Convert newton • meter to gram-force • foot

Learn how to convert 1 newton • meter to gram-force • foot step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(newton \times meter\right)={\color{rgb(20,165,174)} x}\left(gram-force \times foot\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(newton \times meter\right)\)
\(\text{Left side: 1.0 } \left(newton \times meter\right) = {\color{rgb(89,182,91)} 1.0\left(newton \times meter\right)} = {\color{rgb(89,182,91)} 1.0\left(N \cdot m\right)}\)
\(\text{Right side: 1.0 } \left(gram-force \times foot\right) = {\color{rgb(125,164,120)} 2.98906692 \times 10^{-3}\left(newton \times meter\right)} = {\color{rgb(125,164,120)} 2.98906692 \times 10^{-3}\left(N \cdot m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(newton \times meter\right)={\color{rgb(20,165,174)} x}\left(gram-force \times foot\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(newton \times meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.98906692 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left(newton \times meter\right)}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(N \cdot m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.98906692 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(N \cdot m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(N \cdot m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.98906692 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(N \cdot m\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 2.98906692 \times 10^{-3}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 2.98906692 \times 10^{-3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.98906692 \times 10^{-3} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.98906692 \times 10^{-3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.98906692 \times 10^{-3} \times \dfrac{1.0}{2.98906692 \times 10^{-3}} = 1.0 \times \dfrac{1.0}{2.98906692 \times 10^{-3}}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.98906692}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.98906692}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}}} = 1.0 \times \dfrac{1.0}{2.98906692 \times 10^{-3}}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{2.98906692 \times 10^{-3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3}}{2.98906692}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx334.55256331\approx3.3455 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(newton \times meter\right)\approx{\color{rgb(20,165,174)} 3.3455 \times 10^{2}}\left(gram-force \times foot\right)\)

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