Convert mach to inch / second

Learn how to convert 1 mach to inch / second step by step.

Calculation Breakdown

Set up the equation

1.0 (m a c h) = x (\frac{i n c h}{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 (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{i n c h}{s e c o n d}) = 2.54 \times 10^{- 2} (\frac{m e t e r}{s e c o n d}) = 2.54 \times 10^{- 2} (\frac{m}{s})

Insert known values into the conversion equation to determine

x

1.0 (m a c h) = x (\frac{i n c h}{s e c o n d})

Insert known values =>

1.0 \times 331.0 \times (\frac{m e t e r}{s e c o n d}) = x \times 2.54 \times 10^{- 2} \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 2.54 \times 10^{- 2} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 331.0 \cdot (\frac{m}{s}) = x \times 2.54 \times 10^{- 2} \times (\frac{m}{s})

Conversion Equation

331.0 = x \times 2.54 \times 10^{- 2}

Switch sides

x \times 2.54 \times 10^{- 2} = 331.0

Isolate

x

Multiply both sides by

(\frac{1.0}{2.54 \times 10^{- 2}})

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = 331.0 \times \frac{1.0}{2.54 \times 10^{- 2}}

Cancel

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = 331.0 \times \frac{1.0}{2.54 \times 10^{- 2}}

Simplify

x = \frac{331.0}{2.54 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 331.0}{2.54}

Solve

x

x \approx 13031.496063 \approx 1.3031 \times 10^{4}

Conversion Equation

1.0 (m a c h) \approx 1.3031 \times 10^{4} (\frac{i n c h}{s e c o n d})

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