Convert ounce-force to gram-force
Learn how to convert
1
ounce-force to
gram-force
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(ounce-force\right)={\color{rgb(20,165,174)} x}\left(gram-force\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(newton\right)\)
\(\text{Left side: 1.0 } \left(ounce-force\right) = {\color{rgb(89,182,91)} 0.27801385095378\left(newton\right)} = {\color{rgb(89,182,91)} 0.27801385095378\left(N\right)}\)
\(\text{Right side: 1.0 } \left(gram-force\right) = {\color{rgb(125,164,120)} 9.80665 \times 10^{-3}\left(newton\right)} = {\color{rgb(125,164,120)} 9.80665 \times 10^{-3}\left(N\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ounce-force\right)={\color{rgb(20,165,174)} x}\left(gram-force\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.27801385095378} \times {\color{rgb(89,182,91)} \left(newton\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 9.80665 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left(newton\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.27801385095378} \cdot {\color{rgb(89,182,91)} \left(N\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 9.80665 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(N\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.27801385095378} \cdot {\color{rgb(89,182,91)} \cancel{\left(N\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 9.80665 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(N\right)}}\)
\(\text{Conversion Equation}\)
\(0.27801385095378 = {\color{rgb(20,165,174)} x} \times 9.80665 \times 10^{-3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 9.80665 \times 10^{-3} = 0.27801385095378\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{9.80665 \times 10^{-3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 9.80665 \times 10^{-3} \times \dfrac{1.0}{9.80665 \times 10^{-3}} = 0.27801385095378 \times \dfrac{1.0}{9.80665 \times 10^{-3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{9.80665}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{9.80665}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}}} = 0.27801385095378 \times \dfrac{1.0}{9.80665 \times 10^{-3}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.27801385095378}{9.80665 \times 10^{-3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 0.27801385095378}{9.80665}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx28.349523125\approx28.3495\)
\(\text{Conversion Equation}\)
\(1.0\left(ounce-force\right)\approx{\color{rgb(20,165,174)} 28.3495}\left(gram-force\right)\)
