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If the water pressure gauge shows the pressure at ground floor to be 270 k Pa, how high would water (Ans. 27.6 m

Question

If the water pressure gauge shows the pressure at ground floor to be 270 kPa, how high would water (Ans. 27.6 m)

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Solution

The question seems to be asking for the height of a column of water that would produce a pressure of 270 kPa.

The pressure at a certain depth (or height) in a fluid is given by the equation P = ρgh, where:

  • P is the pressure,
  • ρ is the fluid density,
  • g is the acceleration due to gravity, and
  • h is the height of the fluid column above the point in question.

We can rearrange this equation to solve for h: h = P / (ρg).

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.81 m/s². So we can substitute these values into the equation to find the height:

h = 270,000 Pa / (1000 kg/m³ * 9.81 m/s²) = 27.6 m.

So a water pressure of 270 kPa corresponds to a water column height of approximately 27.6 meters.

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