Kelvi

A wind with speed $40$ ms $^{-1}$ blows parallel to the roof of a house. The area of the roof is $250$ m $^2.$ 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 $(\rho_{air} = 1.2$ kg m $^{-3})$

medium

Mechanical Properties of Fluids

2015

physics

$4.8 \times 10^5$ N, upwards

$2.4 \times 10^5$ N, upwards

$2.4 \times 10^5$

Explanation

To solve this problem, we will use Bernoulli's principle, which relates the pressure and velocity of a fluid. $\\$ According to Bernoulli's equation: $\\ P_1 + \frac{1}{2} \rho v_1^2 = P_2 + \frac{1}{2} \rho v_2^2 \\$

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