Convert (newton • meter) / hour to watt

Learn how to convert 1 (newton • meter) / hour to watt step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(\dfrac{newton \times meter}{hour}\right)={\color{rgb(20,165,174)} x}\left(watt\right)\)

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

\(\text{Left side: 1.0 } \left(\dfrac{newton \times meter}{hour}\right) = {\color{rgb(89,182,91)} \dfrac{10^{-7}}{3.6 \times 10^{3}}\left(watt\right)} = {\color{rgb(89,182,91)} \dfrac{10^{-7}}{3.6 \times 10^{3}}\left(W\right)}\)

\(\text{Right side: 1.0 } \left(watt\right) = {\color{rgb(125,164,120)} 1.0\left(watt\right)} = {\color{rgb(125,164,120)} 1.0\left(W\right)}\)

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

\(1.0\left(\dfrac{newton \times meter}{hour}\right)={\color{rgb(20,165,174)} x}\left(watt\right)\)

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

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{-7}}{3.6 \times 10^{3}}} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10^{-7}}{3.6 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{-7}}{3.6 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)

\(\text{Conversion Equation}\)

\(\dfrac{10^{-7}}{3.6 \times 10^{3}} = {\color{rgb(20,165,174)} x} \times 1.0\)

\(\text{Simplify}\)

\(\dfrac{10^{-7}}{3.6 \times 10^{3}} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = \dfrac{10^{-7}}{3.6 \times 10^{3}}\)

Rewrite equation

\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)

\(\text{Rewrite}\)

\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3} \times 10^{-7}}{3.6}\)

\(\text{Simplify}\)

\({\color{rgb(20,165,174)} x} = \dfrac{10^{-10}}{3.6}\)