Determine pressure difference between two points A and B for the setup

1.	Determine pressure difference between two points A and B for the setup as shown in figure.
Answer» G = specific gravity, P_A = pressure at A, P_B = Pressure at B Pressure at any point is the same horizontal line x – x should be same. Hence, pressure at C in left column = pressure at D in right column. Pressure at C = (2 × 1000 × g × 2) + (1 × 1000 × g × 4) + P_A …..(1) pressure at D = (4 × 1000 × g × 2) + P_B ……(2) Equating (1) and (2), 8000 g + P_A = 8000 g + P_B P_A – P_B = 0

Determine pressure difference between two points A and B for the setup as shown in figure.

Answer»

G = specific gravity,

P_A = pressure at A,

P_B = Pressure at B

Pressure at any point is the same horizontal line x – x should be same.

Hence, pressure at C in left column = pressure at D in right column.

Pressure at C

= (2 × 1000 × g × 2) + (1 × 1000 × g × 4) + P_A …..(1)

pressure at D

= (4 × 1000 × g × 2) + P_B ……(2)

Equating (1) and (2),

8000 g + P_A = 8000 g + P_B

P_A – P_B = 0