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Can you please explain this to me? I have an answer but with no explanation and I would like to know how we came up with the answer v= sqrt((b/a)^1/4). Thank you in advance!

Can you please explain this to me? I have an answer but with no explanation and I would like to know how we came up with the answer v= sqrt((b/a)^1/4). Thank you in advance!

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Can you please explain this to me? I have an answer but with no explanation and I would like to know how we came up with the answer v= sqrt((b/a)^1/4).

Thank you in advance!

 

An airplane flying with speed v experiences a total air resistance force В 22 where a and ß are positive constants depending on the geometry of the airplane. An airplane is in steady flight (constant speed v) which means the engine must provide a forward force that exactly balances the air resistance force Fair. The amount of fuel that the airplane consumes flying a distance D is proportional to the work the engine delivers during the flight. Fair = Induced drag av² + Lift hc.ung saks Force of air on wings Calculate the speed for which the plane consumes a minimum amount of fuel for a flight (at constant speed) over a distance D. Ignore the effects of take-off and landing. Express your answer in the given constants.
Transcribed Image Text:An airplane flying with speed v experiences a total air resistance force В 22 where a and ß are positive constants depending on the geometry of the airplane. An airplane is in steady flight (constant speed v) which means the engine must provide a forward force that exactly balances the air resistance force Fair. The amount of fuel that the airplane consumes flying a distance D is proportional to the work the engine delivers during the flight. Fair = Induced drag av² + Lift hc.ung saks Force of air on wings Calculate the speed for which the plane consumes a minimum amount of fuel for a flight (at constant speed) over a distance D. Ignore the effects of take-off and landing. Express your answer in the given constants.
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