Convert ton / second to tonne / minute
Learn how to convert
1
ton / second to
tonne / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{ton}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{tonne}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{ton}{second}\right) = {\color{rgb(89,182,91)} 10^{3}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(89,182,91)} 10^{3}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{tonne}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{1016.0469088}{60.0}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(125,164,120)} \dfrac{1016.0469088}{60.0}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{ton}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{tonne}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1016.0469088}{60.0}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1016.0469088}{60.0}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1016.0469088}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}}\)
\(\text{Conversion Equation}\)
\(10^{3} = {\color{rgb(20,165,174)} x} \times \dfrac{1016.0469088}{60.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1016.0469088}{60.0} = 10^{3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{60.0}{1016.0469088}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1016.0469088}{60.0} \times \dfrac{60.0}{1016.0469088} = 10^{3} \times \dfrac{60.0}{1016.0469088}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1016.0469088}} \times {\color{rgb(99,194,222)} \cancel{60.0}}}{{\color{rgb(99,194,222)} \cancel{60.0}} \times {\color{rgb(255,204,153)} \cancel{1016.0469088}}} = 10^{3} \times \dfrac{60.0}{1016.0469088}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 60.0}{1016.0469088}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx59.052391657\approx59.0524\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{ton}{second}\right)\approx{\color{rgb(20,165,174)} 59.0524}\left(\dfrac{tonne}{minute}\right)\)
