Final answer:
To estimate the pressure p¹ in the given flow, we can use Bernoulli's equation. By substituting the known values into the equation, we can solve for p¹.
Step-by-step explanation:
To estimate the pressure p¹ for the given flow, we need to apply Bernoulli's equation. The equation states that the total pressure at one point in a fluid system is equal to the sum of the pressure due to the height of the fluid (hydrostatic pressure) and the pressure due to the velocity of the fluid (dynamic pressure).
In this case, we have the values of H₅ (5 cm), D₁₂₀ (20 cm), D₂₁₀ (10 cm), and the specific gravity of mercury (SHgₕ). We can substitute these values into the equation and solve for p¹.
By substituting the known values and solving the equation, we can estimate the pressure p¹.