a) A transport aircraft has a wing span of 35 meters and weight of 125,000lbs, and it is trav- cling at 500mph through air of density 0.8 kg/m³. Suppose that the wings deflect air ±lm above/below it. What should the deflection angle a (assumed small) be so that the aircraft produces enough lift to balance its weight? b) Compute the following quantities and present your answers in both the Cartesian basis and the cylindrical basis. Әт Vr, V0, მr მ0’_მამ0 c) Given the pressure field p = xy² + x², calculate the derivative of p at point (x, y) = (2,3) in the direction tangent to the curve y² along which p decreases most rapidly. - 2x = 5. At the same point, determine the direction

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.23P
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Please show all work for a,b, & c.

a) A transport aircraft has a wing span of 35 meters and weight of 125,000lbs, and it is trav-
cling at 500mph through air of density 0.8 kg/m³. Suppose that the wings deflect air ±lm
above/below it. What should the deflection angle a (assumed small) be so that the aircraft
produces enough lift to balance its weight?
b) Compute the following quantities and present your answers in both the Cartesian basis and
the cylindrical basis.
Әт
Vr, V0,
მr
მ0’_მამ0
c) Given the pressure field p = xy² + x², calculate the derivative of p at point (x, y) = (2,3) in
the direction tangent to the curve y²
along which p decreases most rapidly.
-
2x = 5. At the same point, determine the direction
Transcribed Image Text:a) A transport aircraft has a wing span of 35 meters and weight of 125,000lbs, and it is trav- cling at 500mph through air of density 0.8 kg/m³. Suppose that the wings deflect air ±lm above/below it. What should the deflection angle a (assumed small) be so that the aircraft produces enough lift to balance its weight? b) Compute the following quantities and present your answers in both the Cartesian basis and the cylindrical basis. Әт Vr, V0, მr მ0’_მამ0 c) Given the pressure field p = xy² + x², calculate the derivative of p at point (x, y) = (2,3) in the direction tangent to the curve y² along which p decreases most rapidly. - 2x = 5. At the same point, determine the direction
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