Convert tonne / minute to tonne / second

Learn how to convert 1 tonne / minute to tonne / second step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(\dfrac{tonne}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{tonne}{second}\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)\)

\(\text{Left side: 1.0 } \left(\dfrac{tonne}{minute}\right) = {\color{rgb(89,182,91)} \dfrac{907.18474}{60.0}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(89,182,91)} \dfrac{907.18474}{60.0}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)

\(\text{Right side: 1.0 } \left(\dfrac{tonne}{second}\right) = {\color{rgb(125,164,120)} 907.18474\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(125,164,120)} 907.18474\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)

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

\(1.0\left(\dfrac{tonne}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{tonne}{second}\right)\)

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

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{907.18474}{60.0}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 907.18474}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{907.18474}{60.0}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 907.18474} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{907.18474}{60.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 907.18474} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}}\)

\(\text{Conversion Equation}\)

\(\dfrac{907.18474}{60.0} = {\color{rgb(20,165,174)} x} \times 907.18474\)

Cancel factors on both sides

\(\text{Cancel factors}\)

\(\dfrac{{\color{rgb(255,204,153)} \cancel{907.18474}}}{60.0} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{907.18474}}\)

\(\text{Simplify}\)

\(\dfrac{1.0}{60.0} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{60.0}\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x}\approx0.0166666667\approx1.6667 \times 10^{-2}\)

\(\text{Conversion Equation}\)