The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 300 square feet is 12,000 pounds when the plane is going 110 miles per hour. Find the lifting force on the wing if the plane slows down to 100 miles per hour.

Question

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing&#039;s surface and the square of the plane&#039;s velocity, v. The lift of a wing with an area of 300 square feet is 12,000 pounds when the plane is going 110 miles per hour. Find the lifting force on the wing if the plane slows down to 100 miles per hour.

Penelope Powers · Accepted Answer

The lifting force F. Varies Jointty as the area A of Square of velocity VSo,  F  ∝  A      v    2      F  =  k  A      v    2  Now,At   A  =  300       ft    2    ,  v  =  11   m/h  ⇒  F  =  12000   poundsSo,  12000  =  k  (  300  )  (  110      )    2      ⇒  k  =      12000          (      300      )      (      110              )        2            Now  F  =      12000          (      800      )      (      110              )        2              [  300  ×      100    2    ]    F  =  12000  ×      100    121     founds    F  =  9917.355   founds    F  ≈  9917   founds

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