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Kiteboarding Apparent Wind and Force Screen — result sheet
Estimate apparent wind, aerodynamic dynamic pressure, lift, drag, and resultant kite force from wind, rider speed, angle, kite area, and coefficients.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Apparent wind speed Vₐ = √(Vw² + Vr² − 2VwVr cos θ). Dynamic pressure q = ½ρVₐ². Lift = qA Cₗ, drag = qA Cᵈ, and resultant aerodynamic force = √(lift² + drag²). The angle is measured between the true-wind vector and the motion vector in this simplified two-dimensional model.
This page is a first-pass vector and aerodynamic screen. Real kite force depends on the kite’s airfoil, angle of attack, trim, line angle, apparent-wind direction, gusts, rider technique, and water or land conditions; the result is not a kite-size or safe-wind recommendation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- True wind speed — m/s; minimum 0.1; maximum 60
- Rider or kite speed component — m/s; minimum 0; maximum 60
- Angle between wind and motion — degrees; minimum 0; maximum 180
- Kite reference area — m²; minimum 0.1; maximum 100
- Air density — kg/m³; minimum 0.5; maximum 2
- Lift coefficient Cₗ — dimensionless; minimum 0; maximum 5
- Drag coefficient Cᵈ — dimensionless; minimum 0; maximum 5
Worked example
| Input | Value |
|---|---|
| True wind speed | 10 |
| Rider or kite speed component | 5 |
| Angle between wind and motion | 90 |
| Kite reference area | 10 |
| Air density | 1.225 |
| Lift coefficient Cₗ | 0.8 |
| Drag coefficient Cᵈ | 0.1 |
At 10 m/s wind, 5 m/s motion, and a 90° included angle, apparent wind is about 11.18 m/s; the simplified lift is about 612.5 N, drag about 76.6 N, and resultant about 617.3 N.
Assumptions and limits
- Wind and motion are represented by two vectors with the entered included angle.
- The apparent wind formula uses the magnitude of their relative velocity.
- Air density is entered directly and is not calculated from altitude, humidity, or temperature.
- Kite area is treated as a reference area consistent with the chosen coefficients.
- Lift and drag coefficients are user-supplied dimensionless scenario values.
- The resultant combines lift and drag as perpendicular components for a simple screen.
- Tether, line, harness, board, rider, wave, gust, and control-system loads are not modeled.
- The model is not a structural, weather, launch, landing, or emergency calculation.
- A force estimate can change rapidly because velocity is squared in dynamic pressure.
- Riders must follow training, local weather information, equipment limits, and site rules.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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