Question

Water flows at 0.65 m/s through a 3-cm diameter hose. At the end of the hose is a 0.30-cm-diameter nozzle. If the pump at one end of the hose and the nozzle at the other end are at the same height, and if the pressure at the nozzle is 1 atm, what is the pressure at the pump?

A. 0.27 atm
B. 1 atm
C. 2.33 atm
D. 3.67 atm

Answer 1

The pressure at the pump is equal to the pressure at the nozzle, which is 1 atm.

Step-by-step explanation:

To determine the pressure at the pump, we can use Bernoulli's equation which states that the sum of the pressure, kinetic energy, and potential energy per unit volume of an incompressible, nonviscous fluid is constant along a streamline.

In this case, the fluid is water and the streamline goes from the pump to the nozzle. Since both ends are at the same height and there is no friction, the potential energy is the same at both ends. Therefore, the pressure at the pump is equal to the pressure at the nozzle, which is 1 atm.