Pressure in water increases with depth due to the weight of the water above. The relationship between pressure and depth in a fluid is given by the hydrostatic pressure formula:
P=P0+ρgh
where:
· P is the pressure at depth,
· P0 is the atmospheric pressure at the surface (approximately 101,325101,325101,325 Pa or 111 ATM at sea level),
· P is the density of the fluid (for water, approximately 100010001000 kg/m³),
· g is the acceleration due to gravity (approximately 9.819.819.81 m/s²),
· h is the depth below the surface of the fluid.
For example, at a depth of 10 meters in water, the pressure can be calculated as:
P=101,325 Pa+(1000 kg/m3×9.81 m/s2×10 m)
P=101,325 Pa+98,100 Pa
P=199,425 Pa
So, the pressure at 10 meters depth in water is approximately 199,425 Pa, or about 2 atm.
Do you need further details or calculations related to water pressure?
Explain how we get by this calculation (P=P0+ρgh) - atmospheric pressure + (density of the fluid multiply with acceleration due to gravity and multiply with the length (height) of the depth) Why we are multiplying all these?
Can you explain or show this (1000 kg/m3×9.81 m/s2×10 m) calculation directly?