Water pressure varies linearly with the depth of submersion. The pressure at the surface is 14.7 pound per square inch. Given that a diver experiences approximately 58.8 pounds per square inch of pressure at a depth of 100 feet, what pressure will a submarine encounter when it is a mile below the surface of the atlantic ocean?
+129850 We can create the points (depth , pressure) = ( 0 , 14.7) and ( 100 , 58.8)
Take the slope between these points
[ 58.8 - 14.7 ] / [ 100 - 0 ] = 44.1 / 100 = .441
Using the point ( 0 ,14.7)....the equation for pressure, p, is
p = .441d + 14.7
1 mile = 5280 ft = d
p = .441 (5280) + 14.7 = 2343.18 lbs / in^2
+137 OOPS i didnt see this solution when i posted mine! great they are the same though :)
+137 We have P = k(14,7) where P = pressure and k = the rate
at 0 feet is 14.7 lb
calculate, the pressure increases at a rate of 0.441 psi for each foot you descend.
mile is 5280 feet
so 14.7 + 5280(0.441) = ~2343.2 psi
