Convert pound-force / square foot to pascal

Learn how to convert 1 pound-force / square foot to pascal step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(\dfrac{pound-force}{square \text{ } foot}\right)={\color{rgb(20,165,174)} x}\left(pascal\right)\)

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

\(\text{Left side: 1.0 } \left(\dfrac{pound-force}{square \text{ } foot}\right) = {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}\left(Pa\right)}\)

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

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

\(1.0\left(\dfrac{pound-force}{square \text{ } foot}\right)={\color{rgb(20,165,174)} x}\left(pascal\right)\)

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

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)

\(\text{Conversion Equation}\)

\(\dfrac{4.4482216152605}{9.290304 \times 10^{-2}} = {\color{rgb(20,165,174)} x} \times 1.0\)

\(\text{Simplify}\)

\(\dfrac{4.4482216152605}{9.290304 \times 10^{-2}} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}\)

Rewrite equation

\(\dfrac{1.0}{10^{-2}}\text{ can be rewritten to }10^{2}\)

\(\text{Rewrite}\)

\({\color{rgb(20,165,174)} x} = \dfrac{10^{2} \times 4.4482216152605}{9.290304}\)

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

\({\color{rgb(20,165,174)} x}\approx47.88025898\approx47.8803\)