Horizontal Coordinate of Ferris Wheel per Time

Horizontal Coordinate of Ferris Wheel per Time
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2017-06-14 22:17
In collections Math Year 4 Unit 1
This example demonstrates the horizontal coordinate of a Ferris wheel as a function of time. Key mathematical concepts include trigonometry and coordinate geometry. Using GeoGebra commands such as Line, Rotate, OrthogonalLine, and Intersect, the motion trajectory of the Ferris wheel can be constructed. Suitable for high school mathematics education or learning.

GeoGebra Commands & Parameters

  1. Line(G1, G2) → q
  2. Rotate(Zero, α, C) → Zero'
  3. OrthogonalLine(Zero', q) → r
  4. Intersect(r, q) → A
  5. Segment(Zero', A) → s
  6. Point(s) → G
  7. Point(s) → F
  8. Line(G, F) → h_1
  9. OrthogonalLine(C, s) → f_1
  10. Circle(C, 50) → c
  11. Segment(C, G1) → a
  12. Segment(C, G2) → b
  13. Angle(Zero, C, Zero') → β
  14. Segment(C, Zero') → d
  15. Rotate(Zero, 30° + α, C) → Zero'_1
  16. Angle(Zero, C, Zero'_1) → γ
  17. Segment(C, Zero'_1) → e
  18. Rotate(Zero, 60° + α, C) → Zero'_2
  19. Angle(Zero, C, Zero'_2) → δ
  20. Segment(C, Zero'_2) → f
  21. Rotate(Zero, 90° + α, C) → Zero'_3
  22. Angle(Zero, C, Zero'_3) → ε
  23. Segment(Zero'_3, C) → g
  24. Rotate(Zero, 120° + α, C) → Zero'_4
  25. Angle(Zero, C, Zero'_4) → ζ
  26. Segment(Zero'_4, C) → h
  27. Rotate(Zero, 150° + α, C) → Zero'_5
  28. Angle(Zero, C, Zero'_5) → η
  29. Segment(Zero'_5, C) → i
  30. Rotate(Zero, 180° + α, C) → Zero'_6
  31. Angle(Zero, C, Zero'_6) → θ
  32. Segment(Zero'_6, C) → j
  33. Rotate(Zero, 210° + α, C) → Zero'_7
  34. Angle(Zero, C, Zero'_7) → ι
  35. Segment(Zero'_7, C) → k
  36. Rotate(Zero, 240° + α, C) → Zero'_8
  37. Angle(Zero, C, Zero'_8) → κ
  38. Segment(Zero'_8, C) → l
  39. Rotate(Zero, 270° + α, C) → Zero'_9
  40. Angle(Zero, C, Zero'_9) → λ
  41. Segment(Zero'_9, C) → m
  42. Rotate(Zero, 300° + α, C) → Zero'_{10}
  43. Angle(Zero, C, Zero'_{10}) → μ
  44. Segment(Zero'_{10}, C) → n
  45. Rotate(Zero, 330° + α, C) → Zero'_{11}
  46. Angle(Zero, C, Zero'_{11}) → ν
  47. Segment(Zero'_{11}, C) → p
  48. OrthogonalLine(Zero'_1, d) → t
  49. Intersect(d, t) → B
  50. OrthogonalLine(Zero'_2, d) → b_1
  51. Intersect(b_1, d) → D
  52. Distance(D, C) → distanceDC
  53. Intersect(h_1, f_1) → E
  54. Segment(C, E) → g_1

AI Drawing Prompt Reference

Draw a Ferris wheel's horizontal coordinate over time. Start by drawing a horizontal line, then rotate around a central point to create a series of vertical lines that intersect with the horizontal line, forming the Ferris wheel's spokes. Next, use rotation and angle measurements to construct the Ferris wheel's disk and mark points at different angles on the disk, finally connecting these points to form the outline of the Ferris wheel.
The prompt above was compiled from the original drawing commands and is for reference only.