Convert mach to meter / second

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

Calculation Breakdown

Set up the equation

1.0 (m a c h) = x (\frac{m e t e r}{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{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})

Insert known values into the conversion equation to determine

x

1.0 (m a c h) = x (\frac{m e t e r}{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 1.0 \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 1.0 \cdot (\frac{m}{s})

Cancel SI units

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

Conversion Equation

331.0 = x \times 1.0

Simplify

331.0 = x

Switch sides

x = 331.0

Solve

x

x = 331 = 3.31 \times 10^{2}

Conversion Equation

1.0 (m a c h) = 3.31 \times 10^{2} (\frac{m e t e r}{s e c o n d})

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