MathPlotAI Logo MathPlotAI

Wheel Rotation - Cycloid

Wheel Rotation - Cycloid
Loading the math board and drawing, please wait…
2015-04-08 04:50
CircleVectorTrigonometryCoordinate GeometryParametric Equation
In collections LEGO MINDSTORMS robotics
This example demonstrates the path traced by a point on the circumference of a rotating wheel, forming a cycloid. It involves parametric equations, rotation, slope, and circle geometry. Constructed using Circle and Vector commands in GeoGebra, it's suitable for high school mathematics teaching on parametric curves and locus problems.

GeoGebra Commands & Parameters

  1. Circle(A, R) → c
  2. Vector(A, B) → u

AI Drawing Prompt Reference

Draw a circle and show the path traced by a point on its circumference as the circle rotates, forming a cycloid. The starting point of the path is the center of the circle, and the size and rotation speed of the circle can be adjusted. Also, draw a vector from the center of the circle to a point on the path, representing the position and direction of that point, which relates to the radius of the circle and the tangent of the cycloid.
The prompt above was compiled from the original drawing commands and is for reference only.