Convert pound-force / square meter to poundal / square foot
Learn how to convert
1
pound-force / square meter to
poundal / square foot
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{pound-force}{square \text{ } meter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{poundal}{square \text{ } foot}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{pound-force}{square \text{ } meter}\right) = {\color{rgb(89,182,91)} 4.4482216152605\left(pascal\right)} = {\color{rgb(89,182,91)} 4.4482216152605\left(Pa\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{poundal}{square \text{ } foot}\right) = {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}\left(pascal\right)} = {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}\left(Pa\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{pound-force}{square \text{ } meter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{poundal}{square \text{ } foot}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 4.4482216152605} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 4.4482216152605} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 4.4482216152605} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)
\(\text{Conversion Equation}\)
\(4.4482216152605 = {\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{9.290304 \times 10^{-1}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{9.290304 \times 10^{-1}} = 4.4482216152605\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{9.290304 \times 10^{-1}}{1.38254954376}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{9.290304 \times 10^{-1}} \times \dfrac{9.290304 \times 10^{-1}}{1.38254954376} = 4.4482216152605 \times \dfrac{9.290304 \times 10^{-1}}{1.38254954376}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.38254954376}} \times {\color{rgb(99,194,222)} \cancel{9.290304}} \times {\color{rgb(166,218,227)} \cancel{10^{-1}}}}{{\color{rgb(99,194,222)} \cancel{9.290304}} \times {\color{rgb(166,218,227)} \cancel{10^{-1}}} \times {\color{rgb(255,204,153)} \cancel{1.38254954376}}} = 4.4482216152605 \times \dfrac{9.290304 \times 10^{-1}}{1.38254954376}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.4482216152605 \times 9.290304 \times 10^{-1}}{1.38254954376}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 2.98906692\approx2.9891\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{pound-force}{square \text{ } meter}\right)\approx{\color{rgb(20,165,174)} 2.9891}\left(\dfrac{poundal}{square \text{ } foot}\right)\)
