Convert furlong / minute to mach

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

Calculation Breakdown

Set up the equation

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

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{f u r l o n g}{m i n u t e}) = \frac{201.168}{60.0} (\frac{m e t e r}{s e c o n d}) = \frac{201.168}{60.0} (\frac{m}{s})

Right 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})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{201.168}{60.0} \times (\frac{m e t e r}{s e c o n d}) = x \times 331.0 \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{201.168}{60.0} \cdot (\frac{m}{s}) = x \cdot 331.0 \cdot (\frac{m}{s})

Cancel SI units

1.0 \times \frac{201.168}{60.0} \cdot (\frac{m}{s}) = x \times 331.0 \times (\frac{m}{s})

Conversion Equation

\frac{201.168}{60.0} = x \times 331.0

Switch sides

x \times 331.0 = \frac{201.168}{60.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{331.0})

x \times 331.0 \times \frac{1.0}{331.0} = \frac{201.168}{60.0} \times \frac{1.0}{331.0}

Cancel

x \times 331.0 \times \frac{1.0}{331.0} = \frac{201.168 \times 1.0}{60.0 \times 331.0}

Simplify

x = \frac{201.168}{60.0 \times 331.0}

Solve

x

x \approx 0.0101293051 \approx 1.0129 \times 10^{- 2}

Conversion Equation

1.0 (\frac{f u r l o n g}{m i n u t e}) \approx 1.0129 \times 10^{- 2} (m a c h)

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