Physics Question

Question

Find the gauge pressure (in psi) at the bottom of a freshwater swimming pool that is 18.7 ft deep.

Answer 1

Hello Robert! The formula for pressure in Pascals ( P ) = ( ro )( g )( h ). Let's see where this comes from.

Pressure is defined at Force per unit Area ( F / A ). If we know the density of water, we will have it in units of ( mass / V ). If you multiply ( m / V )( h ), where h = length, you'll be left with units of ( m / A ), where A = Area. Recall that Pressure ( P ) = Force per unit Area, and Force = ( m )( g ). Therefore ( m / A )( g ) = ( F / A ) = the pressure you're looking for.

Be sure to convert Area and Height into the same metric units if it hasn't already been done for you.

Good luck!