Archimedean spiral


The Archimedean spiral is the locus of points corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line which rotates with constant angular velocity.The famous Archimedean spiral can be expressed as a simple polar equation. In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point and an angle from a fixed direction.
The fixed point (analogous to the origin of a Cartesian system) is called the pole, and the ray from the pole in the fixed direction is the polar axis. The distance from the pole is called the radial coordinate or radius, and the angle is the angular coordinate, polar angle, or azimuth.

Related formulas


rRadius ( radial coordinate) (dimensionless)
aParameter ( Changing this parameter will turn the spiral (dimensionless)
bParameter(controls the distance between successive turnings) (dimensionless)
ϕAngle (angular coordinate) (dimensionless)