Convert foot / minute to furlong / hour

Learn how to convert 1 foot / minute to furlong / hour step by step.

Calculation Breakdown

Set up the equation

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

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 o o t}{m i n u t e}) = \frac{3.048 \times 10^{- 1}}{60.0} (\frac{m e t e r}{s e c o n d}) = \frac{3.048 \times 10^{- 1}}{60.0} (\frac{m}{s})

Right side: 1.0 (\frac{f u r l o n g}{h o u r}) = \frac{201.168}{3.6 \times 10^{3}} (\frac{m e t e r}{s e c o n d}) = \frac{201.168}{3.6 \times 10^{3}} (\frac{m}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{3.048 \times 10^{- 1}}{60.0} \times (\frac{m e t e r}{s e c o n d}) = x \times \frac{201.168}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{3.048 \times 10^{- 1}}{60.0} \cdot (\frac{m}{s}) = x \cdot \frac{201.168}{3.6 \times 10^{3}} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times \frac{3.048 \times 10^{- 1}}{60.0} \cdot (\frac{m}{s}) = x \times \frac{201.168}{3.6 \times 10^{3}} \times (\frac{m}{s})

Conversion Equation

\frac{3.048 \times 10^{- 1}}{60.0} = x \times \frac{201.168}{3.6 \times 10^{3}}

Switch sides

x \times \frac{201.168}{3.6 \times 10^{3}} = \frac{3.048 \times 10^{- 1}}{60.0}

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{201.168})

x \times \frac{201.168}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{201.168} = \frac{3.048 \times 10^{- 1}}{60.0} \times \frac{3.6 \times 10^{3}}{201.168}

Cancel

x \times \frac{201.168 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 201.168} = \frac{3.048 \times 10^{- 1} \times 3.6 \times {10^{3}}^{10^{2}}}{60.0 \times 201.168}

Simplify

x = \frac{3.048 \times 3.6 \times 10^{2}}{60.0 \times 201.168}

Solve

x

x \approx 0.0909090909 \approx 9.0909 \times 10^{- 2}

Conversion Equation

1.0 (\frac{f o o t}{m i n u t e}) \approx 9.0909 \times 10^{- 2} (\frac{f u r l o n g}{h o u r})

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