Convert volt • ampere to (newton • meter) / hour
Learn how to convert
1
volt • ampere to
(newton • meter) / hour
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(volt \times ampere\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{hour}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(watt\right)\)
\(\text{Left side: 1.0 } \left(volt \times ampere\right) = {\color{rgb(89,182,91)} 0.8\left(watt\right)} = {\color{rgb(89,182,91)} 0.8\left(W\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{newton \times meter}{hour}\right) = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}\left(watt\right)} = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}\left(W\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(volt \times ampere\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{hour}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.8} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.8} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.8} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)
\(\text{Conversion Equation}\)
\(0.8 = {\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{3.6 \times 10^{3}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{3.6 \times 10^{3}} = 0.8\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{3.6 \times 10^{3}}{10^{-7}}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{3.6 \times 10^{3}} \times \dfrac{3.6 \times 10^{3}}{10^{-7}} = 0.8 \times \dfrac{3.6 \times 10^{3}}{10^{-7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{10^{-7}}} \times {\color{rgb(99,194,222)} \cancel{3.6}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}}}{{\color{rgb(99,194,222)} \cancel{3.6}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}} \times {\color{rgb(255,204,153)} \cancel{10^{-7}}}} = 0.8 \times \dfrac{3.6 \times 10^{3}}{10^{-7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.8 \times 3.6 \times 10^{3}}{10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{7} \times 0.8 \times 3.6 \times 10^{3}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{10} \times 0.8 \times 3.6\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 28800000000 = 2.88 \times 10^{10}\)
\(\text{Conversion Equation}\)
\(1.0\left(volt \times ampere\right) = {\color{rgb(20,165,174)} 2.88 \times 10^{10}}\left(\dfrac{newton \times meter}{hour}\right)\)
