Convert foot / hour to knot

Learn how to convert 1 foot / hour to knot step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{f o o t}{h o u r}) = x (k n o t)

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

Right side: 1.0 (k n o t) = \frac{1852.0}{3.6 \times 10^{3}} (\frac{m e t e r}{s e c o n d}) = \frac{1852.0}{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}{h o u r}) = x (k n o t)

Insert known values =>

1.0 \times \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s e c o n d}) = x \times \frac{1852.0}{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}}{3.6 \times 10^{3}} \cdot (\frac{m}{s}) = x \cdot \frac{1852.0}{3.6 \times 10^{3}} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times \frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} \cdot (\frac{m}{s}) = x \times \frac{1852.0}{3.6 \times 10^{3}} \times (\frac{m}{s})

Conversion Equation

\frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} = x \times \frac{1852.0}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{3.048 \times 10^{- 1}}{3.6 \times 10^{3}} = x \times \frac{1852.0}{3.6 \times 10^{3}}

Simplify

3.048 \times 10^{- 1} = x \times 1852.0

Switch sides

x \times 1852.0 = 3.048 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{1852.0})

x \times 1852.0 \times \frac{1.0}{1852.0} = 3.048 \times 10^{- 1} \times \frac{1.0}{1852.0}

Cancel

x \times 1852.0 \times \frac{1.0}{1852.0} = 3.048 \times 10^{- 1} \times \frac{1.0}{1852.0}

Simplify

x = \frac{3.048 \times 10^{- 1}}{1852.0}

Solve

x

x \approx 0.0001645788 \approx 1.6458 \times 10^{- 4}

Conversion Equation

1.0 (\frac{f o o t}{h o u r}) \approx 1.6458 \times 10^{- 4} (k n o t)

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