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

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

Calculation Breakdown

Set up the equation

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

Right 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}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{60.0}{1609.344})

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

Cancel

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

Simplify

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

Solve

x

x \approx 0.0113636364 \approx 1.1364 \times 10^{- 2}

Conversion Equation

1.0 (\frac{f o o t}{s q u a r e s e c o n d}) \approx 1.1364 \times 10^{- 2} (\frac{m i l e}{m i n u t e \times s e c o n d})

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