Question

A scuba diver is swimming under water. For the first 30 minutes, the diver swim 10 m downward. The diver stays for 20 minutes to take pictures of the coral reef. After that, the diver swim 5 m upward (it takes 30 minutes) and stay there for another 30 minutes. Finally, it takes the diver 10 minutes to go up to the surface. Sketch the graph that shows a plot of the water pressure acting on the diver as a function of time!

Answer 1

Question #58065, Physics / Other

A scuba diver is swimming under water. For the first 30 minutes, the diver swim 10 m downward. The diver stays for 20 minutes to take pictures of the coral reef. After that, the diver swim 5 m upward (it takes 30 minutes) and stay there for another 30 minutes. Finally, it takes the diver 10 minutes to go up to the surface. Sketch the graph that shows a plot of the water pressure acting on the diver as a function of time!

Solution:

Initial pressure:

$$P _ {0} = P _ {A} = 1 0 1 3 2 5 \mathrm {P a}$$

Pressure on $10\mathrm{m}$ depth:

$$P = P _ {0} + \rho g h;$$ $$P _ {1 0} = 1 0 1 3 2 5 + 1 0 0 0 \times 9. 8 \times 1 0 = 1 9 9 3 2 5 \mathrm {P a}$$

Pressure on $5\mathrm{m}$ depth:

$$P _ {5} = 1 0 1 3 2 5 + 1 0 0 0 \times 9. 8 \times 5 = 1 5 0. 3 2 5 \mathrm {P a}$$

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