Convert gallon / minute to cubic inch / minute

Learn how to convert 1 gallon / minute to cubic inch / minute step by step.

Calculation Breakdown

Set up the equation

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

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

(\frac{c u b i c m e t e r}{s e c o n d})

Left side: 1.0 (\frac{g a l l o n}{m i n u t e}) = \frac{4.40488377086 \times 10^{- 3}}{60.0} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{4.40488377086 \times 10^{- 3}}{60.0} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{c u b i c i n c h}{m i n u t e}) = \frac{1.6387064 \times 10^{- 5}}{60.0} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{1.6387064 \times 10^{- 5}}{60.0} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{4.40488377086 \times 10^{- 3}}{60.0} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{1.6387064 \times 10^{- 5}}{60.0} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{4.40488377086 \times 10^{- 3}}{60.0} \cdot (\frac{m^{3}}{s}) = x \cdot \frac{1.6387064 \times 10^{- 5}}{60.0} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times \frac{4.40488377086 \times 10^{- 3}}{60.0} \cdot (\frac{m^{3}}{s}) = x \times \frac{1.6387064 \times 10^{- 5}}{60.0} \times (\frac{m^{3}}{s})

Conversion Equation

\frac{4.40488377086 \times 10^{- 3}}{60.0} = x \times \frac{1.6387064 \times 10^{- 5}}{60.0}

Cancel factors on both sides

Cancel factors

\frac{4.40488377086 \times 10^{- 3}}{60.0} = x \times \frac{1.6387064 \times {10^{- 5}}^{10^{- 2}}}{60.0}

Simplify

4.40488377086 = x \times 1.6387064 \times 10^{- 2}

Switch sides

x \times 1.6387064 \times 10^{- 2} = 4.40488377086

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6387064 \times 10^{- 2}})

x \times 1.6387064 \times 10^{- 2} \times \frac{1.0}{1.6387064 \times 10^{- 2}} = 4.40488377086 \times \frac{1.0}{1.6387064 \times 10^{- 2}}

Cancel

x \times 1.6387064 \times 10^{- 2} \times \frac{1.0}{1.6387064 \times 10^{- 2}} = 4.40488377086 \times \frac{1.0}{1.6387064 \times 10^{- 2}}

Simplify

x = \frac{4.40488377086}{1.6387064 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 4.40488377086}{1.6387064}

Solve

x

x = 268.8025 \approx 2.688 \times 10^{2}

Conversion Equation

1.0 (\frac{g a l l o n}{m i n u t e}) \approx 2.688 \times 10^{2} (\frac{c u b i c i n c h}{m i n u t e})

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