Convert gallon / second to cubic yard / hour

Learn how to convert 1 gallon / second to cubic yard / hour step by step.

Calculation Breakdown

Set up the equation

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

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}{s e c o n d}) = 3.785411784 \times 10^{- 3} (\frac{c u b i c m e t e r}{s e c o n d}) = 3.785411784 \times 10^{- 3} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{c u b i c y a r d}{h o u r}) = \frac{0.764554857984}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{0.764554857984}{3.6 \times 10^{3}} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 3.785411784 \times 10^{- 3} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{0.764554857984}{3.6 \times 10^{3}} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 3.785411784 \times 10^{- 3} \cdot (\frac{m^{3}}{s}) = x \cdot \frac{0.764554857984}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 3.785411784 \times 10^{- 3} \cdot (\frac{m^{3}}{s}) = x \times \frac{0.764554857984}{3.6 \times 10^{3}} \times (\frac{m^{3}}{s})

Conversion Equation

3.785411784 \times 10^{- 3} = x \times \frac{0.764554857984}{3.6 \times 10^{3}}

Switch sides

x \times \frac{0.764554857984}{3.6 \times 10^{3}} = 3.785411784 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{0.764554857984})

x \times \frac{0.764554857984}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{0.764554857984} = 3.785411784 \times 10^{- 3} \times \frac{3.6 \times 10^{3}}{0.764554857984}

Cancel

x \times \frac{0.764554857984 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 0.764554857984} = 3.785411784 \times 10^{- 3} \times \frac{3.6 \times 10^{3}}{0.764554857984}

Simplify

x = \frac{3.785411784 \times 3.6}{0.764554857984}

Solve

x

x \approx 17.824074074 \approx 17.8241

Conversion Equation

1.0 (\frac{g a l l o n}{s e c o n d}) \approx 17.8241 (\frac{c u b i c y a r d}{h o u r})

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