Convert inch / second to knot

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

Calculation Breakdown

Set up the equation

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

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{i n c h}{s e c o n d}) = x (k n o t)

Insert known values =>

1.0 \times 2.54 \times 10^{- 2} \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 2.54 \times 10^{- 2} \cdot (\frac{m}{s}) = x \cdot \frac{1852.0}{3.6 \times 10^{3}} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 2.54 \times 10^{- 2} \cdot (\frac{m}{s}) = x \times \frac{1852.0}{3.6 \times 10^{3}} \times (\frac{m}{s})

Conversion Equation

2.54 \times 10^{- 2} = x \times \frac{1852.0}{3.6 \times 10^{3}}

Switch sides

x \times \frac{1852.0}{3.6 \times 10^{3}} = 2.54 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1852.0})

x \times \frac{1852.0}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{1852.0} = 2.54 \times 10^{- 2} \times \frac{3.6 \times 10^{3}}{1852.0}

Cancel

x \times \frac{1852.0 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 1852.0} = 2.54 \times 10^{- 2} \times \frac{3.6 \times {10^{3}}^{10}}{1852.0}

Simplify

x = \frac{2.54 \times 3.6 \times 10.0}{1852.0}

Solve

x

x \approx 0.0493736501 \approx 4.9374 \times 10^{- 2}

Conversion Equation

1.0 (\frac{i n c h}{s e c o n d}) \approx 4.9374 \times 10^{- 2} (k n o t)

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