Solving Bernoulli Problems Homework: Pressure Differential Question

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The discussion revolves around solving a Bernoulli problem involving a horizontal hose and a nozzle. The velocity of water in the hose is calculated using the equation A1V1 = A2V2, yielding a result of 8.61 m/s. However, the user struggles with calculating the pressure differential between the hose and the nozzle. They attempt to apply Bernoulli's equation but arrive at an incorrect pressure differential of 634.934 Pa. A suggestion is made to ensure the density (rho) is included in the calculations for accuracy.
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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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Did you multiply by rho?
 

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