Convert gram-force • inch to newton • meter
Learn how to convert
1
gram-force • inch to
newton • meter
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(gram-force \times inch\right)={\color{rgb(20,165,174)} x}\left(newton \times meter\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(newton \times meter\right)\)
\(\text{Left side: 1.0 } \left(gram-force \times inch\right) = {\color{rgb(89,182,91)} 2.4908891 \times 10^{-4}\left(newton \times meter\right)} = {\color{rgb(89,182,91)} 2.4908891 \times 10^{-4}\left(N \cdot m\right)}\)
\(\text{Right side: 1.0 } \left(newton \times meter\right) = {\color{rgb(125,164,120)} 1.0\left(newton \times meter\right)} = {\color{rgb(125,164,120)} 1.0\left(N \cdot m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(gram-force \times inch\right)={\color{rgb(20,165,174)} x}\left(newton \times meter\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.4908891 \times 10^{-4}} \times {\color{rgb(89,182,91)} \left(newton \times meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(newton \times meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.4908891 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \left(N \cdot m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(N \cdot m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.4908891 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \cancel{\left(N \cdot m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(N \cdot m\right)}}\)
\(\text{Conversion Equation}\)
\(2.4908891 \times 10^{-4} = {\color{rgb(20,165,174)} x} \times 1.0\)
\(\text{Simplify}\)
\(2.4908891 \times 10^{-4} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 2.4908891 \times 10^{-4}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0002490889\approx2.4909 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(gram-force \times inch\right)\approx{\color{rgb(20,165,174)} 2.4909 \times 10^{-4}}\left(newton \times meter\right)\)
