1. The pressure in the atmosphere is not constant, but fluctuates as the weather

Question

1. The pressure in the atmosphere is not constant, but fluctuates as the weather changes. If the pressure outside a window drops by 4% while the pressure inside does not change, what is the force on the window? Assume the area of the window is 1.9 m2. (The positive direction is toward the inside of the window. Indicate the direction with the sign of your answer. Assume that the initial pressure inside and outside the window is initially 1 atm.)

2.A block sits on a plate that in turn rests on the surface of a fluid as shown in the figure below. The plate is partially submerged in the fluid, its area is 0.40 m2, and there is air at atmospheric pressure Patm above the block and liquid. If the mass of the block and plate together is 13 kg, what is the pressure P in the fluid just below the plate? Express your answer as P ? Patm.

3.When a person is given intravenous fluid, the bag containing the fluid is typically held about 1.1 m above the person's body. If the pressure in this fluid is just barely able to push the fluid into the person, what is the pressure in the person's blood? (The density of the intravenous fluid is approximately that of water.)

4.Consider a rectangular swimming pool of depth 1.9 m with a width and length of 13 m. What is the force exerted by the water on one of the sidewalls of the pool?

Explanation / Answer

1. The differential pressure= .96 atm

Force= Pressure x area= -.96 x 1.9= -1.824 atm m2

= -182400N (Towards the outside)

2. Pressure= P- Patm

= 13 x 9.8 / 0.4 = 318.5 N/m2

3. Pressure= hdg=1.1 x 1000 x 9.8= 1.078 x 10^4 Pa

4. Force = P x area

integration of hdg= y x 1000 x 9.8 x 13 dy over the interval y=0 to 1.9

127.4 x 500 x 3.61= 229957 N

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