Convert pound / minute to gram / minute

Learn how to convert 1 pound / minute to gram / minute 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{g r a m}{m i n u t e})

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{0.5}{60.0} (\frac{k i l o g r a m}{s e c o n d}) = \frac{0.5}{60.0} (\frac{k g}{s})

Right side: 1.0 (\frac{g r a m}{m i n u t e}) = \frac{10^{- 3}}{60.0} (\frac{k i l o g r a m}{s e c o n d}) = \frac{10^{- 3}}{60.0} (\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{g r a m}{m i n u t e})

Insert known values =>

1.0 \times \frac{0.5}{60.0} \times (\frac{k i l o g r a m}{s e c o n d}) = x \times \frac{10^{- 3}}{60.0} \times (\frac{k i l o g r a m}{s e c o n d})

Or

1.0 \cdot \frac{0.5}{60.0} \cdot (\frac{k g}{s}) = x \cdot \frac{10^{- 3}}{60.0} \cdot (\frac{k g}{s})

Cancel SI units

1.0 \times \frac{0.5}{60.0} \cdot (\frac{k g}{s}) = x \times \frac{10^{- 3}}{60.0} \times (\frac{k g}{s})

Conversion Equation

\frac{0.5}{60.0} = x \times \frac{10^{- 3}}{60.0}

Cancel factors on both sides

Cancel factors

\frac{0.5}{60.0} = x \times \frac{10^{- 3}}{60.0}

Simplify

0.5 = x \times 10^{- 3}

Switch sides

x \times 10^{- 3} = 0.5

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 3}})

x \times 10^{- 3} \times \frac{1.0}{10^{- 3}} = 0.5 \times \frac{1.0}{10^{- 3}}

Cancel

x \times 10^{- 3} \times \frac{1.0}{10^{- 3}} = 0.5 \times \frac{1.0}{10^{- 3}}

Simplify

x = \frac{0.5}{10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = 10^{3} \times 0.5

Solve

x

x = 500 = 5 \times 10^{2}

Conversion Equation

1.0 (\frac{p o u n d}{m i n u t e}) = 5 \times 10^{2} (\frac{g r a m}{m i n u t e})

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