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Time Fractions

Time Fractions
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2024-10-14 20:12
In collections The Domain of the Time (intuitive kinematics)
This example demonstrates the conversion of hours, minutes, and seconds into fractional forms, visualizing the relationships between time units. It involves core math concepts like fractions, unit conversion, coordinate geometry, and vector operations. Construction highlights include using GeoGebra commands/objects such as CurveCartesian, Point, Sequence, Circle, Vector, and Segment. Suitable for

GeoGebra Commands & Parameters

  1. CurveCartesian(P2 + (0.45; pi / 2 - t), t, 0, (2 * pi)) → curvaS
  2. CurveCartesian(P1 + ((0.82 * r); pi / 2 - t), t, 0, (2 * pi)) → curvaM
  3. CurveCartesian(P1 + ((0.6 * r); pi / 2 - t), t, 0, (2 * pi)) → curvaH
  4. Point(curvaH) → H
  5. Sequence(Segment[P1 + (2; s°), P1 + (1.9; s°)], s, 0, 360, 6) → marcasM
  6. Sequence(Segment[P2 + (0.6; s°), P2 + (0.55; s°)], s, 0, 360, 6) → marcasS
  7. Sequence(Segment[P2 + (0.6; s°), P2 + (0.5; s°)], s, 0, 360, 30) → marcasS2
  8. Point(Sequence[Point[curvaM, k / 60], k, 0, 59]) → M
  9. Circle(P2, 0.6) → circS
  10. Point(Sequence[Point[curvaS, k / 60], k, 0, 59]) → S
  11. Circle(P1, r) → circM
  12. Sequence(Segment[P1 + (2; s°), P1 + (1.75; s°)], s, 0, 360, 30) → marcasH
  13. Circle(P1, r) → circH
  14. Vector(P1, (1.04 * H) - (0.04 * P1)) → libreH
  15. Vector(P1, (1.04 * M) - (0.04 * P1)) → libreM
  16. Segment(P2, (1.04 * S) - (0.04 * P2)) → libreS
  17. Point(curvaH, (tiempo(4) - (12 * (tiempo(4) ≥ 12)) + tiempo(3) / 60 + tiempo(2) / 3600) / 12) → HH
  18. Point(curvaM, tiempo(3) / 60) → MM
  19. Point(curvaS, tiempo(2) / 60) → SS
  20. Vector(P1, (1.04 * HH) - (0.04 * P1)) → actualH
  21. Vector(P1, (1.04 * MM) - (0.04 * P1)) → actualM
  22. Segment(P2, (1.04 * SS) - (0.04 * P2)) → actualS