Convert foot / minute to mile / second

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

Calculation Breakdown

Set up the equation

1.0 (\frac{f o o t}{m i n u t e}) = 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}{m i n u t e}) = \frac{3.048 \times 10^{- 1}}{60.0} (\frac{m e t e r}{s e c o n d}) = \frac{3.048 \times 10^{- 1}}{60.0} (\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}{m i n u t e}) = x (\frac{m i l e}{s e c o n d})

Insert known values =>

1.0 \times \frac{3.048 \times 10^{- 1}}{60.0} \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}}{60.0} \cdot (\frac{m}{s}) = x \cdot 1609.344 \cdot (\frac{m}{s})

Cancel SI units

1.0 \times \frac{3.048 \times 10^{- 1}}{60.0} \cdot (\frac{m}{s}) = x \times 1609.344 \times (\frac{m}{s})

Conversion Equation

\frac{3.048 \times 10^{- 1}}{60.0} = x \times 1609.344

Switch sides

x \times 1609.344 = \frac{3.048 \times 10^{- 1}}{60.0}

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}}{60.0} \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}{60.0 \times 1609.344}

Simplify

x = \frac{3.048 \times 10^{- 1}}{60.0 \times 1609.344}

Solve

x

x \approx 0.0000031566 \approx 3.1566 \times 10^{- 6}

Conversion Equation

1.0 (\frac{f o o t}{m i n u t e}) \approx 3.1566 \times 10^{- 6} (\frac{m i l e}{s e c o n d})

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