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)
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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