Archimedean spiral was named after Archimedes, a Greek mathematician in the third century BC. Archimedean spiral is the trajectory of a point leaving a fixed point at a uniform speed and rotating around the fixed point at a fixed angular speed.

The so-called archimedean spiral refers to the trajectory generated when the moving point leaves the fixed point at a uniform speed and rotates around the fixed point at a fixed angular speed. Among them, the fixed point is a point with a fixed position and will not move. The moving point is the point where the position will move. Uniform speed is uniform speed. Angular velocity defines the speed at which an object rotates around the center of a circle in radians per second.

Angular velocity, that is, the radian that an object travels in unit time. A circle is 360 degrees, mathematically recorded as 2π, and the radian is equal to 360/2π, which is about 57 degrees. If the angular velocity is equal to 2π radians per second, it means that it rotates exactly once per second around the center of the circle.

Extended data

The spiral of nature-animal kingdom;

Most mollusks living in water usually move in the water with their shells on their backs, with the larger shell diameter in front and the snail's tip in the back.

When the direction of water flow is opposite to the moving direction, the water flow rotates from the larger diameter part to the smaller diameter part along the spiral of the shell until the tip of the spiral. The flow rate of water will be greatly reduced, so that the static pressure of water behind the shell will be greater than that at the front of the shell.

Under the action of the pressure difference before and after, the shell will automatically move forward. In this way, the resistance of water flow is converted into driving force through the conical spiral.

Even biological macromolecules, such as protein, nucleic acids and polysaccharides, which constitute the main substances of life, have spiral structures, such as the double helix structure in human genetic genes (DNA).

Baidu Encyclopedia-Archimedes Spiral