Suppose that a 14 m/s wind is blowing across the roof of your house. The density

Question

Suppose that a 14 m/s wind is blowing across the roof of your house. The density of air is 1.29 kg/m3. Determine the reduction in pressure (below standard atmospheric pressure of stationary air) that accompanies this wind.P_2 - P_1 = pa If the area of the roof of your house is 4.9 m times 6.3 m, what is the force acting on your roof, and in which direction? F_roof N Direction of the force If the maximum net force outward force your roof could withstand is 22000 N at what wind speed will your roof blow outward? V_roof of f = m/s

Explanation / Answer

Given that

Speed of the air across the roof(v2) =14m/s

Speed of the air below is (v1) =0 m/s

Density of the air () = 1.29kg/m3

From the Bernoulli's equation we get

P1 +(1/2)v12 =P2 +(1/2)v22

The pressure difference is

P1-P2 =(1/2)(v22-v12) and (v1 = 0 )

=(0.5)(1.29kg/m3)(14m/s)2

=126.42Pa

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.