Question
Pressure in fluids at rest Example of solved equation
Answers
GPT 3.5
Example: A cylindrical tank is filled with water to a height of 2 meters. Calculate the pressure at the bottom of the tank.
Solution:
Given:
Height of the water in the tank (h) = 2 m
Density of water (ρ) = 1000 kg/m³ (approximate value)
We can use the equation for pressure in a fluid at rest:
Pressure (P) = ρgh
where:
P is the pressure,
ρ is the density of the fluid,
g is the acceleration due to gravity, and
h is the height of the fluid column.
Plugging in the given values, we get:
P = (1000 kg/m³) × (9.8 m/s²) × (2 m)
P = 19600 Pa
Therefore, the pressure at the bottom of the tank is 19600 Pascal.
Solution:
Given:
Height of the water in the tank (h) = 2 m
Density of water (ρ) = 1000 kg/m³ (approximate value)
We can use the equation for pressure in a fluid at rest:
Pressure (P) = ρgh
where:
P is the pressure,
ρ is the density of the fluid,
g is the acceleration due to gravity, and
h is the height of the fluid column.
Plugging in the given values, we get:
P = (1000 kg/m³) × (9.8 m/s²) × (2 m)
P = 19600 Pa
Therefore, the pressure at the bottom of the tank is 19600 Pascal.