// multi-utility computation suite · offline · instant · precise
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sci.wind-speed-power-law-profile Calculator
Calculates wind speed at hub height from reference height measurement using the power law: V(h) = V_ref × (h/h_ref)^α. Wind shear exponent α = 1/7 (≈ 0.143) for open terrain — higher α over rough terrain (forests, buildings) means hub height wind speed departs significantly from near-surface measurements.
Inputs
V Ref M S
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Z Ref M
Vertical measurement. For health calculators, typically standing height without shoes.
Z M
Vertical measurement. For health calculators, typically standing height without shoes.
Alpha
Reference formula or conversion factor shown for context.
Results
wind speed at height z (m/s)
The computed height.
power ratio P(z)/P(ref)
The proportional relationship between two quantities.
Hellmann power law: v = v_ref·(z/z_ref)^α
Sample size or count used in the calculation.
hub height gain
The computed height.
wind power P ∝ v³
Sample size or count used in the calculation.
terrain category
The classification bucket this result falls into based on the computed value and the applicable reference scale.