The pressure at point A is equal to the atmospheric pressure, which is typically about 101.3 kPa.
The pressure difference between points A and B is equal to the hydrostatic pressure of the oil column between the two points, which is calculated to be 1764 Pa. Therefore, the pressure at point B is 103.064 kPa.
The pressure difference between points A and C is equal to the hydrostatic pressure of the entire oil column in the container, which is calculated to be 6562.5 Pa. Therefore, the pressure at point C is 6663.8 kPa.
Pressure at point A
The pressure at point A is equal to the atmospheric pressure, since the container is open to the atmosphere on the left. Atmospheric pressure is typically about 101.3 kPa, so the pressure at point A is 101.3 kPa.
Pressure difference between points A and B
The pressure difference between points A and B is equal to the hydrostatic pressure of the oil column between the two points. The hydrostatic pressure is calculated using the following equation:
P = ρgh
where:
P is the pressure in Pascals (Pa)
ρ is the density of the fluid in kilograms per cubic meter (kg/m³)
g is the acceleration due to gravity in meters per second squared (m/s²)
h is the height of the fluid column in meters (m)
In this case, the density of the oil is 900 kg/m³, the acceleration due to gravity is 9.81 m/s², and the height of the oil column between points A and B is 0.2 m. Therefore, the pressure difference between points A and B is calculated as follows:
P = (900 kg/m³)(9.81 m/s²)(0.2 m) = 1764 Pa
Therefore, the pressure at point B is 101.3 kPa + 1764 Pa = 103.064 kPa.
Pressure difference between points A and C
The pressure difference between points A and C is equal to the hydrostatic pressure of the entire oil column in the container. The hydrostatic pressure is calculated using the following equation:
P = ρgh
where:
P is the pressure in Pascals (Pa)
ρ is the density of the fluid in kilograms per cubic meter (kg/m³)
g is the acceleration due to gravity in meters per second squared (m/s²)
h is the height of the fluid column in meters (m)
In this case, the density of the oil is 900 kg/m³, the acceleration due to gravity is 9.81 m/s², and the height of the oil column between points A and C is 0.75 m. Therefore, the pressure difference between points A and C is calculated as follows:
P = (900 kg/m³)(9.81 m/s²)(0.75 m) = 6562.5 Pa
Therefore, the pressure at point C is 101.3 kPa + 6562.5 Pa = 6663.8 kPa.