3m HEIGHT < 8m > BASE A.) The breeze speed is the speed of the air under the roo

Question

3m HEIGHT

< 8m > BASE

A.) The breeze speed is the speed of the air under the roof. Assuming laminar flow, what is the speed of the air above the roof, in meter per second. Show steps.

B.) Assume the density of air is 1 kg/m^3, and using Bernoulli’s law, what is the difference in pressure between the large bottom pressure and the smaller top pressure? Show steps.

C.) What is the lifting force on the roof, in Newtons? Use the area of the base of the roof, 8m x 10m for the surface area. Show steps.

Buoyed by Bernoulli A picnic area roof has the shape of two triangular wedges back-to-back. The base of the roof has a length of 8 m and a depth of 10 m, and the height in the middle where the wedges meet is 3 m see drawing of a cross-section of the roof below). Neglecting height changes in Bernoulli's equation you will find the net upward force on the roof in a breeze of 1 m/s. 3m 8 m Arn t.the bolen. (lc) to get tle :4impfuva (8A) (4 Points) The breeze speed is the speed of the air under the roof. Assuming laminar flow, what is the speed of the air above the roof, in meters per second? Speed of airflow above roof = 21n m/s (8B) ( 4 Points) Assuming the density of air is 1 kg / m*3, and using Bernoulli's law, what is the difference in pressure between the larger bottom pressure and the smaller top pressure?. ference in pressure P_bot - P_top 1meePa (8C) (2 Points) What is the lifting force on the roof, in Newtons? Use the area of the base of the roof, 8m x 10m for the surface area Lifting force = Lift4

Explanation / Answer

part A :

using the equation of continuity

A1V1 = A2V2

A1 is the area at the top = 0.5 * base * height

A1 = 0.5 * 8 * 3 = 12 m^2

A2 = area at bottom = length * breadth

A2 = 8*10 = 80 m^2

v2 = 1 m/s

V1 = 80*1/12

V1 = 6.67 m/s

-------------------------------------

pressure Differnece P = 0.5 rho v^2 - 0.5 rho v1^2

P = 0.5* 1* (6.67^2 - 1^1)

P = 21.7 Pa

-----------------------------------------

part C:

pressure = force/area

F = P A

F = 21.7 * 8* 10

F = 1739.55 N

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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