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(a) What is the pressure drop due to the Bernoulli effect
Chapter 12, Problem 23(choose chapter or problem)
(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.)
Questions & Answers
QUESTION:
(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.)
ANSWER: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, \(D_{1}=3 \mathrm{~cm}=0.03 \mathrm{~m}\).
So, the radius will be, \(r_{1}=1.5 \mathrm{~cm}=0.015 \mathrm{~m}\).
The diameter of the fire hose is, \(D_{2}=9 \mathrm{~cm}=0.09 \mathrm{~m}\).
So, the radius is \(r_{2}=4.5 \mathrm{~cm}=0.045 \mathrm{~m}\).
The volume flow inside the fire hose is,
\(\dot{V}=40 L / s\)