Helicopter Hover Power Calculator
Description
This calculator estimates the power consumption
of a hovering helicopter rotor.
Probably the best book on helicopter performance is Prouty's Helicopter Performance, Stability, and Control.
Equations
The following equations are used to estimate the
power consumption \( P \)
from the input air density \( \rho \),
main rotor radius \( R \), and
gross weight \( W \).
These equations assume a non-ideal rotor with figure of merit \( F \) and thrust \( T \) 2% larger than the helicopter weight (to counteract fuselage download from rotor wash).
It's also assumed that the tail rotor consumes 10% of the power required by the main rotor.
The assumptions and equations are only rough estimates of reality.
\[ A = \pi R^2 \]
\[ T = 1.02 W \]
\[ v_i = \sqrt{T / 2\rho A} \]
\[ P_{MR} = T v_i / F \]
\[ P = 1.1 P_{MR} \]
For more details including the derivation of these equations see
our article
on helicopter performance.
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