Convert ounce / square inch to pound / square meter
Learn how to convert
1
ounce / square inch to
pound / square meter
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{ounce}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{square \text{ } meter}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{ounce}{square \text{ } inch}\right) = {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}\left(Pa\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{pound}{square \text{ } meter}\right) = {\color{rgb(125,164,120)} 4.4482216152605\left(pascal\right)} = {\color{rgb(125,164,120)} 4.4482216152605\left(Pa\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{ounce}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{square \text{ } meter}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.4482216152605}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.4482216152605} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.4482216152605} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{2.78013850953781}{6.4516 \times 10^{-3}} = {\color{rgb(20,165,174)} x} \times 4.4482216152605\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.4482216152605 = \dfrac{2.78013850953781}{6.4516 \times 10^{-3}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.4482216152605}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.4482216152605 \times \dfrac{1.0}{4.4482216152605} = \dfrac{2.78013850953781}{6.4516 \times 10^{-3}} \times \dfrac{1.0}{4.4482216152605}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.4482216152605}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.4482216152605}}} = \dfrac{2.78013850953781 \times 1.0}{6.4516 \times 10^{-3} \times 4.4482216152605}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.78013850953781}{6.4516 \times 10^{-3} \times 4.4482216152605}\)
Rewrite equation
\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 2.78013850953781}{6.4516 \times 4.4482216152605}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx96.87519375\approx96.8752\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{ounce}{square \text{ } inch}\right)\approx{\color{rgb(20,165,174)} 96.8752}\left(\dfrac{pound}{square \text{ } meter}\right)\)
