Concentric Cylinders
Concentric Cylinders - Related Videos
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Paw-Dragging: a Novel, Sensitive Analysis of the Mouse Cylinder Test
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Cited by 53 •
2015
Classical forelimb asymmetry analysis of the cylinder test is routinely used to assess behavioural deficits in rats following brain injury or stroke; however, it fails to detect consistent deficits in mice. This study demonstrates that quantifying paw-dragging behaviour is a more sensitive analysis of brain injury in mice.
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Concentration Dependence - Student Protocol
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2020
Source: Smaa Koraym at Johns Hopkins University, MD, USA Concentration DependenceExpand In this experiment, you will combine varying concentrations of aqueous HCl and sodium thiosulfate to make solid sulfur, which rapidly gathers into opaque yellow particles at a certain sulfur concentration. Since the reaction solution starts clear and colorless, you can easily tell when it reaches that concentration. You'll use the same test tube and total volume each time, so it will take the same amount...
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Concentration Dependence - Instructor Prep
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2020
Source: Smaa Koraym at Johns Hopkins University, MD, USA Preparation of SolutionsExpand Here, we show the preparation of solutions for 10 students working in pairs, with some excess. Please adjust quantities as needed. Put on a lab coat, splash-proof safety glasses, and nitrile gloves. Obtain a waste container for aqueous sodium thiosulfate in advance. Note: HCl is toxic and highly corrosive, and sodium thiosulfate is an irritant, so the solutions for this lab must be prepared in a...
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Cylinders in Three-Dimensional Space
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2026
A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
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Acid and Base Concentrations - Student Protocol
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2020
Source: Smaa Koraym at Johns Hopkins University, MD, USA Preparation of ~0.1 M NaOHExpand In the first part of the lab, you will use a 50% w/w solution of NaOH to prepare 500 mL of ~0.1 M. The 50% w/w NaOH is indicative of its weight ratio. For example, if the instructor prepared 150 mL of the 50% w/w NaOH solution, then 150 g of NaOH was dissolved in 150 g of water, and the total weight of the solution is 300 g. To begin, put on the appropriate personal protective equipment,...
FAQs
The shared axis makes every point on a given cylindrical surface equivalent under rotation about that axis. Consequently, a field or pressure quantity can often be treated as depending mainly on radius rather than angular position. This reduces a three-dimensional distribution to a radial variation and lets conservation laws be evaluated on cylindrical surfaces selected to match the geometry.
Radial distance is the key positional variable because moving outward means crossing successive cylindrical layers around the common axis. Comparing a quantity at different radii reveals how it changes between the cylinders, while the inner and outer surfaces establish the relevant boundaries. This description helps identify field distributions, pressure changes, or stress variations across the region.
Conservation laws and boundary conditions serve different but complementary roles. A conservation law relates what passes through or is enclosed by a cylindrical surface, whereas a boundary condition specifies behavior at an interface or cylinder surface. Using both allows the radial dependence to be determined consistently and connects conditions inside the gap with those imposed by surrounding cylinders.
First identify the common axis and the radial region of interest. Next, choose cylindrical surfaces that follow the symmetry, describe the relevant quantity as a function of radius, and apply the appropriate conservation law or boundary conditions across the cylinder interfaces. The resulting radial profile can then be interpreted for fields, pressure, stress, or related physical quantities.
These devices use nested cylindrical conductors or layers, so the geometry provides a direct model for how electrical quantities vary with radius. Analysis can connect the radial field distribution to energy storage in a capacitor or to behavior within a coaxial cable. The same framework also helps examine how interfaces and cylindrical boundaries influence device behavior.
In pipes, radial dependence can describe how fluid pressure changes between cylindrical boundaries. In rotating systems, the arrangement provides a way to examine quantities associated with cylindrical motion, while stress analysis uses the same layered geometry to track mechanical behavior across radii. For layered materials, each cylindrical interface supplies a boundary where conditions can change and must be matched.