Asked by: Formerio Marcianesscience space and astronomy
Why do we use cylindrical coordinates?
Last Updated: 15th January, 2020
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Beside this, why do we use spherical coordinates?
Spherical coordinates determine the position of a point in three-dimensional space based on the distance ρ from the origin and two angles θ and ϕ. If one is familiar with polar coordinates, then the angle θ isn't too difficult to understand as it is essentially the same as the angle θ from polar coordinates.
One may also ask, what is the difference between cylindrical and spherical coordinates? Spherical Coordinates. In the Cartesian coordinate system, the location of a point in space is described using an ordered triple in which each coordinate represents a distance. In the cylindrical coordinate system, location of a point in space is described using two distances (r and z) and an angle measure (θ).
People also ask, what is dS in cylindrical coordinates?
To get dS, the infinitesimal element of surface area, we use cylindrical coordinates to parametrize the cylinder: (6) x = a cos θ, y = a sin θ z = z . Its area dS is the product of its height and width: (7) dS = dz · adθ .
How do you find cylindrical coordinates?
Figure 1: A point expressed in cylindrical coordinates. To convert from cylindrical to rectangular coordinates we use the relations x = r cosθ y = r sinθ z = z. To convert from rectangular to cylindrical coordinates we use the relations r = √ x2 + y2 tanθ = y x z = z.