Simple Static Pressure problem, with units

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SUMMARY

The discussion focuses on solving a static pressure problem involving a bathtub filled with water to a depth of 20 inches. The user applies the formula P = pgh, where P is pressure, p is density, g is acceleration due to gravity, and h is height. The user calculates gauge pressure as 104.11 slug/s² but struggles with converting this result into psi (pounds per square inch) and psig (gauge pressure). The correct conversion process and final values for both absolute and gauge pressure are essential to complete the problem.

PREREQUISITES
  • Understanding of fluid mechanics principles, specifically static pressure.
  • Familiarity with unit conversions, particularly between slugs, feet, and psi.
  • Knowledge of the formula P = pgh for calculating pressure in fluids.
  • Basic skills in dimensional analysis for unit conversion.
NEXT STEPS
  • Research unit conversion techniques between slug/ft² and psi.
  • Learn about the relationship between absolute pressure (psia) and gauge pressure (psig).
  • Study fluid mechanics concepts related to hydrostatic pressure.
  • Explore examples of static pressure calculations in various contexts.
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics, and anyone needing assistance with pressure calculations in practical applications.

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Homework Statement


Hi I'm having trouble solving this physics problem if anyone can help it would be greatly appreciated !

Static pressure problem: A bathtub contains water to a depth of 20 inches. Determine the pressure at the bottom of the bathtub in both [psia] and [psig] (a being absolute pressure and g being gauge pressure)


Homework Equations


im using P=pgh


The Attempt at a Solution


what I've tried doing was to find gauge pressure first: P=pgh=(1.94slug/ft^3)(32.2ft/s^2)(1.67ft). I got the 1.67 feet from converting 20 inches to feet. the answer i get is 104.11slug/s^2 but they want it in psi or lb/in^2 and i am having trouble converting these units =[
 
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