Convert gram / square inch to poundal / square inch
Learn how to convert
1
gram / square inch to
poundal / square inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{gram}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{poundal}{square \text{ } inch}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{gram}{square \text{ } inch}\right) = {\color{rgb(89,182,91)} \dfrac{9.80665}{6.4516 \times 10^{-1}}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{9.80665}{6.4516 \times 10^{-1}}\left(Pa\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{poundal}{square \text{ } inch}\right) = {\color{rgb(125,164,120)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}\left(pascal\right)} = {\color{rgb(125,164,120)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}\left(Pa\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{gram}{square \text{ } inch}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{poundal}{square \text{ } inch}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{9.80665}{6.4516 \times 10^{-1}}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{9.80665}{6.4516 \times 10^{-1}}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{9.80665}{6.4516 \times 10^{-1}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.38254954376}{6.4516 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{9.80665}{6.4516 \times 10^{-1}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{6.4516 \times 10^{-3}}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{9.80665}{{\color{rgb(255,204,153)} \cancel{6.4516}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{{\color{rgb(255,204,153)} \cancel{6.4516}} \times {\color{rgb(99,194,222)} \cancelto{10^{-2}}{10^{-3}}}}\)
\(\text{Simplify}\)
\(9.80665 = {\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{10^{-2}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{10^{-2}} = 9.80665\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{10^{-2}}{1.38254954376}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.38254954376}{10^{-2}} \times \dfrac{10^{-2}}{1.38254954376} = 9.80665 \times \dfrac{10^{-2}}{1.38254954376}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.38254954376}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}}{{\color{rgb(99,194,222)} \cancel{10^{-2}}} \times {\color{rgb(255,204,153)} \cancel{1.38254954376}}} = 9.80665 \times \dfrac{10^{-2}}{1.38254954376}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{9.80665 \times 10^{-2}}{1.38254954376}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0709316353\approx7.0932 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{gram}{square \text{ } inch}\right)\approx{\color{rgb(20,165,174)} 7.0932 \times 10^{-2}}\left(\dfrac{poundal}{square \text{ } inch}\right)\)
