Convert ounce / square inch to pascal

Learn how to convert 1 ounce / square inch to pascal step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(\dfrac{ounce}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(pascal\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)

\(\text{Left side: 1.0 } \left(\dfrac{ounce}{square \text{ } inch}\right) = {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}\left(Pa\right)}\)

\(\text{Right side: 1.0 } \left(pascal\right) = {\color{rgb(125,164,120)} 1.0\left(pascal\right)} = {\color{rgb(125,164,120)} 1.0\left(Pa\right)}\)

Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)

\(1.0\left(\dfrac{ounce}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(pascal\right)\)

\(\text{Insert known values } =>\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)

\(\text{Conversion Equation}\)

\(\dfrac{2.78013850953781}{6.4516 \times 10^{-3}} = {\color{rgb(20,165,174)} x} \times 1.0\)

\(\text{Simplify}\)

\(\dfrac{2.78013850953781}{6.4516 \times 10^{-3}} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}\)

Rewrite equation

\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)

\(\text{Rewrite}\)

\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 2.78013850953781}{6.4516}\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x}\approx430.92233082\approx4.3092 \times 10^{2}\)