Question

In: Physics

4. A small plane that travels with constant speed has a mass m = 1563 kg....

4. A small plane that travels with constant speed has a mass m = 1563 kg. This includes loading. The combined area of both wings is 16.3 m. Determine the speed of the wind by
above the wing if the wind speed below the wing is 153 m / s. The air density is 3
1.29 kg / m

Solutions

Expert Solution

answer = velovity at above = V1 =157.689m/s

given vaues

mass= 1563kg

are of both wing =16.3m2

speed of air below the wind = 153 m / s

air density =1.29kg/m3

apply bernoullii theorem

1/2 V12 + g y1 + p1 =1/2 V22 + g y2 + p2

y1 and y2 =horizontal height

p1 andp2 = pressure

v1 and v2 = velocity of air at top and bottom

1/2 V12 + p1 =1/2 V22 + p2

1/2 V12 -1/2 V22 =p2 - p1

1/2 V12 -1/2 V22 =changing pressure

changing pressure =mg/A

1/2 (V12 -V22) = mg/A

1/2 x 1.29x (V12-1532) =1563x9.8/16.3

V12 -1532=(2x1563x9.8/16.3x1.29) = 1456.926

velovity at above = V1 =157.689m/s

genius_generous answered 2 years ago
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