- #1

- 3

- 0

## Homework Statement

An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is 1cm in diameter and is located 2.00 m below the wide section. What is the pressure of the fluid in the narrow section (density of the fluid is 1,000 kg/m3)?

diameter1= 2cm

P1= 200kPa

v1= 4m/s

diameter2=1cm

P2=?

v1=?

height= 2

## Homework Equations

Continuity

A1v1=A2v2

Bernoullis equation

.5dv1^2+dgy1+P1= .5dv2^2+dgy2+P2

where d is density, g is gravity, and v is velocity

## The Attempt at a Solution

Ugh ive been on this for a long time.

So i found the velocity of V2 by using the continuity equation. I switched all my units to cm then i converted it back to m.

Then i plugged in everything into bernoullis equation and solved for pressure2. this is what i put in.

.5(1000)4^s + 1000(9.8)2 + 200000= .5(1000)16^2 + P2

I came up with an answer but its not one of the mutiple choices. Please put me in the right direction, my last 3 questions are similar and i have a feeling im doing something totaly wrong. Im so tired.. please help, thanx.