What is the gauge pressure at the bottom of the cylinder?
To determine the gauge pressure at the bottom of the cylinder, we need to use the formula:
P = P₀ + ρgh
where P is the gauge pressure, P₀ is the atmospheric pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column.
Given:
P₀ = 101.3 kPa (standard atmospheric pressure)
ρ = 1000 kg/m³ (density of water)
g = 9.8 m/s² (acceleration due to gravity)
h = 15 m
Converting the atmospheric pressure to Pascals:
P₀ = 101.3 kPa * 1000 = 101,300 Pa.
Calculating the gauge pressure:
P = 101,300 Pa + (1000 kg/m³ * 9.8 m/s² * 15 m)
P = 101,300 Pa + 147,000 Pa
P ≈ 248,300 Pa
Therefore, the gauge pressure at the bottom of the cylinder is approximately 248,300 Pa.
To determine the gauge pressure at the bottom of a cylinder, you need to know the density of the fluid inside the cylinder and the height of the fluid column.
The formula to calculate gauge pressure is:
gauge pressure = (density of fluid) x (acceleration due to gravity) x (height)
First, determine the density of the fluid. This could be provided in the question or you may need to look it up if it is specific to a certain fluid. For example, the density of water is approximately 1000 kg/m³.
Next, determine the height of the fluid column. This is the vertical distance from the bottom of the cylinder to the surface of the fluid. Again, this information should be provided or you may need to measure it or estimate it based on the given information.
Once you have the density and height, substitute them into the formula along with the acceleration due to gravity (approximately 9.8 m/s²) to calculate the gauge pressure at the bottom of the cylinder.
To determine the gauge pressure at the bottom of a cylinder, we need to consider the hydrostatic pressure at that depth. The formula for hydrostatic pressure is given by:
P = ρ * g * h
Where:
P is the hydrostatic pressure
ρ is the density of the fluid
g is the acceleration due to gravity
h is the depth of the point below the surface of the fluid
Please provide the density of the fluid and the depth of the point below the surface to calculate the gauge pressure at the bottom of the cylinder.