Solving Bernoulli Problems Homework: Pressure Differential Question

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SUMMARY

The discussion centers on solving a Bernoulli problem involving a horizontal hose and a nozzle. The velocity of water in the hose was calculated using the continuity equation, yielding a result of 8.61 m/s. However, the user struggled with calculating the pressure differential between the hose and the nozzle, initially obtaining an incorrect value of 634.934 Pa. The correct approach involves applying Bernoulli's equation and ensuring the density of water is included in the calculations.

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Homework Statement



A long horizontal hose of diameter 3.8 cm is connected to a faucet. At the other end, there is a nozzle of diameter 1.8 cm. Water squirts from the nozzle at velocity 38 m/sec. Assume that the water has no viscosity or other form of energy dissipation.


a) What is the velocity of the water in the hose ?
this is no prob
A1V1 = A2V2
8.61m/s OK


b) What is the pressure differential between the water in the hose and water in the nozzle ?
i am stuck on this one.




Homework Equations





The Attempt at a Solution



heres what I am doing...
use bernoulli..

P2-P1 = (1/2pv^2)1 - (1/2pv^2)2

P2 - P1 = 634.934Pa
this is wrong.

please help ! thanks
 
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