A level pipe contains a nonviscous, incompressible fluid with a density 1200 kg/m³ that is flowing steadily. At one position within the pipe, the pressure is 300 kPa and the speed of the flow is 20.0 m/s. At another position, the pressure is 200 kPa. What is the speed of the flow at this second position? A) 567 m/s B) 16.2 m/s C) 32.9 m/s D) 23.8 m/s E) 186 m/s

Question

Quizplus · Accepted Answer

We can use Bernoulli's equation to solve this problem:

P1 + 1/2*density*v1^2 = P2 + 1/2*density*v2^2

where P1 and v1 are the pressure and speed at the first position, and P2 and v2 are the pressure and speed at the second position.

Substituting the given values:

300 kPa + 1/2*(1200 kg/m³)*(20.0 m/s)^2 = 200 kPa + 1/2*(1200 kg/m³)*v2^2

Solving for v2:

v2 = sqrt[(300 kPa - 200 kPa)/(1200 kg/m³)] = 23.8 m/s

Therefore, the answer is D.

A Level Pipe Contains a Nonviscous, Incompressible Fluid with a Density