determine the pressure in psi, 60 ft below the surface of the sea (given the SG of water is 1.022 and the barometer reading is 29.2 in Hg)
Given Find and solution

### Given:
1. **Depth below sea surface:** 60 ft
2. **Specific gravity of seawater (SG):** 1.022
3. **Barometer reading:** 29.2 in Hg (atmospheric pressure)

### Find:
The **pressure** at 60 ft below the surface of the sea in **psi** (pounds per square inch).

---

### Solution:

1. **Convert the barometer reading from in Hg to psi:**
   - 1 inch of mercury (in Hg) = 0.491 psi.
   - Atmospheric pressure \( P_{atm} \) = 29.2 in Hg.
   
   \[
   P_{atm} = 29.2 \, \text{in Hg} \times 0.491 \, \frac{\text{psi}}{\text{in Hg}} = 14.3372 \, \text{psi}
   \]

2. **Calculate the pressure due to the water column:**
   - The formula to calculate the pressure exerted by a fluid column is:

     \[
     P = \rho g h
     \]

   where:
   - \( \rho \) = density of seawater,
   - \( g \) = acceleration due to gravity (32.2 ft/s² in imperial units),
   - \( h \) = depth (60 ft).

   However, for simplicity, we use a standard formula to directly calculate pressure in **psi** for a given depth in water:

   \[
   P = 0.433 \times \text{SG} \times h
   \]

   where:
   - 0.433 is a constant used to convert depth in feet to pressure in psi for freshwater,
   - \( \text{SG} \) is the specific gravity of seawater,
   - \( h \) is the depth in feet.

   Now, substituting the values:

   \[
   P_{water} = 0.433 \times 1.022 \times 60
   \]

   \[
   P_{water} = 26.55276 \, \text{psi}
   \]

3. **Calculate the total pressure at 60 ft:**
   The total pressure at 60 ft below the sea surface is the sum of the atmospheric pressure and the pressure due to the water column.

   \[
   P_{total} = P_{atm} + P_{water}
   \]

   Substituting the values:

   \[
   P_{total} = 14.3372 \, \text{psi} + 26.55276 \, \text{psi}
   \]

   \[
   P_{total} = 40.88996 \, \text{psi}
   \]

### Final Answer:
The pressure 60 ft below the surface of the sea is approximately **40.89 psi**.

---

Do you want more details or have any questions?

### Related Questions:
1. How do temperature and salinity affect the specific gravity of seawater?
2. What is the relationship between depth and pressure in various fluids?
3. How does atmospheric pressure vary with altitude?
4. What would the pressure be at 100 ft below the sea surface?
5. How is barometric pressure measured in different units?

### Tip:
Remember, specific gravity (SG) is the ratio of the density of a substance to the density of water. This allows quick conversions when dealing with fluids like seawater!

Determine the pressure in psi, 60 ft below the surface of the sea (given the SG of water is 1.022 and the barometer reading is 29.2 in Hg).

Learn how to calculate the pressure 60 ft below the sea surface, taking into account specific gravity (SG) of seawater and barometer readings. This problem covers fluid mechanics, pressure formulas, and unit conversions. The final pressure is found to be approximately 40.89 psi.

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