Convert mile / (minute • second) to foot / (minute • second)

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

Calculation Breakdown

Set up the equation

1.0 (\frac{m i l e}{m i n u t e \times s e c o n d}) = x (\frac{f o o t}{m i n u t e \times 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}{m i n u t e \times s e c o n d}) = \frac{1609.344}{60.0} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{1609.344}{60.0} (\frac{m}{s^{2}})

Right side: 1.0 (\frac{f o o t}{m i n u t e \times s e c o n d}) = \frac{0.3048}{60.0} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{0.3048}{60.0} (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1609.344}{60.0} \times (\frac{m e t e r}{s q u a r e s e c o n d}) = x \times \frac{0.3048}{60.0} \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}{60.0} \cdot (\frac{m}{s^{2}}) = x \cdot \frac{0.3048}{60.0} \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times \frac{1609.344}{60.0} \cdot (\frac{m}{s^{2}}) = x \times \frac{0.3048}{60.0} \times (\frac{m}{s^{2}})

Conversion Equation

\frac{1609.344}{60.0} = x \times \frac{0.3048}{60.0}

Cancel factors on both sides

Cancel factors

\frac{1609.344}{60.0} = x \times \frac{0.3048}{60.0}

Simplify

1609.344 = x \times 0.3048

Switch sides

x \times 0.3048 = 1609.344

Isolate

x

Multiply both sides by

(\frac{1.0}{0.3048})

x \times 0.3048 \times \frac{1.0}{0.3048} = 1609.344 \times \frac{1.0}{0.3048}

Cancel

x \times 0.3048 \times \frac{1.0}{0.3048} = 1609.344 \times \frac{1.0}{0.3048}

Simplify

x = \frac{1609.344}{0.3048}

Solve

x

x = 5280 = 5.28 \times 10^{3}

Conversion Equation

1.0 (\frac{m i l e}{m i n u t e \times s e c o n d}) = 5.28 \times 10^{3} (\frac{f o o t}{m i n u t e \times s e c o n d})

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