Convert kilogram / second to tonne / hour

Learn how to convert 1 kilogram / second to tonne / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{k i l o g r a m}{s e c o n d}) = x (\frac{t o n n e}{h o u r})

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{s e c o n d})

Left side: 1.0 (\frac{g r a m}{s e c o n d}) = 10^{- 3} (\frac{k i l o g r a m}{s e c o n d}) = 10^{- 3} (\frac{k g}{s})

Right side: 1.0 (\frac{t o n n e}{h o u r}) = \frac{1016.0469088}{3.6 \times 10^{3}} (\frac{k i l o g r a m}{s e c o n d}) = \frac{1016.0469088}{3.6 \times 10^{3}} (\frac{k g}{s})

Define the values of the selected prefixes

Left side: \frac{k i l o}{1.0} = \frac{k}{1.0} = \frac{10^{3}}{1.0}

Insert known values into the conversion equation to determine

x

1.0 (\frac{k i l o g r a m}{s e c o n d}) = x (\frac{t o n n e}{h o u r})

Insert known values =>

1.0 \times \frac{10^{3}}{1.0} \times 10^{- 3} \times (\frac{k i l o g r a m}{s e c o n d}) = x \times \frac{1016.0469088}{3.6 \times 10^{3}} \times (\frac{k i l o g r a m}{s e c o n d})

Or

1.0 \cdot \frac{10^{3}}{1.0} \times 10^{- 3} \cdot (\frac{k g}{s}) = x \cdot \frac{1016.0469088}{3.6 \times 10^{3}} \cdot (\frac{k g}{s})

Cancel SI units

1.0 \times \frac{10^{3}}{1.0} \times 10^{- 3} \cdot (\frac{k g}{s}) = x \times \frac{1016.0469088}{3.6 \times 10^{3}} \times (\frac{k g}{s})

Conversion Equation

10^{- 3} \times \frac{10^{3}}{1.0} = x \times \frac{1016.0469088}{3.6 \times 10^{3}}

Simplify

1.0 = x \times \frac{1016.0469088}{3.6 \times 10^{3}}

Switch sides

x \times \frac{1016.0469088}{3.6 \times 10^{3}} = 1.0

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1016.0469088})

x \times \frac{1016.0469088}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{1016.0469088} = 1.0 \times \frac{3.6 \times 10^{3}}{1016.0469088}

Cancel

x \times \frac{1016.0469088 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 1016.0469088} = 1.0 \times \frac{3.6 \times 10^{3}}{1016.0469088}

Simplify

x = \frac{3.6 \times 10^{3}}{1016.0469088}

Solve

x

x \approx 3.5431434994 \approx 3.5431

Conversion Equation

1.0 (\frac{k i l o g r a m}{s e c o n d}) \approx 3.5431 (\frac{t o n n e}{h o u r})

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