what is the pressure drop due to the Bernoulli effect as water goes into a 3.20-

Question

what is the pressure drop due to the Bernoulli effect as water goes into a 3.20-cm-diameter nozzle from a 8.50-cm-diameter fire hose while carrying a flow of 38.0 L/s what is the pressure drop due to the Bernoulli effect as water goes into a 3.20-cm-diameter nozzle from a 8.50-cm-diameter fire hose while carrying a flow of 38.0 L/s what is the pressure drop due to the Bernoulli effect as water goes into a 3.20-cm-diameter nozzle from a 8.50-cm-diameter fire hose while carrying a flow of 38.0 L/s

Explanation / Answer

Assuming both are at the same height level,

P1+ 1/2*d*v1^2 = P2 + 1/2*d*v2^2

v1 velocity through nozzle of d=3.2 cm

dV/dt = (pi*d1^2/4)*v1 = 38000 cm^3

v1 = (4.73*10^7) m/sec

v2 = (6.7*10^6) m/sec

P1- P2 = 1/2*d*(v2^2 - v1^2) = 500*(2192.4*10^12) = 1.1*10^18 Pa (ans)

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