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Q.

The velocity of air over the upper surface of the wing of an aeroplane is 40 m/s and that on the lower surface is 30 m/s . If the area of the wing is 5m2 and the mass of the wing is 300 kg , the net force acting on the wing is (Density of air =1.3kg/m3 and g=10 m/s2 )

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a

725 N upward

b

725 N downward

c

2275 N upward

d

d2275 N downward

answer is B.

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Detailed Solution

weight =mg =300×10=3000N Up thrust=ρ2A(v22−v12)=1.32×5[(40)2−(30)2] =6.25×5×70×10=35×65=2275N Net force =3000−2275=725N (down)

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The velocity of air over the upper surface of the wing of an aeroplane is 40 m/s and that on the lower surface is 30 m/s . If the area of the wing is 5m2 and the mass of the wing is 300 kg , the net force acting on the wing is (Density of air =1.3kg/m3 and g=10 m/s2 )