Practice problem The container show below holds water and air as shown. What is the pressure at A, B, C and D in #/ft’ and in pascals? A. Water 1 ft

ANSWER:

Since the container is in equilibrium, the pressure at A, B, and C must all be equal. This is because the pressure at a point in a fluid is due to the weight of the fluid above it. The pressure at D is equal to atmospheric pressure, since it is in contact with the air.

To find the pressure at A, B, and C, we can use the following equation:

P = ρgh

where:

  • P is the pressure (Pa)
  • ρ is the density of the fluid (kg/m³)
  • g is the acceleration due to gravity (9.81 m/s²)
  • h is the height of the fluid column above the point (m)

The density of water is 1000 kg/m³, so the pressure at A, B, and C is:

P = 1000 kg/m³ * 9.81 m/s² * 1 m = 9810 Pa

Converting this to #/ft², we get:

P = 9810 Pa * 0.02036 #/ft² = 200 #/ft²

The pressure at D is equal to atmospheric pressure, which is approximately 14.7 #/in². Converting this to #/ft², we get:

P = 14.7 #/in² * 144 in²/ft² = 2116 #/ft²

Therefore, the answers are:

  • A: 200 #/ft²
  • B: 200 #/ft²
  • C: 200 #/ft²
  • D: 2116 #/ft²

In pascals, the pressures are:

  • A: 9810 Pa
  • B: 9810 Pa
  • C: 9810 Pa
  • D: 211600 Pa

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