Convert kilogram / second to tonne / second
Learn how to convert
1
kilogram / second to
tonne / second
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{tonne}{second}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{gram}{second}\right) = {\color{rgb(89,182,91)} 10^{-3}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(89,182,91)} 10^{-3}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{tonne}{second}\right) = {\color{rgb(125,164,120)} 1016.0469088\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(125,164,120)} 1016.0469088\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)
Define the values of the selected prefixes
\(\text{Left side: } \dfrac{kilo}{1.0} = \dfrac{k}{1.0} = {\color{rgb(250,175,0)} \dfrac{10^{3}}{1.0}}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{tonne}{second}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(250,175,0)} \dfrac{10^{3}}{1.0}} \times {\color{rgb(89,182,91)} 10^{-3}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1016.0469088}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(250,175,0)} \dfrac{10^{3}}{1.0}} \times {\color{rgb(89,182,91)} 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1016.0469088} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(250,175,0)} \dfrac{10^{3}}{1.0}} \times {\color{rgb(89,182,91)} 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1016.0469088} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{s}\right)}}\)
\(\text{Conversion Equation}\)
\(10^{-3} \times \dfrac{10^{3}}{1.0} = {\color{rgb(20,165,174)} x} \times 1016.0469088\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 1016.0469088\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1016.0469088 = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1016.0469088}\right)\)
\({\color{rgb(20,165,174)} x} \times 1016.0469088 \times \dfrac{1.0}{1016.0469088} = 1.0 \times \dfrac{1.0}{1016.0469088}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1016.0469088}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1016.0469088}}} = 1.0 \times \dfrac{1.0}{1016.0469088}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{1016.0469088}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0009842065\approx9.8421 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{second}\right)\approx{\color{rgb(20,165,174)} 9.8421 \times 10^{-4}}\left(\dfrac{tonne}{second}\right)\)
