Try the fastest way to create flashcards
Question

Determine the pressure exerted on a diver at 20 m below the free surface of the sea. Assume a barometric pressure of 101 kPa and a specific gravity of 1.03 for seawater.

Solution

Verified
Answered 2 years ago
Answered 2 years ago
Step 1
1 of 2

Given:

h=20mHeightpb=101kPaBarometric pressureSG=1.03Specific gravity of sea water\begin{aligned} h&=&20\:\text{m}\rightarrow\text{Height}\\ p_b&=&101\:\text{kPa}\rightarrow\text{Barometric pressure}\\ SG&=&1.03\rightarrow\text{Specific gravity of sea water} \end{aligned}

We assume density of water ρw=1000kgm3\rho_w=1000\:\frac{\text{kg}}{\text{m}^3}

Density for sea water is defined by specific gravity of sea water and density of water:

ρs=SGρw=1.031000kgm3=1030kgm3\begin{equation*} \rho_s=SG\cdot\rho_w=1.03\cdot1000\:\frac{\text{kg}}{\text{m}^3}=1030\:\frac{\text{kg}}{\text{m}^3} \end{equation*}

The pressure on distance h=20mh=20\:\text{m} to free surface of water is defined by biometric pressure and height hh.

p=pb+ρgh=101kPa+1030kgm39.81ms2kPa1000Pap=303kPa\begin{aligned} p&=&p_b+\rho\cdot g\cdot h=101\:\text{kPa}+1030\:\frac{\text{kg}}{\text{m}^3}\cdot9.81\:\frac{\text{m}}{\text{s}^2}\cdot\frac{\text{kPa}}{1000\text{Pa}}\\ p&=&\boxed{303\:\text{kPa}} \end{aligned}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Fluid Mechanics: Fundamentals and Applications 3rd Edition by John Cimbala, Yunus A. Cengel

Fluid Mechanics: Fundamentals and Applications

3rd EditionISBN: 9780073380322 (3 more)John Cimbala, Yunus A. Cengel
2,056 solutions
Fundamentals of Electric Circuits 6th Edition by Charles Alexander, Matthew Sadiku

Fundamentals of Electric Circuits

6th EditionISBN: 9780078028229 (2 more)Charles Alexander, Matthew Sadiku
2,120 solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4th Edition by Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (8 more)Randall D. Knight
3,508 solutions
Advanced Engineering Mathematics 10th Edition by Erwin Kreyszig

Advanced Engineering Mathematics

10th EditionISBN: 9780470458365 (5 more)Erwin Kreyszig
4,134 solutions

More related questions

1/4

1/7