples given anywhere on the web and books have rotations which are affected directly by gravity like pulleys and such, but, what if I want to calculate...
  24. T

    Single cylinder engine dynamometer

    i am working with a Honda Gx-35 engine (1.2kw and 1.9 N-m) for a project and wish to make a dynamometer to measure its torque and hp.Was wondering whether an electric motor or an alternator should suffice my needs? wont the voltage regulator in the alternator keep my o/p constant? please help
  25. JesseJC

    Inclined plane with block and cylinder, pulley with mas

    Homework Statement Find the acceleration of the system if the mass m1 is a disk with radius R rolling down an incline which makes an angle theta with the horizontal, and the disk is connected to a pulley with mass M and radius R, which is connected to a block m2 hanging from that pulley. The...
  26. cricket0140

    How many balloons can be filled from the cylinder

    Homework Statement :[/B] A gas cylinder contains 4.00x104cm3 of hydrogen at a pressure of 2.50x107Pa and a temperature of 290 K. The cylinder is to be used to fill balloons. Each balloon, when filled, contains 7.24x103cm3 of hydrogen at a pressure of 1.85x105Pa and a temperature of 290K...
  27. M

    Electron's trajectory in positively charged hollow cylinder

    How an electron moves when it is released from rest to a positively charged hollow cylinder? The hollow cylinder is finite and insulating. The electron is constrained to move only in z direction (into the center of the hollow cylinder). My thinking is that there is no electric field inside the...
  28. H

    Net flux through a cylinder from a point charge

    Homework Statement My book demonstrates how a uniform electric field through a box generates a net flux of zero. I was wondering if the same would happen from a point charge outside of the cylinder on one end instead of a uniform electric field. Homework Equations Flux = E⋅A The Attempt at a...
  29. S

    Electric field inside an infinitely long cylinder.

    1. Prove, without using Gauss's law, that the field inside an infinitely long, uniformly charged cylinder is zero.2. Electric field of a charged surface3. My lead is that from a given point, I draw a very narrow cone to any piece of area on the cylinder, with distance r away.. That creates a...
  30. P

    Calculating total bulk modulus of cylinder, piston and oil

    Hello, I have been thinking about following problem: I have some kind of piston and cylinder with oil. I know the pressure in oil. Let's say it is 500bar. I would want to know how much is displacement of piston. Let's say bulk modulus of oil is 3Gpa. Let's also say that bulk modulus of...
  31. O

    Psi question about a hydraulic cylinder

    Homework Statement A hydraulic log splitter with a maximum operating pressure of 3000 psi is powered by a 5 hp hydraulic engine. If the log splitter is capable of generating a maximum nominal force of 10 tons (20000 lb) what is the effective diameter of the hydraulic cylinder? What is the...
  32. P

    Path of the end of a string wrapping around cylinder

    Hey, Most related questions here specifically talk about torque, force, angular momentum/velocity etc. I just want to know how I can aptly describe the motion of the tip of some string as it wraps around a cylinder. So basically, the path of an object in circular motion with a decreasing radius...
  33. Matternot

    Volume of a quarter cylinder between 2 planes

    Homework Statement Find the volume V of the region that lies inside the quarter cylinder 0 ≤ r ≤ 1, 0 ≤ θ ⇐ 1/2 π and between the planes x+y+z=4 and z=0, where (r, θ, z) are cylindrical polar coordinates. Homework Equations integral dV = integral r drdθdz The Attempt at a Solution I...
  34. S

    Generating Electric Fields Inside Cylinders: Experimental Approaches

    Hi! I would like to create an electric field inside a cylinder. Is there any EXPERIMENTAL way to impose 120V DC (or any higher or lower) voltage on the surface of a cylinder and generate electric field inside it? I'm specifically looking for "experimental" approaches. Thank you very much :)
  35. R

    Torque on cylinder due to current in loop

    Homework Statement The figure shows a cylinder of mass 3.38 kg, radius 5.20 cm and length 8.12 cm with 70 turns of wire wrapped around it lengthwise, so that the plane of the wire loop is parallel to the incline and contains the axis of the cylinder. What is the least current which while...
  36. P

    How Many Lines Do I Need to Draw to Maximize the Internal Surface of a Cylinder?

    hello I have a cylinder which and how many lines will I have to draw in its base to delimit holes that will run through it, so that I will maximize its internal surface? thanks!
  37. P

    Creating a Flexible Cylinder with 0.01mm Holes: Material and Technology Guide

    hello I need to create a structure that is a let's say 10cm diameter cylinder and 20cm height. Inside the cylinder there will be numberous 0.01mm holes that will go through the length of the cylinder, so basically, there will be numerous tiny cylinders with 0.01mm hole that run across the 20cm...
  38. Satvik Pandey

    Impulse Problem -- A rolling cylinder collides with a cylinder at rest

    Homework Statement A solid cylinder of radius R is rolling without slipping on a rough horizontal surface. It collides with another identical cylinder which is initially at rest on the surface. The coefficient of restitution for the collision is 1.The coefficient of friction between the...
  39. A

    The smallest angle flashlight beam can make with horizontal

    Homework Statement At the aquarium where you work, a fish has gone missing in a 10.5m -deep, 9.45m -diameter cylindrical tank. You shine a flashlight in from the top edge of the tank, hoping to see if the missing fish is on the bottom. What’s the smallest angle your flashlight beam can make...
  40. PiNgWiZaRd

    Pneumatic Cylinder testing for leaks

    Hi, Excuse the ignorance of an electronic engineer here but is there a procedure/tool to measure for leaks in pneumatic cylinders? One that will give a percise reading, ie. 30% pressure loss in a cylinder. This is not an automobile qusetion and not a combustible engine leak down test just a...
  41. A

    Finding potential difference in a very long hollow cylinder

    A very long hollow cylinder has inner radius A and outer radius B. It has a known unit charge per unit volume p. Find the difference in the electric potential a point on the axis and a point a distance A+D assuming A+D<B The diagram is in the url. It is #3...
  42. U

    Finding volumetric flow rate from pressure?

    Hello everyone, I am quite new to Fluid dynamics, so I would like to ask for your help. Is it possible to calculate volumetric flow rate from the instantaneous pressure? We need to know the flow rate of the air entering the cylinder in the engine due to the suction pressure. It is required to...
  43. C

    MHB Find Tension in Horizontal Rope DE | Cylinder Mass & Angle θ

    Hi there, I have a question I'm unable to get properly started on: A cylinder of radius R and mass m is lodged between cross pieces that make an angle θ with each other, as shown in the diagram below. The cross pieces of negligible mass are connected in point C, with lengths AC = BC = 2R and...
  44. f95toli

    What happens when a pressurized gas cylinder falls over?

    This is health&safety related question that came out of a discussion I had with a friend. I sometimes keep a large (L sized) helium cylinder in my lab. It is pressurized to 200 Bar and equipped with a standard regulator. Now, the question is what would happen if it fell over and the...
  45. S

    Why is the flux through the top of a cylinder zero?

    This is example 27.2 in my textbook. I have the answer, but it doesn't make sense to me. I understand that if electric field is tangent to the surface at all points than flux is zero. Why, though, does my textbook assume that the ends of the cylinder don't have field lines extending upwards and...
  46. T

    Find angular acceleration using theoretical values

    Homework Statement I'm doing a coursework where I must find the angular acceleration of a rolling tin can using theoretical values. I have its mass and radius. I actually have experimental data so i have access to the actual values of angular velocity and angular acceleration, as well as time...
  47. Q

    Fluid problem -- Piston moving in an oil-filled cylinder

    Homework Statement A piston 10 is coaxially in diameter moves within a cylinder whose inner diameter is 10.006 in; The annular space between piston and cylinder is filled with oil having a kinematic viscosity is 0.004 feet ^ 2 / s and specific gravity of 0.85 If the piston makes its way with a...
  48. Valerie Prowse

    Find mass of cylinder (rotational motion question)

    Homework Statement A light string is wrapped around a solid cylinder and a 300 g mass hangs from the free end of the string, as shown. When released, the mass falls a distance 54 cm in 3.0 s. a. Draw free-body diagrams for the block and the cylinder. b. Calculate the tension in the string...
  49. P

    Charge density in cylinder with uniform charge

    1. A charge density ρ (charge per unit volume) is distributed uniformly throughout a non-conducting cylinder of radius R. What is the magnitude of the electric field a distance r = R/2 from the cylinder's axis? Homework Equations E ∫dA = q(interior)/ε0[/B]3. So I tried doing EA =...
  50. B

    How Do You Calculate Outward Flux Through the Base of a Cylinder?

    Homework Statement Calculate the outward flux of F = 3z\mathbf{e_{\rho}} + cos(\phi)\mathbf{e_{\phi}} + 2z\mathbf{e_{z}} through the base of a cylinder centered at the origin with radius \mathrm{R} and height \mathrm{2H}. Homework EquationsThe Attempt at a Solution I am unsure of how to tell...
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