Convert calorie / minute to (newton • meter) / hour
Learn how to convert
1
calorie / minute to
(newton • meter) / hour
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{calorie}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{hour}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(watt\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{calorie}{minute}\right) = {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}\left(watt\right)} = {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}\left(W\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{newton \times meter}{hour}\right) = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}\left(watt\right)} = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}\left(W\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{calorie}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{newton \times meter}{hour}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{10^{-7}}{3.6 \times 10^{3}}} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{4.184}{60.0} = {\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{3.6 \times 10^{3}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{3.6 \times 10^{3}} = \dfrac{4.184}{60.0}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{3.6 \times 10^{3}}{10^{-7}}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{3.6 \times 10^{3}} \times \dfrac{3.6 \times 10^{3}}{10^{-7}} = \dfrac{4.184}{60.0} \times \dfrac{3.6 \times 10^{3}}{10^{-7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{10^{-7}}} \times {\color{rgb(99,194,222)} \cancel{3.6}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}}}{{\color{rgb(99,194,222)} \cancel{3.6}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}} \times {\color{rgb(255,204,153)} \cancel{10^{-7}}}} = \dfrac{4.184 \times 3.6 \times 10^{3}}{60.0 \times 10^{-7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.184 \times 3.6 \times 10^{3}}{60.0 \times 10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{7} \times 4.184 \times 3.6 \times 10^{3}}{60.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{10} \times 4.184 \times 3.6}{60.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 2510400000 = 2.5104 \times 10^{9}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{calorie}{minute}\right) = {\color{rgb(20,165,174)} 2.5104 \times 10^{9}}\left(\dfrac{newton \times meter}{hour}\right)\)
