Description
wingLengthsPerSecond = flightSpeed/wingLength; advancePerBeat = flightSpeed/wingbeatHz; advanceRatio = flightSpeed/(wingLength*wingbeatHz).
Wing geometry and flight measurements use different physical quantities: mass per area, weight per area, span-based shape factors and motion per wingbeat. Their meaning depends on the chosen wing area, length scale and frequency convention.
wingLengthsPerSecond = flightSpeed/wingLength; advancePerBeat = flightSpeed/wingbeatHz; advanceRatio = flightSpeed/(wingLength*wingbeatHz).
When to use this tool
Use Insect Flight Speed Wing Length Factor when checking a supplied wing-geometry or kinematic factor.
How to use the tool and how it works
- Enter flightSpeed, wingLength, wingbeatHz. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read wingLengthsPerSecond, advancePerBeat, advanceRatio. Use the output convention below.
Require nonnegative flightSpeed and positive wingLength and wingbeatHz. wingLengthsPerSecond = flightSpeed/wingLength; advancePerBeat = flightSpeed/wingbeatHz; advanceRatio = flightSpeed/(wingLength*wingbeatHz).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| flightSpeed | Flight Speed | Required. Finite number; minimum 0. |
| wingLength | Wing Length | Required. Finite number; strictly above 0. |
| wingbeatHz | Wingbeat Hz | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| wingLengthsPerSecond | Wing Lengths Per Second | Required. Finite number. |
| advancePerBeat | Advance Per Beat | Required. Finite number. |
| advanceRatio | Flight speed divided by wing length times wingbeat frequency under this local convention. | Required. Finite number. |
{
"input": {
"flightSpeed": 2,
"wingLength": 0.01,
"wingbeatHz": 100
},
"output": {
"wingLengthsPerSecond": 200,
"advancePerBeat": 0.02,
"advanceRatio": 2
}
}Limitations and assumptions
- Use speed in the wing-length unit per second and frequency in Hz. advanceRatio here omits any additional stroke-amplitude or geometric factor used by other aerodynamic definitions.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use an aerodynamic model and suitable observations when the question concerns flight forces, performance or biological function.
References
Similar or alternative tools
- Insect Wing Aspect Factor
Return aspectFactor = span²/wingArea.
- Wing Loading Mass Area Factor
massLoading = bodyMassKg/totalWingAreaM2 in kg/m²; weightLoading = massLoading*gravity in N/m² when gravity is m/s².