The gage pressure at the center of pipe A can be determined using the formula:
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.
To calculate the gage pressure, we need to know the density of the fluid and the acceleration due to gravity. Assuming the fluid in pipe A is water, the density of water at 20°C is approximately 1000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s².
First, convert the height h from centimeters to meters:
h = 7 cm = 0.07 m
Substituting the known values into the formula:
P = (1000 kg/m³) * (9.8 m/s²) * (0.07 m)
P = 686 Pa
Therefore, the gage pressure at the center of pipe A is 686 Pascal.