Convert meter / second to mile / second

Learn how to convert 1 meter / second to mile / second step by step.

Calculation Breakdown

Set up the equation

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

Insert known values =>

1.0 \times 1.0 \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 1.0 \cdot (\frac{m}{s}) = x \cdot 1609.344 \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 1.0 \cdot (\frac{m}{s}) = x \times 1609.344 \times (\frac{m}{s})

Conversion Equation

1.0 = x \times 1609.344

Simplify

1.0 = x \times 1609.344

Switch sides

x \times 1609.344 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1609.344})

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

Cancel

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

Simplify

x = \frac{1.0}{1609.344}

Solve

x

x \approx 0.0006213712 \approx 6.2137 \times 10^{- 4}

Conversion Equation

1.0 (\frac{m e t e r}{s e c o n d}) \approx 6.2137 \times 10^{- 4} (\frac{m i l e}{s e c o n d})

View All Examples