(a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.00-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 40.0 L/s? (b) To what maximum height above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)

Solution 23PE:

Step 1 of 4:-

Here we have to find the pressure drop and the maximum height above the nozzle which the water can reach.

The diameter of the 1st nozzle is, .

So, the radius will be, .

The diameter of the fire hose is, .

So, the radius is .

The volume flow inside the fire hose is,

Step 2 of 4:-

From the given data, we can find the speed of the liquid as,

In the same way we can find also.