Convert pound / minute to tonne / second

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

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{m i n u t e}) = x (\frac{t o n n e}{s e c o n d})

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{p o u n d}{m i n u t e}) = \frac{0.45359237}{60.0} (\frac{k i l o g r a m}{s e c o n d}) = \frac{0.45359237}{60.0} (\frac{k g}{s})

Right side: 1.0 (\frac{t o n n e}{s e c o n d}) = 1016.0469088 (\frac{k i l o g r a m}{s e c o n d}) = 1016.0469088 (\frac{k g}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{p o u n d}{m i n u t e}) = x (\frac{t o n n e}{s e c o n d})

Insert known values =>

1.0 \times \frac{0.45359237}{60.0} \times (\frac{k i l o g r a m}{s e c o n d}) = x \times 1016.0469088 \times (\frac{k i l o g r a m}{s e c o n d})

Or

1.0 \cdot \frac{0.45359237}{60.0} \cdot (\frac{k g}{s}) = x \cdot 1016.0469088 \cdot (\frac{k g}{s})

Cancel SI units

1.0 \times \frac{0.45359237}{60.0} \cdot (\frac{k g}{s}) = x \times 1016.0469088 \times (\frac{k g}{s})

Conversion Equation

\frac{0.45359237}{60.0} = x \times 1016.0469088

Switch sides

x \times 1016.0469088 = \frac{0.45359237}{60.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1016.0469088})

x \times 1016.0469088 \times \frac{1.0}{1016.0469088} = \frac{0.45359237}{60.0} \times \frac{1.0}{1016.0469088}

Cancel

x \times 1016.0469088 \times \frac{1.0}{1016.0469088} = \frac{0.45359237 \times 1.0}{60.0 \times 1016.0469088}

Simplify

x = \frac{0.45359237}{60.0 \times 1016.0469088}

Solve

x

x \approx 0.0000074405 \approx 7.4405 \times 10^{- 6}

Conversion Equation

1.0 (\frac{p o u n d}{m i n u t e}) \approx 7.4405 \times 10^{- 6} (\frac{t o n n e}{s e c o n d})

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