Convert dyne to sthene

Learn how to convert 1 dyne to sthene step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(dyne\right)={\color{rgb(20,165,174)} x}\left(sthene\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(newton\right)\)
\(\text{Left side: 1.0 } \left(dyne\right) = {\color{rgb(89,182,91)} 10^{-5}\left(newton\right)} = {\color{rgb(89,182,91)} 10^{-5}\left(N\right)}\)
\(\text{Right side: 1.0 } \left(sthene\right) = {\color{rgb(125,164,120)} 10^{3}\left(newton\right)} = {\color{rgb(125,164,120)} 10^{3}\left(N\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(dyne\right)={\color{rgb(20,165,174)} x}\left(sthene\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-5}} \times {\color{rgb(89,182,91)} \left(newton\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{3}}} \times {\color{rgb(125,164,120)} \left(newton\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{-5}} \cdot {\color{rgb(89,182,91)} \left(N\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{3}} \cdot {\color{rgb(125,164,120)} \left(N\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-5}} \cdot {\color{rgb(89,182,91)} \cancel{\left(N\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{3}} \times {\color{rgb(125,164,120)} \cancel{\left(N\right)}}\)
\(\text{Conversion Equation}\)
\(10^{-5} = {\color{rgb(20,165,174)} x} \times 10^{3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{3} = 10^{-5}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{3} \times \dfrac{1.0}{10^{3}} = 10^{-5} \times \dfrac{1.0}{10^{3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{3}}}} = 10^{-5} \times \dfrac{1.0}{10^{3}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-5}}{10^{3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{-3} \times 10^{-5}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{-8}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10^{-8}\)
\(\text{Conversion Equation}\)
\(1.0\left(dyne\right) = {\color{rgb(20,165,174)} 10^{-8}}\left(sthene\right)\)

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