An incompressible fluid, whose density is 1000 kg/m³, flows at 4.5 m/s through a horizontal pipe with a radius of 1.0 cm. The pressure in the fluid is 115 kPa. The pipe is connected to a second pipe with a radius of 1.5 cm. The speed of the flow in the second pipe is A) 6.0 m/s. B) 4.5 m/s. C) 3.0 m/s. D) 2.0 m/s.

Question

Quizplus · Accepted Answer

The flow rate must be conserved in an incompressible fluid. The flow rate is given by the product of the cross-sectional area and the velocity. The area of the first pipe is π(0.01 m)^2 and the velocity is 4.5 m/s. The area of the second pipe is π(0.015 m)^2. Setting the flow rates equal gives: π(0.01 m)^2 * 4.5 m/s = π(0.015 m)^2 * v. Solving for v gives v = 2.0 m/s.

An Incompressible Fluid, Whose Density Is 1000 Kg/m3, Flows at 4.5

An Incompressible Fluid, Whose Density Is 1000 Kg/m³, Flows at 4.5