Question

When you scuba dive, the added pressure due to the water varies directly with your depth. At 20 feet, the added

pressure is about 9 pounds per square inch (psi). If an amateur diver can safely stand an added pressure of 30 (psi)
how deep could he or she dive? A sunken submarine lies in 120 feet of water. How much added pressure would a
diver experience in going to the submarine?

Answer 1

An amateur diver could safely dive to a depth of approximately 66.67 feet.

A diver would experience an added pressure of approximately 266.67 psi when diving to the sunken submarine at a depth of 120 feet.

Explanation:

To determine how deep an amateur diver could safely dive, we need to find the depth at which the added pressure reaches the maximum limit of 30 psi.

Given that the added pressure varies directly with depth, we can set up a proportion to solve for the depth:

(20 feet / 9 psi) = (x feet / 30 psi)

Cross-multiplying and solving for x, we get:

9x = 20 * 30

x = (20 * 30) / 9

x ≈ 66.67 feet

Now, let's calculate the added pressure a diver would experience in going to a sunken submarine located at a depth of 120 feet.

Using the same proportion as before:

(20 feet / 9 psi) = (120 feet / y psi)

Cross-multiplying and solving for y, we get:

9y = 20 * 120

y = (20 * 120) / 9

y ≈ 266.67 psi