Convert erg / minute to (newton • meter) / minute
Learn how to convert
1
erg / minute to
(newton • meter) / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{erg}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(watt\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{erg}{minute}\right) = {\color{rgb(89,182,91)} \dfrac{10^{-7}}{60.0}\left(watt\right)} = {\color{rgb(89,182,91)} \dfrac{10^{-7}}{60.0}\left(W\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{newton \times meter}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}\left(watt\right)} = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}\left(W\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{erg}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{-7}}{60.0}} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10^{-7}}{60.0}} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{-7}}{60.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{10^{-7}}{60.0} = {\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{60.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{10^{-7}}}}{{\color{rgb(99,194,222)} \cancel{60.0}}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{10^{-7}}}}{{\color{rgb(99,194,222)} \cancel{60.0}}}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 1.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{erg}{minute}\right) = {\color{rgb(20,165,174)} 1}\left(\dfrac{newton \times meter}{minute}\right)\)
