Suppose a flat roof has a surface area of 8.60000×101 m2. Presume the air inside

Question

Suppose a flat roof has a surface area of 8.60000×101 m2. Presume the air inside the building (and under the roof) is at atmospheric pressure, 1.01325×105 Pa, and that the air racing across the top of the roof is at a pressure of 9.95336×104 Pa. What is the force with which the air inside the house pushes the roof upward? (please calculate this to 5 significant digits) What is the force with which the air outside the house pushes the roof downward? (again, calculate this value to 5 significant digits) The lift force takes into account the combination of these two forces. What is the lift force acting on the roof? Suppose a flat roof has a surface area of 8.60000×101 m2. Presume the air inside the building (and under the roof) is at atmospheric pressure, 1.01325×105 Pa, and that the air racing across the top of the roof is at a pressure of 9.95336×104 Pa. What is the force with which the air inside the house pushes the roof upward? (please calculate this to 5 significant digits) What is the force with which the air outside the house pushes the roof downward? (again, calculate this value to 5 significant digits) The lift force takes into account the combination of these two forces. What is the lift force acting on the roof? Suppose a flat roof has a surface area of 8.60000×101 m2. Presume the air inside the building (and under the roof) is at atmospheric pressure, 1.01325×105 Pa, and that the air racing across the top of the roof is at a pressure of 9.95336×104 Pa. What is the force with which the air inside the house pushes the roof upward? (please calculate this to 5 significant digits) What is the force with which the air outside the house pushes the roof downward? (again, calculate this value to 5 significant digits) The lift force takes into account the combination of these two forces. What is the lift force acting on the roof?

Explanation / Answer

a)
F inside = P inside * A
                  = 1.01325*10^5 * 8.60000*10^1
                  =8.7140*10^6 N
Answer: 8.7140*10^6 N

B)
F outside = P outside * A
                  = 9.95336*10^4 * 8.60000*10^1
                  =8.5599*10^6 N
Answer: 8.5599*10^6 N

C)
Lift = F inside - F outside
        = 8.7140*10^6 N- 8.5599*10^6 N
        = 154100 N
Answer: 154100 N

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