Bernouli equation with pump work input

[boileroo]

Homework Statement

Hey. I've posted a few questions around here lately, and really appreciate any help! thanks

Right, attached is an image showing a simple pump system.

pump inlet gauge pressure = Pi = -34.2 kPa
nozzle diameter = 5cm
rho = 1000kg/m³

Calculate the flow rate

2. The attempt at a solution

I know that this is to be solved using a form of bernoulli's equation: [P1/rho * V1²/2 + gz1] - [P2/rho * V2²/2 + gz2] = work/mass flow rate.

I know that the velocity in the tank can be declared = 0, and the pressure at the nozzle outlet = Patm.

Any pointers please!

 

[omoplata]

Do you have the Bernoulli's equation correct? According to the http://en.wikipedia.org/wiki/Bernoulli's_equation#Incompressible_flow_equation" it's
$$\frac{v^{2}}{2} + g z + \frac{p}{\rho} = constant$$

You can write down the equation for two points in the inlet pipe where you know the pressures. But the fluid velocity in each of those points would be the same assuming the fluid is incompressible.

I don't see why you need the outlet nozzle diameter. Is this only one part of a larger problem?