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Calculate the hydrostatic pressure for water moving with constant velocity at a depth of 5 m from the surface.
- a)49 kN/m2
- b)98 kN/m2
- c)since fluid is in motion, we cannot analyse
- d)None of the mentioned
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Calculate the hydrostatic pressure for water moving with constant vel...
If fluid is moving with uniform velocity we treat it analytically same as if fluid is at rest
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p= ρgh.
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Calculate the hydrostatic pressure for water moving with constant vel...
Calculation of Hydrostatic Pressure:
Hydrostatic pressure is the pressure exerted by a fluid at rest due to the force of gravity. It depends on the density and depth of the fluid.
Given:
Depth of water = 5 m
Key Formula:
The hydrostatic pressure can be calculated using the formula:
P = ρgh
Where:
P = Hydrostatic Pressure
ρ = Density of the fluid
g = Acceleration due to gravity
h = Depth of the fluid
Calculation:
In this case, we are considering water as the fluid. The density of water is approximately 1000 kg/m³ and the acceleration due to gravity is approximately 9.8 m/s².
Using the formula, we can calculate the hydrostatic pressure:
P = ρgh
= 1000 kg/m³ * 9.8 m/s² * 5 m
= 49000 N/m²
= 49 kN/m²
Therefore, the hydrostatic pressure for water moving with constant velocity at a depth of 5 m from the surface is 49 kN/m².
Conclusion:
Option 'A' (49 kN/m²) is the correct answer.
Hydrostatic pressure is the pressure exerted by a fluid at rest due to the force of gravity. It depends on the density and depth of the fluid.
Given:
Depth of water = 5 m
Key Formula:
The hydrostatic pressure can be calculated using the formula:
P = ρgh
Where:
P = Hydrostatic Pressure
ρ = Density of the fluid
g = Acceleration due to gravity
h = Depth of the fluid
Calculation:
In this case, we are considering water as the fluid. The density of water is approximately 1000 kg/m³ and the acceleration due to gravity is approximately 9.8 m/s².
Using the formula, we can calculate the hydrostatic pressure:
P = ρgh
= 1000 kg/m³ * 9.8 m/s² * 5 m
= 49000 N/m²
= 49 kN/m²
Therefore, the hydrostatic pressure for water moving with constant velocity at a depth of 5 m from the surface is 49 kN/m².
Conclusion:
Option 'A' (49 kN/m²) is the correct answer.
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Community Answer
Calculate the hydrostatic pressure for water moving with constant vel...
A submarine with its axis 15 m below water surface fitted with Pitot tube moves horizontally in a sea of specific gravity 1.026 is fitted with mercury U-tube differential manometer giving a deflection of 170 mm. calculate the speed of sub-marine.
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