The image illustrates the relationship between
water column height and
pressure in pounds per square inch (PSI). It shows how pressure increases with the height of a water column, based on the principle that
hydrostatic pressure depends on the height of the fluid.
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🔍 Key Concept:
1 PSI = 2.31 feet of water column
Or equivalently:
>
1 foot (12 inches) of water exerts 0.433 PSI
This is because:
- Water weighs approximately
62.4 pounds per cubic foot
- So, a column of water 1 foot high and 1 square inch in cross-section weighs
0.433 pounds, which creates
0.433 PSI of pressure at the base.
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📊 Breakdown of the Diagram:
#### 1.
First Column (12" height):
- Height: 12 inches (1 foot)
- Pressure:
0.433 PSI
- This matches the known fact:
> 12" of water → 0.433 PSI
✔ Correct.
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#### 2.
Second Column (24" height):
- Height: 24 inches = 2 feet
- Since pressure is directly proportional to height:
- 12" → 0.433 PSI
- 24" → 2 × 0.433 =
0.866 PSI
✔️ The gauge shows
0.866 PSI — this is correct.
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#### 3.
Third Column (36" height):
- Height: 36 inches = 3 feet
- Pressure = 3 × 0.433 =
1.299 PSI ≈ 1.30 PSI
✔️ The gauge shows
1.30 PSI — this is also correct.
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✔ Final Answer:
The diagram correctly demonstrates that:
>
Pressure (PSI) = (Height in inches) × (0.433 PSI per 12 inches)
So:
- 12" → 0.433 PSI
- 24" → 0.866 PSI
- 36" → 1.30 PSI
All values are accurate.
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💡 Summary:
This visual teaches that:
-
Each additional 12 inches of water adds 0.433 PSI
- Pressure increases linearly with depth
- This is critical in plumbing, hydraulics, and HVAC systems for calculating static pressure
✔ The solution is correct.
Parent Tip: Review the logic above to help your child master the concept of plumbing math worksheet.