Convert gram-force • meter to ounce-force • inch
Learn how to convert
1
gram-force • meter to
ounce-force • inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(gram-force \times meter\right)={\color{rgb(20,165,174)} x}\left(ounce-force \times inch\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(newton \times meter\right)\)
\(\text{Left side: 1.0 } \left(gram-force \times meter\right) = {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}\left(newton \times meter\right)} = {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}\left(N \cdot m\right)}\)
\(\text{Right side: 1.0 } \left(ounce-force \times inch\right) = {\color{rgb(125,164,120)} 7.06155181422604 \times 10^{-3}\left(newton \times meter\right)} = {\color{rgb(125,164,120)} 7.06155181422604 \times 10^{-3}\left(N \cdot m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(gram-force \times meter\right)={\color{rgb(20,165,174)} x}\left(ounce-force \times inch\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(newton \times meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7.06155181422604 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left(newton \times meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(N \cdot m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7.06155181422604 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(N \cdot m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(N \cdot m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7.06155181422604 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(N \cdot m\right)}}\)
\(\text{Conversion Equation}\)
\(9.80665 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 7.06155181422604 \times 10^{-3}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(9.80665 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}} = {\color{rgb(20,165,174)} x} \times 7.06155181422604 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}\)
\(\text{Simplify}\)
\(9.80665 = {\color{rgb(20,165,174)} x} \times 7.06155181422604\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 7.06155181422604 = 9.80665\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{7.06155181422604}\right)\)
\({\color{rgb(20,165,174)} x} \times 7.06155181422604 \times \dfrac{1.0}{7.06155181422604} = 9.80665 \times \dfrac{1.0}{7.06155181422604}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7.06155181422604}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7.06155181422604}}} = 9.80665 \times \dfrac{1.0}{7.06155181422604}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{9.80665}{7.06155181422604}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx1.3887386594\approx1.3887\)
\(\text{Conversion Equation}\)
\(1.0\left(gram-force \times meter\right)\approx{\color{rgb(20,165,174)} 1.3887}\left(ounce-force \times inch\right)\)
