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What is the formula for induced velocity for a helicopter while it hovers?(a) vh=\(\frac {T}{2\rho A}\)(b) vh=\(\sqrt {\frac {T}{2\rho A}}\)(c) vh=\(\frac {T^2}{\rho A}\)(d) vh=2ρATI got this question in homework.My question comes from Momentum Theory topic in division Helicopter Dynamics of Aerodynamics

Answer»

Right answer is (b) vh=\(\sqrt {\frac {T}{2\rho A}}\)

Best explanation: Momentum EQUATION helps in GIVING us a relation between the thrust of the rotor and the induced velocity. It is GIVEN by:

T=2ρAvh^2

Which is rearranged to obtain the induced velocity:

vh=\(\sqrt {\frac {T}{2\rho A}}\)

Where, T is the TOTAL thrust

A is area of actuator DISK

vh is induced velocity at rotor disk.



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