Momentum Theory Calculator
Description
This calculator estimates the induced velocity and power consumption
of an ideal, hovering helicopter rotor.
Equations
The following equations are used to estimate the induced velocity \( v_i \)
and power consumption \( P \)
from the input air density \( \rho \),
rotor radius \( R \), and
thrust \( T \).
\[ A = \pi R^2 \]
\[ v_i = \sqrt{T / 2\rho A} \]
\[ P = T v_i \]
For more details including the derivation of these equations see
our article
on momentum theory.
