Convert gill / second to cubic foot / minute

Learn how to convert 1 gill / second to cubic foot / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g i l l}{s e c o n d}) = x (\frac{c u b i c f o o t}{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 i l l}{s e c o n d}) = 1.420653125 \times 10^{- 4} (\frac{c u b i c m e t e r}{s e c o n d}) = 1.420653125 \times 10^{- 4} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{c u b i c f o o t}{m i n u t e}) = \frac{2.8316846592 \times 10^{- 2}}{60.0} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{2.8316846592 \times 10^{- 2}}{60.0} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.420653125 \times 10^{- 4} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{2.8316846592 \times 10^{- 2}}{60.0} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 1.420653125 \times 10^{- 4} \cdot (\frac{m^{3}}{s}) = x \cdot \frac{2.8316846592 \times 10^{- 2}}{60.0} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 1.420653125 \times 10^{- 4} \cdot (\frac{m^{3}}{s}) = x \times \frac{2.8316846592 \times 10^{- 2}}{60.0} \times (\frac{m^{3}}{s})

Conversion Equation

1.420653125 \times 10^{- 4} = x \times \frac{2.8316846592 \times 10^{- 2}}{60.0}

Cancel factors on both sides

Cancel factors

1.420653125 \times {10^{- 4}}^{10^{- 2}} = x \times \frac{2.8316846592 \times 10^{- 2}}{60.0}

Simplify

1.420653125 \times 10^{- 2} = x \times \frac{2.8316846592}{60.0}

Switch sides

x \times \frac{2.8316846592}{60.0} = 1.420653125 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{60.0}{2.8316846592})

x \times \frac{2.8316846592}{60.0} \times \frac{60.0}{2.8316846592} = 1.420653125 \times 10^{- 2} \times \frac{60.0}{2.8316846592}

Cancel

x \times \frac{2.8316846592 \times 60.0}{60.0 \times 2.8316846592} = 1.420653125 \times 10^{- 2} \times \frac{60.0}{2.8316846592}

Simplify

x = \frac{1.420653125 \times 10^{- 2} \times 60.0}{2.8316846592}

Solve

x

x \approx 0.3010193498 \approx 3.0102 \times 10^{- 1}

Conversion Equation

1.0 (\frac{g i l l}{s e c o n d}) \approx 3.0102 \times 10^{- 1} (\frac{c u b i c f o o t}{m i n u t e})

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