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!

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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