Convert mach to mile / minute

Learn how to convert 1 mach to mile / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (m a c h) = x (\frac{m i l e}{m i n u t e})

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 (m a c h) = 331.0 (\frac{m e t e r}{s e c o n d}) = 331.0 (\frac{m}{s})

Right side: 1.0 (\frac{m i l e}{m i n u t e}) = \frac{1609.344}{60.0} (\frac{m e t e r}{s e c o n d}) = \frac{1609.344}{60.0} (\frac{m}{s})

Insert known values into the conversion equation to determine

x

1.0 (m a c h) = x (\frac{m i l e}{m i n u t e})

Insert known values =>

1.0 \times 331.0 \times (\frac{m e t e r}{s e c o n d}) = x \times \frac{1609.344}{60.0} \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot 331.0 \cdot (\frac{m}{s}) = x \cdot \frac{1609.344}{60.0} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 331.0 \cdot (\frac{m}{s}) = x \times \frac{1609.344}{60.0} \times (\frac{m}{s})

Conversion Equation

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

Switch sides

x \times \frac{1609.344}{60.0} = 331.0

Isolate

x

Multiply both sides by

(\frac{60.0}{1609.344})

x \times \frac{1609.344}{60.0} \times \frac{60.0}{1609.344} = 331.0 \times \frac{60.0}{1609.344}

Cancel

x \times \frac{1609.344 \times 60.0}{60.0 \times 1609.344} = 331.0 \times \frac{60.0}{1609.344}

Simplify

x = \frac{331.0 \times 60.0}{1609.344}

Solve

x

x \approx 12.340431878 \approx 12.3404

Conversion Equation

1.0 (m a c h) \approx 12.3404 (\frac{m i l e}{m i n u t e})

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