Convert pound-force • inch to poundal • foot
Learn how to convert
1
pound-force • inch to
poundal • foot
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(pound-force \times inch\right)={\color{rgb(20,165,174)} x}\left(poundal \times foot\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(newton \times meter\right)\)
\(\text{Left side: 1.0 } \left(pound-force \times inch\right) = {\color{rgb(89,182,91)} 0.112984829027617\left(newton \times meter\right)} = {\color{rgb(89,182,91)} 0.112984829027617\left(N \cdot m\right)}\)
\(\text{Right side: 1.0 } \left(poundal \times foot\right) = {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}\left(newton \times meter\right)} = {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}\left(N \cdot m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(pound-force \times inch\right)={\color{rgb(20,165,174)} x}\left(poundal \times foot\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.112984829027617} \times {\color{rgb(89,182,91)} \left(newton \times meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(newton \times meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.112984829027617} \cdot {\color{rgb(89,182,91)} \left(N \cdot m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(N \cdot m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.112984829027617} \cdot {\color{rgb(89,182,91)} \cancel{\left(N \cdot m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(N \cdot m\right)}}\)
\(\text{Conversion Equation}\)
\(0.112984829027617 = {\color{rgb(20,165,174)} x} \times 4.21401100938048 \times 10^{-2}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.21401100938048 \times 10^{-2} = 0.112984829027617\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.21401100938048 \times 10^{-2}}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.21401100938048 \times 10^{-2} \times \dfrac{1.0}{4.21401100938048 \times 10^{-2}} = 0.112984829027617 \times \dfrac{1.0}{4.21401100938048 \times 10^{-2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.21401100938048}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.21401100938048}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}} = 0.112984829027617 \times \dfrac{1.0}{4.21401100938048 \times 10^{-2}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.112984829027617}{4.21401100938048 \times 10^{-2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-2}}\text{ can be rewritten to }10^{2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{2} \times 0.112984829027617}{4.21401100938048}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx2.681170713\approx2.6812\)
\(\text{Conversion Equation}\)
\(1.0\left(pound-force \times inch\right)\approx{\color{rgb(20,165,174)} 2.6812}\left(poundal \times foot\right)\)
