FIGURE 15-4
-The circular pipes shown in Figure 15-4 both contain water, but at different pressures. They are connected by means of an inverted U-tube, which contains oil with a density of 800 kg/m³. The heights are: h_A = 7.0 cm, h_B = 20.0 cm, and h_C = 13.0 cm. What is the pressure difference (P_B - P_A) ?

Question

FIGURE 15-4

-The circular pipes shown in Figure 15-4 both contain water, but at different pressures. They are connected by means of an inverted U-tube, which contains oil with a density of 800 kg/m³. The heights are: h_A = 7.0 cm, h_B = 20.0 cm, and h_C = 13.0 cm. What is the pressure difference (P_B - P_A) ?

Quizplus · Accepted Answer

The pressure difference is calculated using the hydrostatic pressure difference due to the oil column: ΔP = ρgh, where ρ is the density of the oil, g is the acceleration due to gravity, and h is the height difference. The effective height difference is (h_B - h_C) - h_A = (20 cm - 13 cm) - 7 cm = 0 cm. Therefore, the pressure difference is due to the oil column between B and C: ΔP = 800 kg/m³ * 9.81 m/s² * 0.07 m = 255 Pa.

FIGURE 15-4 -The Circular Pipes Shown in Figure 15-4 Both Contain Water