MathPlotAI Logo MathPlotAI

Rotation vs. Time Simulation

Rotation vs. Time Simulation
Loading the math board and drawing, please wait…
2017-09-27 09:58
Coordinate GeometryGraphing
This example demonstrates the dynamic relationship between rotation angle and time. It involves core math concepts like rotation, time, function graphs, and coordinate geometry. Construction highlights include using commands like Textfield, Segment, Rotate, Circle, and InputBoxes for parameter input, combined with Slider Animation to visualize changes. Suitable for high school mathematics education, linking function graphs with geometric transformations.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox1
  2. Textfield(a) → InputBox2
  3. Textfield(b) → InputBox3
  4. Segment(A, B) → g
  5. Rotate(A, (f(t))°, A) → A'
  6. Rotate(B, (f(t))°, A) → B'
  7. Segment(A', B') → g'
  8. Rotate(A, (h(t) / ((2 * π)) * 360), A) → A'_{1}
  9. Rotate(B, ((h(t) / 360 * 2) * π), A) → B'_{1}
  10. Segment(A'_{1}, B'_{1}) → g'_{1}
  11. Textfield(t) → InputBox4
  12. Circle(A, B) → e