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Water Pressure By Gravity Formula:
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Water pressure by gravity, also known as hydrostatic pressure, is the pressure exerted by a fluid at equilibrium at a given point within the fluid, due to the force of gravity. It increases in proportion to depth measured from the surface.
The calculator uses the hydrostatic pressure formula:
Where:
Explanation: The pressure at any point in a fluid at rest depends only on the depth of that point, the density of the fluid, and the acceleration due to gravity.
Details: Calculating water pressure by gravity is essential in various engineering applications, including plumbing systems, dam design, underwater construction, and hydraulic systems. It helps determine the forces acting on submerged structures and ensures proper system design.
Tips: Enter fluid density in kg/m³ (1000 kg/m³ for water), gravity acceleration in m/s² (9.81 m/s² on Earth), and height in meters. All values must be positive numbers.
Q1: Why is water density important in pressure calculation?
A: Density directly affects pressure - denser fluids exert more pressure at the same depth. Water has a density of approximately 1000 kg/m³ at 4°C.
Q2: Does this formula work for all fluids?
A: Yes, the formula applies to all fluids, but you must use the correct density value for the specific fluid you're calculating pressure for.
Q3: How does gravity affect water pressure?
A: Gravity is the force that causes the weight of the fluid, which creates pressure. On planets with different gravity, the pressure at the same depth would be different.
Q4: What is the pressure at the bottom of a 10m water tank?
A: Using water density of 1000 kg/m³ and gravity of 9.81 m/s², the pressure would be 1000 × 9.81 × 10 = 98,100 Pa.
Q5: How do I convert Pascals to other pressure units?
A: 1 Pascal = 0.000145 psi, 1 kPa = 1000 Pa. For water column, approximately 10,000 Pa = 1 meter of water column.