# Cylindrical Coordinates

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Related to Cylindrical coordinate system: Polar coordinates, Spherical coordinate system

## cylindrical coordinates

[sə′lin·drə·kəl ‚kō′ȯrd·ən·əts]
(mathematics)
A system of curvilinear coordinates in which the position of a point in space is determined by its perpendicular distance from a given line, its distance from a selected reference plane perpendicular to this line, and its angular distance from a selected reference line when projected onto this plane.

## Cylindrical Coordinates

The cylindrical coordinates of a point M are the three numbers r, θ, and z characterizing the position of M in space (see Figure 1). The coordinates are called cylindrical because the coordinate surface r = const is a cylinder

Figure 1

whose elements are parallel to the z-axis. The relation between the cylindrical coordinates and the rectangular coordinates x, y, and z of M is given by the equations x = r cos θ, y = r sin θ, and z = z.

References in periodicals archive ?
where (x, y, z) and (r, [alpha], z) are coordinates of same point at Cartesian and cylindrical coordinate system.
In the case under consideration the equilibrium equations in the cylindrical coordinate system are
Considering the inflation of cylinder arterial wall, in cylindrical coordinate system the initial geometry of the tube is given by:
In the case of tensile circular crack of radius a loaded by uniform pressure a on its faces, the crack opening displacement (COD), expressed from the complex solution issued from fracture mechanics in the local cylindrical coordinate system ([rho], [phi], [x.
1: Cylindrical coordinate system rotates around the z axis with an angular velocity [omega].
max] = 21 were set, and the cylindrical coordinate system is converted to an orthogonal coordinate system with regular intervals by coordinate transformation.
Under what assumptions spatial harmonic analysis of the magnetic field of the TL can be made in a cylindrical coordinate system (r, [phi], Y) which Y-axis passes through the center of a circle of minimum radius [r.
OMEGA]] is magnetic flux density in a random field point p([rho], [phi], z) of air-gap, and its modulus along [rho] orientate in the cylindrical coordinate system is [B.
The z components of the incident fields in zero-th cylindrical coordinate system ([p.
0]sin[theta]') is the position of the antenna element, where y' represents the scanning position of the arc antenna array, [theta]' represents the angle in the cylindrical coordinate system as shown in Figure 1 .
The z components of the incident field are expressed in the cylindrical coordinate system ([rho],[phi]) as follows:

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