Final answer:
The static pressure at the base of an irrigation ballast tank with a 30 ft water line above ground can be calculated using the hydrostatic pressure formula, resulting in a pressure of 89414.4 Pa.
Step-by-step explanation:
To calculate the static pressure at the base of an irrigation ballast tank with a mean full water line that is 30 ft (9.14 m) above the ground, we use the formula for hydrostatic pressure, which is P = ρgh. Here, ρ represents the density of water, g is the acceleration due to gravity, and h is the height of the water column.
To proceed with the calculation, we'll use the density of water, which is approximately 1000 kg/m³, and the standard gravitational acceleration, which is 9.81 m/s². The height of the water column, h, is given as 9.14 m.
Substituting these values into the formula, the static pressure P can be calculated as follows:
P = 1000 kg/m³ * 9.81 m/s² * 9.14 m = 89414.4 N/m²
This pressure can also be expressed in pascals (Pa) since 1 N/m² is equivalent to 1 Pa. Therefore, the static pressure at the base of the tank is 89414.4 Pa.