Calculating Pressure Difference in a Vertical Water Pipe

[jrzygrl]

Homework Statement

A vertical water pipe extends from the bottom to the top of the World Trade Center in the Big Apple (New York City), a distance of about 420 m. Calculate the difference in pressure in atm between the bottom and the top of the water pipe.

Homework Equations

p(y) = p - $$\rho$$gy

The Attempt at a Solution

$$\rho$$gy = (1 kg/$$m^{3}$$) (9.81m/$$s^{2}$$) (420m)
$$\rho$$gy = 4120.2 Pa
4120.2 Pa (1 atm / 101300 Pa) = .0407 atm

The answer above was wrong. Thanks for the help!

 

[Dick]

The density of water isn't 1kg/m^3. It's 1000kg/m^3!

 

[jrzygrl]

ohhh, that's what was wrong. thanks a lot!