Convert gram-force to grave-force

Learn how to convert 1 gram-force to grave-force step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(gram-force\right)={\color{rgb(20,165,174)} x}\left(grave-force\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(newton\right)\)

\(\text{Left side: 1.0 } \left(gram-force\right) = {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}\left(newton\right)} = {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}\left(N\right)}\)

\(\text{Right side: 1.0 } \left(grave-force\right) = {\color{rgb(125,164,120)} 9.80665\left(newton\right)} = {\color{rgb(125,164,120)} 9.80665\left(N\right)}\)

Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)

\(1.0\left(gram-force\right)={\color{rgb(20,165,174)} x}\left(grave-force\right)\)

\(\text{Insert known values } =>\)

\(1.0 \times {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(newton\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 9.80665}} \times {\color{rgb(125,164,120)} \left(newton\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(N\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 9.80665} \cdot {\color{rgb(125,164,120)} \left(N\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(N\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 9.80665} \times {\color{rgb(125,164,120)} \cancel{\left(N\right)}}\)

\(\text{Conversion Equation}\)

\(9.80665 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 9.80665\)

Cancel factors on both sides

\(\text{Cancel factors}\)

\({\color{rgb(255,204,153)} \cancel{9.80665}} \times 10^{-3} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{9.80665}}\)

\(\text{Simplify}\)

\(10^{-3} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = 10^{-3}\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x} = 10^{-3}\)

\(\text{Conversion Equation}\)