An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 5.00 m/s and the velocity of the fluid in the narrow section of pipe is 8.00 m/s. The pressure of the fluid in the wide section is 200 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 680 kg/m³) A) 155 kPa B) 160 kPa C) 175 kPa D) 187 kPa E) 207 kPa

Question

Quizplus · Accepted Answer

Bernoulli's equation: P + 1/2 * ρ * v^2 = constant. Since the fluid is incompressible, the density is constant. Therefore, P + 1/2 * ρ * v^2 is constant. In the wide section, P = 200 kPa and v = 5.00 m/s. In the narrow section, v = 8.00 m/s. Therefore, P = 200 kPa + 1/2 * 680 kg/m^3 * (8.00 m/s)^2 - 1/2 * 680 kg/m^3 * (5.00 m/s)^2 = 187 kPa.

An Incompressible Fluid Is Flowing Through a Horizontal Pipe with a Constriction