Convert foot / hour to mile / second

Learn how to convert 1 foot / hour to mile / second step by step.

Calculation Breakdown

Set up the equation

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

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

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

Left side: 1.0 (\frac{f o o t}{h o u r}) = \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} (\frac{m e t e r}{s e c o n d}) = \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} (\frac{m}{s})

Right side: 1.0 (\frac{m i l e}{s e c o n d}) = 1609.344 (\frac{m e t e r}{s e c o n d}) = 1609.344 (\frac{m}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s e c o n d}) = x \times 1609.344 \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} \cdot (\frac{m}{s}) = x \cdot 1609.344 \cdot (\frac{m}{s})

Cancel SI units

1.0 \times \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} \cdot (\frac{m}{s}) = x \times 1609.344 \times (\frac{m}{s})

Conversion Equation

\frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} = x \times 1609.344

Switch sides

x \times 1609.344 = \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1609.344})

x \times 1609.344 \times \frac{1.0}{1609.344} = \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} \times \frac{1.0}{1609.344}

Cancel

x \times 1609.344 \times \frac{1.0}{1609.344} = \frac{3.048 \times 10^{- 1} \times 1.0}{3.6 \times 10^{3} \times 1609.344}

Simplify

x = \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3} \times 1609.344}

Rewrite equation

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

Rewrite

x = \frac{10^{- 3} \times 3.048 \times 10^{- 1}}{3.6 \times 1609.344}

Simplify

x = \frac{10^{- 4} \times 3.048}{3.6 \times 1609.344}

Solve

x

x \approx 0.0000000526 \approx 5.2609 \times 10^{- 8}

Conversion Equation

1.0 (\frac{f o o t}{h o u r}) \approx 5.2609 \times 10^{- 8} (\frac{m i l e}{s e c o n d})

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