Convert mile / square hour to foot / square second

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

Calculation Breakdown

Set up the equation

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

Left side: 1.0 (\frac{m i l e}{s q u a r e h o u r}) = \frac{1609.344}{1.296 \times 10^{7}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{1609.344}{1.296 \times 10^{7}} (\frac{m}{s^{2}})

Right side: 1.0 (\frac{f o o t}{s q u a r e s e c o n d}) = 0.3048 (\frac{m e t e r}{s q u a r e s e c o n d}) = 0.3048 (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1609.344}{1.296 \times 10^{7}} \times (\frac{m e t e r}{s q u a r e s e c o n d}) = x \times 0.3048 \times (\frac{m e t e r}{s q u a r e s e c o n d})

Or

1.0 \cdot \frac{1609.344}{1.296 \times 10^{7}} \cdot (\frac{m}{s^{2}}) = x \cdot 0.3048 \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times \frac{1609.344}{1.296 \times 10^{7}} \cdot (\frac{m}{s^{2}}) = x \times 0.3048 \times (\frac{m}{s^{2}})

Conversion Equation

\frac{1609.344}{1.296 \times 10^{7}} = x \times 0.3048

Switch sides

x \times 0.3048 = \frac{1609.344}{1.296 \times 10^{7}}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.3048})

x \times 0.3048 \times \frac{1.0}{0.3048} = \frac{1609.344}{1.296 \times 10^{7}} \times \frac{1.0}{0.3048}

Cancel

x \times 0.3048 \times \frac{1.0}{0.3048} = \frac{1609.344 \times 1.0}{1.296 \times 10^{7} \times 0.3048}

Simplify

x = \frac{1609.344}{1.296 \times 10^{7} \times 0.3048}

Rewrite equation

\frac{1.0}{10^{7}} can be rewritten to 10^{- 7}

Rewrite

x = \frac{10^{- 7} \times 1609.344}{1.296 \times 0.3048}

Solve

x

x \approx 0.0004074074 \approx 4.0741 \times 10^{- 4}

Conversion Equation

1.0 (\frac{m i l e}{s q u a r e h o u r}) \approx 4.0741 \times 10^{- 4} (\frac{f o o t}{s q u a r e s e c o n d})

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