Convert poundal / square inch to poundal / square foot
Learn how to convert
1
poundal / square inch to
poundal / square foot
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{poundal}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{poundal}{square \text{ } foot}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{poundal}{square \text{ } inch}\right) = {\color{rgb(89,182,91)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}\left(Pa\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{poundal}{square \text{ } foot}\right) = {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}\left(pascal\right)} = {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}\left(Pa\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{poundal}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{poundal}{square \text{ } foot}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.38254954376}{9.290304 \times 10^{-1}}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.38254954376}{6.4516 \times 10^{-3}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{9.290304 \times 10^{-1}}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{1.38254954376}}}{6.4516 \times {\color{rgb(99,194,222)} \cancelto{10^{-2}}{10^{-3}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.38254954376}}}{9.290304 \times {\color{rgb(99,194,222)} \cancel{10^{-1}}}}\)
\(\text{Simplify}\)
\(\dfrac{1.0}{6.4516 \times 10^{-2}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{9.290304}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{9.290304} = \dfrac{1.0}{6.4516 \times 10^{-2}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{9.290304}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{9.290304} \times \dfrac{9.290304}{1.0} = \dfrac{1.0}{6.4516 \times 10^{-2}} \times \dfrac{9.290304}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{9.290304}}}{{\color{rgb(99,194,222)} \cancel{9.290304}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times 9.290304}{6.4516 \times 10^{-2} \times {\color{rgb(255,204,153)} \cancel{1.0}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{9.290304}{6.4516 \times 10^{-2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-2}}\text{ can be rewritten to }10^{2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{2} \times 9.290304}{6.4516}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 144 = 1.44 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{poundal}{square \text{ } inch}\right) = {\color{rgb(20,165,174)} 1.44 \times 10^{2}}\left(\dfrac{poundal}{square \text{ } foot}\right)\)
