Convert calorie / minute to erg / minute
Learn how to convert
1
calorie / minute to
erg / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{calorie}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{erg}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(watt\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{calorie}{minute}\right) = {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}\left(watt\right)} = {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}\left(W\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{erg}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}\left(watt\right)} = {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}\left(W\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{calorie}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{erg}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.184}{60.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{10^{-7}}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{4.184}{60.0} = {\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{60.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{4.184}{{\color{rgb(255,204,153)} \cancel{60.0}}} = {\color{rgb(20,165,174)} x} \times \dfrac{10^{-7}}{{\color{rgb(255,204,153)} \cancel{60.0}}}\)
\(\text{Simplify}\)
\(4.184 = {\color{rgb(20,165,174)} x} \times 10^{-7}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-7} = 4.184\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-7}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-7} \times \dfrac{1.0}{10^{-7}} = 4.184 \times \dfrac{1.0}{10^{-7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-7}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-7}}}} = 4.184 \times \dfrac{1.0}{10^{-7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.184}{10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{7} \times 4.184\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 41840000 = 4.184 \times 10^{7}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{calorie}{minute}\right) = {\color{rgb(20,165,174)} 4.184 \times 10^{7}}\left(\dfrac{erg}{minute}\right)\)
