a fountain in a garden can raise the water to a height 50m .find the minimum pressure at the buttom
Answers
If a fountain in a garden can raise the water to a height of 50 m, then the minimum pressure at the bottom is 490 kPa.
Explanation:
We know that,
The pressure exerted by a static fluid depends on the density of the fluid, acceleration due to gravity and the height of the fluid column.
∴ Pressure = (density) * (acceleration due to gravity) * (height) = ρ*g*h ….. (i)
Now, let the minimum pressure of the water at the bottom be “Pmin”.
Density of water, ρ = 1000 kg/m³
Acceleration due to gravity, g = 9.8 m/s²
The height to which the water of the fountain can raise, h = 50 m
Thus,
The minimum pressure at the bottom is given by,
= ρ*g*h
= [1000 kg/m³] * [9.8 m/s²] * [50 m]
= 490000 Pa
= 490 kPa
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