Convert BTU / second to (newton • meter) / minute
Learn how to convert
1
BTU / second to
(newton • meter) / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{BTU}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(watt\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{BTU}{second}\right) = {\color{rgb(89,182,91)} 1055.05585262\left(watt\right)} = {\color{rgb(89,182,91)} 1055.05585262\left(W\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{newton \times meter}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}\left(watt\right)} = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}\left(W\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{BTU}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1055.05585262} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1055.05585262} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1055.05585262} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)
\(\text{Conversion Equation}\)
\(1055.05585262 = {\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{60.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{60.0} = 1055.05585262\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{60.0}{10^{-7}}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{60.0} \times \dfrac{60.0}{10^{-7}} = 1055.05585262 \times \dfrac{60.0}{10^{-7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{10^{-7}}} \times {\color{rgb(99,194,222)} \cancel{60.0}}}{{\color{rgb(99,194,222)} \cancel{60.0}} \times {\color{rgb(255,204,153)} \cancel{10^{-7}}}} = 1055.05585262 \times \dfrac{60.0}{10^{-7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1055.05585262 \times 60.0}{10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{7} \times 1055.05585262 \times 60.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 6.3303351157 \times 10^{11}\approx6.3303 \times 10^{11}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{BTU}{second}\right)\approx{\color{rgb(20,165,174)} 6.3303 \times 10^{11}}\left(\dfrac{newton \times meter}{minute}\right)\)
