Problem 02 - Variation of Pressure | Fluid Mechanics and Hydraulics Review at MATHalino

Problem
Determine the pressure on the face of a dam at a point 12 m below the water surface, in (a) kilo Pascal gauge; (b) kilogram per square meter gauge; (c) kilo Pascal absolute; (d) pounds per square foot gauge; (e) pounds per square inch gauge; and (e) pounds per square inch absolute.

Solution

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$p_{gauge} = \gamma h$
$p_{absolute} = p_{atmosphere} + \gamma h$

kilo Pascal gauge
$p = 9.81(12)$
$p = 117.72 \, \text{kPa}$
kilogram per square meter gauge
$p = 1000(12)$
$p = 12\,000 \, \text{kg/m}^2$
kilo Pascal absolute
$p = 100 + 9.81(12)$
$p = 217.72 \, \text{kPa}$
pounds per square foot gauge
$p = 62.4 \, \dfrac{\text{lb}}{\text{ft}^3}(12 \, \text{m}) \left( 3.281 \, \dfrac{\text{ft}}{\text{m}} \right)$
$p = 2\,456.81 \, \text{lb/ft}^2$
pounds per square inch gauge
$p = 62.4 \, \dfrac{\text{lb}}{\text{ft}^3} \left( \dfrac{1 \, \text{ft}}{12 \, \text{in}}\right)^3 (12 \, \text{m}) \left( 3.281 \, \dfrac{\text{ft}}{\text{m}} \right)\left(12 \, \dfrac{\text{in}}{\text{ft}} \right)$
$p = 17.06 \, \text{psi}$
pounds per square inch absolute
$p = 14.7 + 17.06$
$p = 31.76 \, \text{psi}$

Problem 02 - Variation of Pressure

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