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

To determine the pressure at a depth of 60 feet below the surface of the sea, we need to consider both the hydrostatic pressure due to the water column and the atmospheric pressure acting on the water surface. Here's the process:

### Given Data:
- Depth below the surface of the sea: \( h = 60 \, \text{ft} \)
- Specific Gravity (SG) of seawater: The typical SG for seawater is about 1.025 (if not explicitly stated).
- Barometer reading (atmospheric pressure): \( P_{\text{atm}} = 29.2 \, \text{inHg} \)

### Step 1: Calculate Hydrostatic Pressure

The formula for hydrostatic pressure due to a fluid is:
\[
P_{\text{water}} = \rho \cdot g \cdot h
\]
Where:
- \( \rho \) is the density of the fluid (we will use the SG to find this),
- \( g \) is the acceleration due to gravity, and
- \( h \) is the depth.

First, we'll convert the height from feet to inches for consistency:
\[
h = 60 \, \text{ft} \times 12 \, \text{in/ft} = 720 \, \text{in}
\]

The pressure contribution from water is given by:
\[
P_{\text{water}} = \text{SG} \times \text{Pressure due to 1 in of water} \times h
\]

The pressure due to 1 inch of water is approximately \( 0.0361 \, \text{psi/in} \). Therefore:
\[
P_{\text{water}} = 1.025 \times 0.0361 \, \text{psi/in} \times 720 \, \text{in}
\]
\[
P_{\text{water}} \approx 26.65 \, \text{psi}
\]

### Step 2: Convert Atmospheric Pressure

Next, we need to convert the barometer reading to psi. One inch of mercury (inHg) is approximately equal to 0.491 psi. Therefore:
\[
P_{\text{atm}} = 29.2 \, \text{inHg} \times 0.491 \, \text{psi/inHg}
\]
\[
P_{\text{atm}} \approx 14.33 \, \text{psi}
\]

### Step 3: Total Pressure

The total pressure at the depth of 60 feet is the sum of the hydrostatic pressure and the atmospheric pressure:
\[
P_{\text{total}} = P_{\text{water}} + P_{\text{atm}}
\]
\[
P_{\text{total}} = 26.65 \, \text{psi} + 14.33 \, \text{psi}
\]
\[
P_{\text{total}} \approx 40.98 \, \text{psi}
\]

### Final Answer:
The pressure at 60 feet below the surface of the sea is approximately \( 40.98 \, \text{psi} \).

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Do you want more details or have any questions on this? 

Here are 5 questions that could extend your understanding:
1. How would the pressure change if the depth increased to 100 feet?
2. How does the SG of seawater affect the hydrostatic pressure calculation?
3. What would happen to the total pressure if the atmospheric pressure dropped?
4. How is pressure measured in other units, like pascals or bars?
5. Can this method be applied to any liquid other than seawater?

**Tip:** Always ensure consistent units when performing pressure calculations, as converting between feet, inches, and meters can significantly affect accuracy.

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

Learn how to calculate the pressure at a depth of 60 feet below the sea surface, considering hydrostatic pressure and atmospheric pressure. This problem involves concepts like specific gravity, unit conversion, and barometer readings. Ideal for college-level students.

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