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Question

A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m2, assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be :

(Pair=1.2kg/m3).


A

2.4 × 105 N downwards

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B

4.8 × 105 N, downwards

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C

4.8 × 105 N, upwards

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D

2.4 × 105 N, upwards

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Solution

The correct option is D

2.4 × 105 N, upwards


From Bernoulli's equation

P=P0+12ρv2

Force will act due to pressure difference

P=P0=12ρv2

=12×1.2×(40)2
=0.0096×105

Force acting upwards

F=0.0096×105×250=2.4×105 N upwards


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