Answer:
Ponding will occur in 40mins
Explanation:
We say that the infiltration rate is the velocity or speed at which water enters into the soil. This often times is measured by the depth (in mm) of the water layer that can enter the soil in one hour. An infiltration rate of 15 mm/hour means that a water layer of 15 mm on the soil surface, will take one hour to infiltrate.
Consider checking attachment for the step by step solution.
Answer:
See attached images for the diagrams and tables
Answer:
Part A
The mass plow rate, is approximately 97.0 lbm/s
Part B
The power used to overcome friction, is approximately 1.9 hp
Explanation:
The efficiency of the pump, η = 80%
The power input to the pump, P = 20 hp
The speed of the water through the pipe, v = 10 ft./s
The diameter of the pipe, d = 5.2 inches = 13/30 ft.
The free surface of the pool above the lake, h = 80 ft.
The density of the water, ρ = 62.4 lbm/ft.³
Part A
The mass plow rate, = Q × ρ
Where;
ρ = 62.4 lbm/ft³
Q = A × v
A = The cross-sectional area of the pipe
∴ Q = π·d²/4 × v = π × ((13/30 ft.)²)/4 × 10 ft.s ≈ 1.4748 ft.³/s
∴ The mass plow rate, ≈ 1.4748 ft.³/s × 62.4 lbm/ft.³ = 97.02752 lbm/s
The mass plow rate, ≈ 97.0 lbm/s
Part B
The power to pump the water at the given rate, =
·g·h
∴ = 97.02752 lbm/s × 32.1740 ft./s² × 80 ft. ≈ 14.1130725 Hp
≈ 14.1130725 Hp
The power output of the pump, = 0.8 × 20 hp = 16 hp
Therefore, the power used to overcome friction, =
-
∴ ≈ 16 hp - 14.1130725 Hp ≈ 1.8869275 hp
The power used to overcome friction, ≈ 1.9 hp