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Math Formulas > Linear Algebra > Cylindrical Coordinate

Cylindrical Coordinate

A vector in the cylindrical coordinate can be written as:

A = ayAy + aøAø + azAz, Ø is the angle started from x axis.

The differential length in the cylindrical coordinate is given by:

dl = ardr + aør + azdz

The differential area of each side in the cylindrical coordinate is given by:

dsy = r ∙ dø ∙ dz
dsø = dr ∙ dz
dsz = r ∙ dr ∙ dø


The differential volume in the cylindrical coordinate is given by:
dv = r ∙ dr ∙ dø ∙ dz

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