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Gear Ratios Demo

Gear Ratios Demo
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2015-12-14 02:47
TrigonometryCoordinate GeometryGeometric Construction
This example dynamically demonstrates the rotational relationship between meshing gears, visually showcasing the calculation and geometric meaning of gear ratios. It involves core math concepts like ratios, fractions, difference and slope, unit circle, probability, and division. The construction utilizes GeoGebra commands like Rotate and objects such as a, pic1, α, ratio, dist, G, J, K, N, O, P, I, H, B, A_1, D, C_1, Q, R, S, F, E, T, A, M, L, text2, text3, text4, U, B_1, Z, pic4, pic3, pic6, pic7, C, text1. Suitable for middle school students and above to understand mechanical principles and mathematical applications, or for physics courses on transmission systems.

GeoGebra Commands & Parameters

  1. Rotate(K, α, G) → I
  2. Rotate(J, α, G) → H
  3. Rotate(B, α - 10, G) → A_1
  4. Rotate(D, (-((α * 3))) - 1.2, P) → C_1
  5. Rotate(R, α, Q) → F
  6. Rotate(S, α, Q) → E
  7. Rotate(T, α + 0.54, Q) → A
  8. Rotate(O, (-((α * 3))) + 20.5, P) → M
  9. Rotate(N, (-((α * 3))) + 20.5, P) → L
  10. Rotate(N, (-((α * 5))) + 19.5, P) → B_1
  11. Rotate(O, (-((α * 5))) + 19.5, P) → Z
  12. Rotate(D, (-((α * 5))) - 2.2, P) → C