Question

What is the pressure drop (in N/m²) due to the Bernoulli effect as water goes into a 2.70 cm diameter nozzle from a 8.90 cm diameter fire hose while carrying a flow of 35.0 L/s?

  N/m²

(b)

To what maximum height (in m) above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)

m

Answer 1

1) given : volume rate flow = 35 L/s =

From principle of continuity :

volume rate flow = . [A1 and A2 are crossection area and v1 and v2 are velocity at respective cross sections.]

According to Bernoulli's Principle for a horizontal tube of non-uniform cross-section :

   [answer]

2) velocity of liquid from the nozzle is .

The height reached above nozzle is under gravity .

therefore, using kinematic equation :

[answer]