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.)

The pressure and maximum height are and 161.22 m respectively.

Explanation:

Given that,

Diameter = 3.00 cm

Exit diameter = 9.00 cm

Flow = 40.0 L/s²

We need to calculate the pressure

Using Bernoulli effect

When two point are at same height so ,

....(I)

Firstly we need to calculate the velocity

Using continuity equation

For input velocity,

For output velocity,

Put the value into the formula

(b). We need to calculate the maximum height

Using formula of height

Put the value into the formula

Hence, The pressure and maximum height are and 161.22 m respectively.

hi there!

out of the two, (b) precision would be more reasonable.   however, both a and b could be pretty reasonable.

-awesomerepublic   : )