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Calculating maximum load of a hovering helicopter

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The helicopter can produce a maximum downward air speed ( v = 24 m/s ) in a slipstream of a diameter ( D = 9 m). Knowing that the weight of the helicopter and the crew is ( 15 kN ) and assuming air density rho = 1.21 kg/m^3 ), determine the maximum load that helicopter can lift while hovering in midair. ( 29.3 kN )

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This solution is provided in 84 words. It uses upthrust calculations to find the maximum force of the helicopter.

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The upthrust obtained by the helicopter due to air exhaust, Fu = rho*v^2*(pi*D^2/4)
=> Fu = ...

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