Question

The Mariana Trench in the western Pacific Ocean includes the greatest known ocean depth at approximately 6.8 miles. The atmosphere exerts a pressure of 14.7 lbf/in.2 at the ocean surface. Modeling the ocean seawater as static and assuming constant local acceleration of gravity of 32.1 ft/s2 and constant seawater density of 64.2 lb/ft3 , determine the absolute pressure, in lbf/in.2 , at this depth

Answer 1

Answer:

P=16021.9psi

Explanation:

pressure is defined as the amount of force exerted on an area,

to find the absolute pressure at the bottom of the sea we must add the pressure due to the water which is given by the equation  ρgh, and add it with the atmospheric pressure

P=Patm+Pw

P=total presure at the bottom of the sea

Patm=  atmospheric pressure=14.7psi

Pw=pressure due the weight of water=ρgh

ρ=density=64.2 lb/ft3=2slug/ft3

g=gravity=32.1 ft/s2

h=depth=6.8miles=35904feets

Solving PW

Pw=(2)(32.1)(35904)=2305036.8Lbf/ft^2=160007.2lbf/in^2

using initial ecuation

p=Pw+Patm=160007.2+14.7

P=16021.9psi