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

    A Calculate the electostatic field outside a finite cylinder

    Hello, I am looking for an expression to calculate the electrostatic field outside a uniformly charged cylinder, radius R and finite length L. What interests me most is the radial field, E(r) in the plane z = L / 2. I found an expression of the potential V (r) in the case where L <<< R which...
  2. T

    Torque with a cylinder problem

    Homework Statement The cylinder of weight W is shown in the following diagram. The coefficient of static friction for all surfaces is ⅓. The applied force P = 2W. I am working on number 11. Find the distance d for which counterclockwise motion is initiated by P. Homework Equations T = F r...
  3. M

    Find the height of each right cylinder

    Homework Statement I have to construct 8 concrete right cylinders for hurricane protection on windows, but I need to know the height to fit the given criteria. Each has a 4 inch radius and each weighs 1200 pounds. Concrete weighs 150 pounds per cubic foot. V= volume of right cylinder r=radius...
  4. V

    Flow Rate of Liquid O2 Cylinder w/ 24 Bar Pressure

    Hi. Just looking for an average answer to a practical scenario. At work we use a liquid O2 cylinder which includes an outer jacket that houses a regulated gas pressure of 24 bar. I need to calculate the flow rate in l/min when the supply tap (15mm diameter) is open fully? This is essentially...
  5. G

    Magnetic field in the case of a thin magnetized cylinder

    Homework Statement Consider a cylinder of thickness a=1 mm and radius R = 1 cm that is uniformly magnetized across z axis being its magnetization M= 10^5 A./m. Calculate the bound currents on the cylinder and, doing convenient approximations, the B field on the axis of the cylinder for z=0...
  6. J

    Air resistance: cylindrical rotor in stator with air gap

    Hello, I am currently doing research on the aerodynamic properties of a rotating cylinder in a cylindrical housing. The cylinder represents a rotor in a electric motor. The air gap between rotor and stator is about 0.5mm. I'm looking for a theoretical analysis and calculation on the...
  7. J

    Speed of escaping gas from a cylinder

    Homework Statement Homework EquationsThe Attempt at a Solution I don't understand which concept to apply in this question . The hint says to apply Bernoulli's equation and uses ∆P (excess pressure ) = (1/2) ρ v2 . This does give right answer . But I think this is wrong . We cannot apply...
  8. S

    Vector potential of an infinitely long cylinder

    I have seen the other threads on an infinitely long wires vector potential.Its obvious that really small wires are just infinitely long cylinders: ∇xA=B ∫∇xA.da=∫B.da ∫A.dl = ∫B.da = φ(flux) For an infinite cylinder A.2πri=B.2πrih A=Bh A=μ0*I*h/(2π*r) Now for a cylinder of radius limr->0 =>...
  9. H

    Is this Cylinder Strong Enough to Open This Door?

    I have this door that was designed to supposedly open for 180 degrees in 1 second. A Pneumatic Plunger was used to push the door. However I'm not sure if this was strong enough to open the door. Can this be counted as Partially Inelastic Collision? DOOR: m = 136pound width = 40 inch height =...
  10. Alettix

    Magnetic field decay in cylinder coaxial with solenoid

    Homework Statement For a medium of conductivity ##\sigma##: $$ \nabla^2 \vec{B} = \sigma \mu \mu_0 \frac{\partial \vec{B}}{\partial t} + \mu \mu_0 \epsilon \epsilon_0 \frac{\partial^2 \vec{B}}{\partial^2 t} $$ A long solenoid with ##r=b## has n turns per unit length of superconducting wire anc...
  11. A

    Finding the relationship between magnetic momentum and angular momentum

    Homework Statement A cylinder with radius ##R## and height ##h## which has a distributed charge on its surface with density ##\sigma## spins over its axis with angular velocity ##\omega##. If the cylinder has a mass density ##\rho##, find the relationship between magnetic momentum and angular...
  12. Suyash Singh

    Falling solid cylinder with string

    Homework Statement Homework Equations m:mass of solid cylinder T: tension in string w:angular velocity The Attempt at a Solution m(g-a)=T mg-ma=T a=v^2/r=w^2r now what?
  13. P

    Find B and H everywhere for a magnetized infinite cylinder

    Homework Statement An infinitely long cylinder of radius a has its axis along the z-direction. It has Magnetization ##M=M_0(s/a)^2\hat{\phi}## in cylindrical coordinates where ##M_0## is a constant and s is the perpendicular distance from the axis. Find the values of ##\vec{B}## and ##\vec{H}##...
  14. F

    Electric Field from Charged Cylinder | Radial Distance

    Homework Statement Homework Equations The Attempt at a Solution Can someone tell me where is my mistake ?
  15. NimzCr7

    Rising of a liquid during rotataion in a cylinder

    Homework Statement [/B] A 25-cm-diameter, 100-cm-high cylindrical container, (as shown), is partially filled with 75-cm-high liquid (density = 900 kg/m3). Determine the rotational speed at which the liquid will start spilling. Calculate the gauge pressure at the centre of the bottom of the tank...
  16. T

    Hollow cylinder magnet making contact with the circuit

    Homework Statement 1. Circuit moves downward while cylinder magnet is fixed. 2. Cylinder magnet moves upward while circuit is fixed. Gain emf in circuit. Homework Equations All those maxwell equations... F=v x B The Attempt at a Solution [/B] So first question is not that hard...
  17. V

    Maximum torque on a rotating cylinder kept on a moving plank

    Homework Statement A cylinder of mass M and radius R is resting on a horizontal platform (which is parallel to the x-y plane) with its axis along the y- axis and free to rotate about its axis. The platform is given a motion in the x-direction given by x= Acos(ωt). There is no slipping between...
  18. H

    Calculating Arc Length and Area of Cylinder Side

    Homework Statement Let r be a positive constant. [/B] Consider the cylinder x2 + y2 ≤ r2, and let C be the part of the cylinder that satisfies 0 ≤ z ≤ y. (3) Let a be the length of the arc along the base circle of C from the point (r, 0, 0) to the point (r cos θ, r sin θ, 0) (0 ≤ θ ≤ π). Let...
  19. G

    Potential of an undefinided cylinder

    Homework Statement Determine the potential that creates an undefined cylinder of radius $R$ and density density $\rho$ that is uniformly charged. Homework Equations Gauss's law. The Attempt at a Solution I know that for this problem I can use gauss because it is a cylinder, now I do not get...
  20. N

    Electric field inside a uniformly polarised cylinder

    This is problem 4.13 from Griffiths (edition 3). The question asks: A very long cylinder, of radius a, carries a uniform polarization P perpendicular to its axis. Find the electric field inside the cylinder. [Careful: I said "uniform," not "radial"!] I decided to try and find the bound charges...
  21. P

    Electric field inside a uniformly polarized cylinder

    Homework Statement This is problem 4.13 from Griffiths. A long cylinder of radius a carries a uniform polarization P perpendicular to its axis. Find the electric field inside the cylinder. Homework Equations ##\int \vec{E}\cdot dA = q_{encl}/\varepsilon_0## The Attempt at a Solution [/B] We...
  22. F

    Is There Flux Through the Lateral Surface of a Cylinder?

    Homework Statement Homework Equations The Attempt at a Solution Here's my work :
  23. T

    Electrostatic force between a Half Cylinder and a Plate

    Homework Statement (This is not a HW problem, but HW-type problem.) A half cylinder of radius R and length L>>R is formed by cutting a cylindrical pipe made of an insulating material along a plane containing its axis. The rectangular base of the half cylinder is closed by a dielectric plate of...
  24. B

    Stationary vertical cylinder with heavy piston

    Hi, I'm just starting to learn thermodynamics and I'm completely stuck with a problem: 1. Homework Statement A stationary vertical cylinder, closed at the top, contains a gas whose volume may be changed with the aid of a heavy, frictionless piston of weight w. a) How much work is done by...
  25. dRic2

    Pressure gradient in wakes around a cylinder

    Hi, Let's consider a cylinder of infinite length and fluid flowing "over" (I'm not sure of which words I should use, sorry) it like in the figure: Let's consider x>>D in order to neglect what's happening near the rear surface of the cylinder. Let's get rid of static pressure which doesn't...
  26. M

    Heat transfer from a closed cylinder filled with fluid

    I have a long steel uninsulated cylinder filled with hydraulic fluid (let's say it's mineral oil), and I need to figure out how many barrel heaters to clamp onto it in the winter months to prevent the steel surface temperature from dropping under 40 degrees Fahrenheit. My question is, how do I...
  27. F

    Potential of hollow open ended cylinder

    Homework Statement A hollow circular cylinder, of radius a and length b, with open ends, has a total charge Q uniformly distributed over its surface. What is the difference in potential between a point on the axis at one end and the midpoint of the axis? Show by sketching some field lines how...
  28. F

    How Do You Calculate the Electric Potential of a Charged Cylinder?

    Homework Statement For the cylinder of uniform charge density in Fig. 2.26: (a) show that the expression there given for the field inside the cylinder follows from Gauss’s law; (b) find the potential φ as a function of r, both inside and outside the cylinder, taking φ = 0 at r = 0. 2...
  29. Jeirn

    How to Calculate Gas Cylinder Drain Time from Pressure to Atmospheric?

    Do you know where I can find a formula to calculate how long it would take to drain a cylinder under pressure to atmospheric pressure? if I know the volume of the cylinder and the size of the opening.
  30. F

    Electric Field from Long Hollow Cylinder

    Homework Statement Consider the hollow cylinder from Exercise 1.59. Use Gauss’s law to show that the field inside the pipe is zero. Also show that the field outside is the same as if the charge were all on the axis. Is either statement true for a pipe of square cross section on which the...
  31. J

    Current flowing in a cylinder and induced EMF

    Homework Statement Homework EquationsThe Attempt at a Solution The current will decrease , as a result an EMF will be induced in the cylinder . The EMF induced E = -dΦ/dt I am assuming magnetic field through the cylinder to be same as that at the center of the a current carrying coil...
  32. C

    MHB Partial Volume of a Cylinder Calculation

    It's been a long time since I've attended school, over 33 years ago. So my question may seem basic to many here. I wish to calculate the partial volume of a cylinder for my excel spreadsheet project. The formula I've found is attached. (unable to type it) But I do not fully understand this...
  33. Wale

    Motor driven hydraulic cylinder design

    I am trying to design a mechanism which has a hydraulic cylinder driven by a step motor. The motor shaft is connected to the hydraulic cylinder piston via two rods of lengths r and L as shown in the below figure. I want the cylinder's piston to be driven at constant velocity v, so I am trying to...
  34. Richie Smash

    Find the weight of a partially submerged cylinder

    Homework Statement Hello, there is a cylinder with cross sectional area 10cm2. The cylinder has a length of 50cm partially submerged in water and floats upright. Taking acceleration due to gravity as 10 m s-2 and the density of water to be 1000 kg m-3 Find the weight of the cylinder using...
  35. V

    Help me calculate Force to choose an air cylinder

    Hello, this isn't actually homework but I have no physics/engineering background and can't solve this question for a DIY project: 1. Homework Statement I have a 2' tall, 16' wide door that is hinged/hung from the top (like an awning window scenario) so all of its weight is supported. The...
  36. opus

    Surface area of a cylinder- finding unknown variable

    Homework Statement The surface area, A, of a cylinder with height, h, and radius, r, is given by the equation ##A=2πrh+2πr^2##. A company makes soup cans by using 32π square inches of aluminum sheet for each can. If the height of the can is 6 inches, find the radius of the can. Homework...
  37. D

    Calculating the resonant frequency of a gas cylinder

    I would like to make a bell out of a used compressed gas cylinder, but I would like to tune it to a specific note or frequency, e.g. A (440Hz). Can someone help with a formula to calculate this so I can cut it precisely?
  38. G

    Inertia of a hollow cylinder and hollow sphere

    Homework Statement Consider a hollow cylinder of mass M with an outer radius R_out = 10 cm and an unknown inner radius R_in. If the hollow cylinder is to roll down an incline in the same time as a spherical shell of the same mass and the same outer radius, calculate R_in. Homework Equations...
  39. B

    Transient heat transfer in a cylinder with internal heating

    hi, I met a problem about heat transfer in cylinder, if you can help, I will appreciate it. The question is simple. I want to know the transient heat distribution in a cylinder with internal heating(constant temperature not constant flux). The boundary conditions comprises two constant...
  40. S

    Balancing a plank on a cylinder

    Homework Statement The figure shows a uniform thin rigid plank of length 2b which can roll without slipping on top of a rough circular log of radius a. The plank is initially in equilibrium, resting symmetrically on top of the log, when it is slightly disturbed. Find the period of small...
  41. M

    A Calculating Vibration Modes of a Cylinder (Drum Shell)?

    I am working on some acoustic synthesis models of real world instruments. The Bessel Function zeros give the vibration modes of a circular membrane, which can be used to model a drum head or even roughly a cymbal. However, much of a drum's sound (especially snare) comes from the "ring" of the...
  42. Jason Louison

    Automotive Air Mass into Cylinder (Intake Charge)

    Hello Physics Forum Community! It sure has been a while! :) I have been hard at work on my goal; to create a spreadsheet that simulates the Internal Combustion Engine (Spark Ignition). I can't take all the credit for having come this far, so there will be links to a few sources below that I have...
  43. D

    Velocity Potential of a Moving Cylinder

    Hi, i need help in deriving the velocity potential of a moving 2D cylinder (circle) in potential fluid. The cylinder is moving in negative x direction U(t). I can derive the velocity potential of fluid past a cylinder (cylinder is stationary, in which it is the scalar summation of uniform...
  44. P

    Dielectric problem -- two line charges inside a dielectric cylinder

    Homework Statement Consider a cylindrical hole of radius a and infinite length cut into a dielectric medium with relative electric permittivity ε (the interior can be treated as a vacuum). Inside the hole there are two line charges of infinite length with line charge densities λ and −λ...
  45. C

    Velocity of a cylinder on a horizontal plane

    Hi, I appreciate any help. Thanks in advance! Homework Statement The image shows the top view of the set-up. Basically, it is a cylinder (resting on a horizontal plane) with two rods on either side attached in line with the centre of mass of the cylinder. Two pieces of string are then taped...
  46. T

    Mechanical Principals -- Strain guages mounted on a cylinder

    Can anyone ratify if my answer is correct for the below. I've attached.
  47. Pushoam

    Ratio of K. E. of solid cylinder to shell

    Homework Statement Homework EquationsThe Attempt at a Solution total kinetic energy of a rigid body = rotational kinetic energy of the body around its center of mass + translational kinetic energy of center of mass For solid cylinder, total kinetic energy = ## \frac { [I = \frac 1 2...
  48. A

    Pressure and temprature measurement in a tiny cylinder

    Hey everybody! as part of a project i need to solve this problem: i have a small closed (50 mm height, 5 mm radius) tank made of PMMA fiiled mostly by salted water and a bit air. the water get a 200 (C) pulse for a very short time of 20 micro-seconds and start to transform into gas (there is a...
  49. A

    Piston with crankshaft: what is the temperature of gas entering the cylinder?

    Homework Statement Homework EquationsThe Attempt at a Solution e) I know the temperature is lower in the transparent container but how do you represent this
  50. EastWindBreaks

    Pressure of a piston cylinder device after heated

    Homework Statement I am confused on when will pressure of two states be the same for a piston cylinder device. Below are two problems where one's final pressure equals the initial pressure and one is not. Homework EquationsThe Attempt at a Solution Initially, I thought a piston-cylinder...
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