Calculate Volume Flow Rate: Hose Diam & Cliff Height

[sonutulsiani]

Homework Statement

To better fight fires in your seaside community, the local fire brigade has asked you to set up a pump system to draw seawater from the ocean to the top of a steep cliff adjacent to the water where most of the homes are.

1. If the cliff is 12.0 m high, and the pump is capable of producing a gauge pressure of 150 kPa, how much water (in L/s) can be pumped using a hose with a radius of 4.00 cm?

A. Iv = 40.4 L/s
B. Iv = 45.0 L/s
C. Iv = 32.8 L/s
D. Iv = 13.6 L/s

2. How would the volume flow rate change if the diameter of the hose were doubled?

A. Iv, new = ½ Iv, old
B. Iv, new = Iv, old
C. Iv, new = 2 Iv, old
D. Iv, new = 4 Iv, old

(Iv is volume flow rate)

Homework Equations

The Attempt at a Solution

I know Iv=pi r^2, what else?
I also know 2nd question will be equal but just want to make sure.

 

[Newrock]

Volume Flow Rate: Iv=Av
Bernoulli equation simplified: v = square root of: (Gauge Pressure - density of water*g*height)/(1/2 density)