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. Z

    Question regarding the Pressure of a gas flowing from a cylinder into balloons

    P1V1=P2V2 (2.5x10^7x4x10^4)/1.85x10^5 , V2 = 5.41x10^6 cm^3 5.41x10^6=4x10^4+7.24x10^3 N N= 741
  2. cwill53

    Electric Field at the end of a Half-Infinite Cylinder

    The approach used in the book uses polar coordinates. I was wondering if my approach would still be correct. I set up the problem such that the midpoint of one face of the cylinder is at the origin while the midpoint of the other end's face is at the point (##l##,0). The surface area of the...
  3. E

    Stability of a floating cylinder

    Now that is an evil question! The more interesting case looks like when the cylinder is upright, so that is what I focused on. I defined two coordinates; ##\theta##, the angular displacement of the cylinder from the vertical and ##d##, the distance between the point on the cylindrical axis which...
  4. Hiero

    Adiabatic expansion of a piston in a cylinder filled with ideal gas

    I was puzzling over how to solve this and finally peeked at the solution. They used the relevant equation above. I disagree with this though. The problem specifically says “the piston is allowed to slide freely!” This means that we don’t let it happen slowly. So then we are not in...
  5. V

    Misc. Pneumatic cylinder selection - Help calculating the force needed

    This is my first post in this great community. English is not my native language, so i am sorry for any mistakes. I need to build a pill crusher using a pneumatic cylinder with 30mm stroke (effective travel). i have e metal container with 25mm base diameter where i have to make powder from 6-8...
  6. StevenRice

    How do I spin a small cylinder longways?

    Imagine laying a pencil down, and spinning it on its own graphite. What do you call that, "spinning" or "rotating"?
  7. M

    Electric Field of Point Charge at y=r and an Infinitely Long Cylinder

    Let point charge q be at y=r. Let there be an infinite conducting plane along the x-axis and z-axis that is neutrally charged. In this case, the method of mirror charges can be used. The plane is replaced by a point charge -q at y=-r. The electric field for y > 0 is the same in both cases...
  8. Nexus99

    Cylinder inside a cylindrical track

    1) Conservation of energy ## mg(R-r)(1-cos \theta_0) = \frac{1}{2}mv^2 + \frac{1}{2} I \omega^2 ## because of pure rolling ## \omega = \frac{v}{r} ## So i got: ## v = \sqrt{\frac{4}{3} g (R-r) (1-cos(\theta_0))} ## this is how i got normal force: 2) ## N - mg = m \frac{v^2}{R-r} ## where v is...
  9. J

    Air Cylinder connected to a Lever that drives a Pulley for Applying Belt Tension

    Hi, I am looking for some guidance on how to approach this calculation. I have an air cylinder operating a lever assembly that then applies pressure to a pulley of which a belt is wrapped around. I need the belt to have about 4500 lbs of tension. How do I work backwards to figure the required...
  10. N

    How many molecules will hit the cylinder: Was my solution correct?

    This is what I did, the cross-sectional area of the cylinder is ##\pi 10^2 = 100\pi## cm. Further, as the cylinder is moving a distance of 50cm. Thus, the total volume of vacuum, object covers throughout its journey is ##100\pi \times 50 =5000\pi## cm. Assuming that the molecules are uniformly...
  11. LCSphysicist

    Pulling a Cylinder: Understanding x, y & theta Relations

    Basically, the problem is pretty easy if the constraints are understood, and this is my problem. I am trying to figure out some relation between x, y, and theta. I don't know if seeing by this way is the better attempt.
  12. lelouch_v1

    Does moving an insulating cylinder produce a magnetic field?

    Suppose that we have an insulating cylinder with ##\rho_q##. If i move the cylinder towards ##+\hat{n}##, will it produce a magnetic field? My assumption is that since we have an insulator, then the electrons are bound and there cannot be a current, thus a magnetic field is not produced. Also...
  13. S

    Pressure/force calculation for combustion in a cylinder

    Hi. How do i calculate the dynamic combustion pressure, force and piston velocity for different fuels in a cylinder? Assuming perfect combustion and no thermal loss trough the walls and piston. I am thinking about an application similar to for example a fuel driven nail gun that runs on a...
  14. M

    I Area of a cylinder enclosing an ellipsoid

    I.m not absolutely sure if this comes under physics or maths, so apologies if I've put it in the wrong place. It is well known that if a sphere is exactly enclosed by a cylinder, the area of the curved surface of the cylinder is equal to hat of the sphere. Does this also apply if the cylinder...
  15. sagigever

    Properties of symmetric magnetic field around ##Z## axis (cylinder)

    I am trying to understand but without a succes why symmetric magnetic field around ##Z## axis make that ##\hat \phi## magnetic field is zero I can't understand why it physically happens and also how can I derive it mathematically? What does the word symmetric means when talking about magnetic...
  16. sagigever

    Magnetic field in a rotating uniformly-charged infinite cylinder

    I am sure I need to use Amper's law to do that. if I use the equation I mentioned above it easy to calculate the right side of the equation but I have problem how to calculate the path integral. I know from right hand rule that the magnetic field will point at $$Z$$ and the current is in...
  17. LCSphysicist

    Cylinder rolling without slipping on a truck

    I don't know how to start it Is the truck who make the cylinder roll, initially? If yes, how? Since the truck force would pass by the center of the cylinder.
  18. A

    Gas - cylinder - piston problem

    Summary:: Seeking explanation to classical gas - cylinder - piston problem, not the solution. Problem 1.15 from 7th edition of Introduction to Chemical Engineering Thermodynamics by Smith, Van nes and Abbot) Classical problem, given: - gas in a confined cylinder - piston with weight is placed...
  19. CrosisBH

    Maximizing the volume of a cylinder

    Note this is in our Lagrangian Mechanics section of Classical Mechanics, so I assume he wants us to use Calculus of Variations to solve it. The surface area is fixed, so that'll be the constraint. Maximizing volume, we need a functional to represent Volume. This was tricky, but my best guess for...
  20. archaic

    Releasing a hollow cylinder on a rotating disk

    There is no net external torque since the cylinder is slipping (no friction), so the angular momentum should be conserved. $$L_f=\frac 12MR^2\omega_i=\frac 12\times3.8\times0.52^2\times50\times\frac{2\pi\times0.52}{60}$$
  21. Leo Liu

    Cylinder Rolling Down an Incline Without Slipping

    First we let the static friction coefficient of a solid cylinder (rigid) be ##\mu_s## (large) and the cylinder roll down the incline (rigid) without slipping as shown below, where f is the friction force: In this case, ##mg\sin(\theta)## is less than ##F_{max}##, where ##F_{CM,max}## is the...
  22. IamVector

    Cylinder rolling with a block inside it

  23. Make it glow art

    Object magnified inside a cylinder of water

    Would you able to tell me what’s the ideal angle Of a curved glass in order to Magnify an object inside an aquarium to the maximum. Also what would be the ideal distance of the object inside the aquarium. Sorry if I didn’t explain myself properly. I‘m hopeful somebody would be able to explain it...
  24. E

    Forces on spheres in a cylinder

    I literally don't know where to start with this, i drew a free body diagram to try and understand where the cylinder was affecting them, but it didn't get me anywhere
  25. S

    Calculate the Pressure that Shrink film exerts on a cylinder

    First off I am not sure if the equation is even suitable for solving this problem. Secondly, I have no idea how to determine the tension the shrink film can provide. Furthermore, I also think the radius of the film tube has a influence on the pressure, I guess in this problem the tube is...
  26. JD_PM

    What are the coordinates of the upper cylinder? (and some algebra)

    I was solving a problem and got stuck in two aspects: 1) Geometric issue. Alright, I understand that the coordinates of the lower cylinder are $$( -R \theta_1, R)$$ The coordinates of the upper cylinder are: $$( x_1 + 2R \sin \theta, 3R - 2(R-\cos \theta))$$ I get that the ##x##...
  27. J

    Heat transfer through a MultiLayer Cylinder (find the Temperature inside)

    Hello, I am a Mechanical Engineer a little out of practice on Heat transfer. I am trying to solve this problem. It must be solvable but i have yet to find right equations online. I have a multi Layer Cylinder made up of C350 marraging Steel,Zinc Alloy-12 , then 6061 Aluminum T6. All that is...
  28. currently

    Partial Derivative of a formula based on the height of a cylinder

    The function should use (r,z,t) variables The domain is (0,H) Since U is not dependent on angle, then theta can be ignored in the expression for Laplacian in cylindrical coordinates(?)
  29. astrocytosis

    Magnetic field of a rotating cylinder with permanent polarization

    I am struggling to get my work to match the posted solutions to this problem. I understand part (a) but can’t get the integral to work out for (b). I know I have to use Biot-Savart and add up the components from the the surface and volume currents. The cylinder is very long, so I need to make a...
  30. HRubss

    Calculating Flux over the closed surface of a cylinder

    I wanted to check my answer because I'm getting two different answers with the use of the the Divergence theorem. For the left part of the equation, I converted it so that I can evaluate the integral in polar coordinates. \oint \oint (\overrightarrow{V}\cdot\hat{n}) dS = \oint \oint...
  31. N

    Find the potential V(r, φ) inside and outside the cylinder

    Not even sure where to start.
  32. Sabra_a

    Mass fraction and volume of a gas in a cylinder

    I have attached the full answer in PDF file. I'm not sure about the answers. will really appreciate if they get checked
  33. R

    Proving Vorticity of Flow in Rotating Cylinder

    Can someone check if my answer is correct please? Question: If liquid contained within a finite closed circular cylinder rotates about the axis k of the cylinder prove that the equation of continuity and boundary conditions are satisfied by u = ΩxR where Ω = Ωk is the constant angular velocity...
  34. S

    How fast will two spinning weighted wheels propel a 7 lb cylinder?

    Hello, I am hoping someone on the forum can help me. I am designing a machine to move a cylindrical weight between to high speed rollers. The system is comprised of two weighted drive wheels being spun by motors positioned one above the other as shown in the sketch. The weighted drive wheels...
  35. M

    Calculating Shear Force between a Moving Film and a Cylinder

    If I have a catheter covered in a thin sheathe (think a cylinder, covered by a thin plastic film), how should I go about calculating the shear force it takes to unsheathe the catheter from the sheath (no torque here, just the catheter moving in and out)? I've thought about strain gauges (but...
  36. jisbon

    Rotating cylinder rolling without slipping in a B field

    Firstly, I need to determine what the electric field is causing. Using left hand rule, the force due to the field is acting down the slope. Hence my FBD looks like: Where the two arrows pointing towards the right represent the force due to the field and weight of the cylinder. Since ...
  37. G

    Pneumatic cylinder and working speed

    we have a pick & place application so please give the solution for that data cylinder stoke length 200mm, travel distance 200mm ,what is the picking time?
  38. snatchingthepi

    Need help with Poisson's equation for a charged cylinder

    So I'm trying to solve for the field and potential inside and outside of an infinite cylinder with uniform charge to length density. Using Gauss' law I am able to do this very easily and get the answers. ## V = \left(\frac {-\lambda} {2\pi\epsilon} \right) \ln\left(\frac b a \right)## for...
  39. jisbon

    Calculate the velocity of a cylinder as it leaves the top of a slope (using Energy)

    I seem to be able to do this problem (at least from what I think, but my answer is still wrong according to the answer key, please do help check.) Since: Gain in GPE = Loss in translational KE + loss in rotational KE ##\left(m\cdot g\cdot...
  40. D

    I Cylinder supported by two rollers

    I'm trying to calculate the static reaction force on cylinder supported by two rollers due to the weight of the cylinder. I found that the reaction force is inversely proportional to the Cosine of the contact angle, but what does it mean? when the contact angle is close to 90 degrees is the...
  41. C

    Cylinder balancing in a single plane and in two planes

    Homework Statement: Hollow cylinder balancing Homework Equations: F=m·r·(ang_v)^2 T=F·l Hi, I want to know how the hollowness of a cylinder would affect its balancing process. A little introduction: There are 2 different types of balancing: in a single plane (static balance) and in 2 planes...
  42. S

    Torque required to spin a hollow cylinder

    Hello all and thanks for viewing this, I am in need of some assistance to solve a problem to size an AC motor rotating this load (power transmission will be trough belt & pulley). I have a hollow cylinder (pipe) that needs to spin 25 RPM: - OD = 50 mm - ID = 48 mm - M = 200 kg - Total length...
  43. K

    Electric field using Gauss's Law, but in open cylinder given only r?

    I have no idea how to approach the problem using Gauss's Law. I found the electric field using superposition, and it was incorrect. I am assuming you treat the wire as a continuous electric field, and then also treat the pipe as a continuous electric field. I solved for this using...
  44. ValeForce46

    Cylinder with a horizontal tube (Fluid dynamics problem)

    I'll call ##v_2## the flow speed on the horizontal tube and ##v_1## the lowering speed of the column. Even if the lowering speed isn't negligible, the problem says "...when the plug has been removed", so can I consider the height unchanged? In order to find the force, I need the pressure when...
  45. L

    Need help with a force calculation (deformation of a cylinder)

    Trying to calculate the force required to deform a cross section of a solid cylinder. To create an image, imagine a cylinder laying on a flat surface, and then a section of it defined as a length of X, being subjected to a compressive load. I'm trying to find the correct formula for this. Any...
  46. ValeForce46

    A cylinder full of water with two holes at different heights

    This is what I did: I know that ##v_1=\sqrt{2gh_1}## and ##v_2=\sqrt{2gh_2}## thanks to Bernoulli's principle. Using equations of parabolic motion I get ##h-h_1-\frac{1}{2}g(\frac{d}{v_1})^2=0## and ##h-h_1-\frac{1}{2}g(\frac{d}{v_2})^2=0##. This means I have two equations in two unknowns...
  47. Physics lover

    Amount of magnetic energy stored in a cylinder

    I first calculated Magnetic field at a distance x using Ampere's law.Then i took an element and wrote its inductance using L=Flux/Current. Then i integrated from a to b. But i arrived at nothing. Help.
  48. nmsurobert

    Master and Slave Cylinder at different heights

    I think I've made sense of this. m: master, s:slave Fm/Am = Fs/As Fs = As(Fm/Am) Fs = (As)ρghm So with that said, if the height of the master cylinder increases then the F produced by the slave will also increase. Anyone see any problems here? My concern is that P = ρgh isn't applicable...
  49. Matt Raj

    Question about friction in a problem with a stick and cylinder

    The friction from the rod and the friction from the plane on the cylinder should be the same due to torque equilibrium on the cylinder. If we let N_1 be the normal force on the rod and N_2 be the normal force on the cylinder from the plane, I expected µN_1 = µN_2. Looking at torque on the rod...
  50. 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...
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