Windmill Form 2: Two-stage Gear-ratio Comparison

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Compare two possible overall speed increases for a two-stage windmill drive. Both alternatives share the first-stage ratio you enter; the calculator shows the second-stage ratio required for each.

Windmill Form 2 Interactive Calculator

Enter sail RPM, two total step-ups and a shared first-stage ratio. The tool reports ideal speeds and implied stage-two ratios; it does not select tooth counts or model losses.

0°

Sorted-low ideal output speed
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Sorted-high ideal output speed
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Implied low-path second stage
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Implied high-path second stage
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Equation Used

Rlo=min(Ra,Rb); Rhi=max(Ra,Rb); Nlo=Nsail Rlo; Nhi=Nsail Rhi; R2=Rtotal/R1.
Low and high labels follow sorted total ratios, not the input field order. Both paths are hypothetical ideal alternatives.
  • Entered ratios are output/input speed magnitudes.
  • Low and high totals are sorted numerically.
  • Stage one is shared by both alternatives.
  • All stages are rigid and lossless.
  • Tooth counts, efficiency, wind power, load and structure are omitted.
Same mechanism and inputs as the interactive calculator.

Two-Stage Alternative Ratio comparison

The visual uses connected tangent pitch circles for one shared first stage and two labeled alternative second stages.

What This Calculator Represents

Two ideal total-ratio alternatives factored through one entered first stage.

Ratio Factoring

Rlo=min(Ra,Rb)
Rhi=max(Ra,Rb)
N=NsailR
R2=R/R1

Worked Scenario

At 12 rpm, totals 6.6667 and 8.3333 with R1=2, outputs are 80 and 100 rpm and implied second stages about 3.33 and 4.17.

Assumptions and Limits

No tooth selection, shaft loads, losses, wind power or millstone performance is calculated.

Frequently Asked Questions

Are inputs always low then high?

The calculator sorts them.

Is stage two designed?

No; only its ratio is inferred.

Are losses included?

No.

Are both paths simultaneous?

No; they are alternatives.

Is sail speed predicted?

No.

Can this design gearing?

No.

References

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