Convert mile / square second to knot / minute

Learn how to convert 1 mile / square second to knot / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{m i l e}{s q u a r e s e c o n d}) = x (\frac{k n o t}{m i n u t e})

Define the base values of the selected units in relation to the SI unit

(\frac{m e t e r}{s q u a r e s e c o n d})

Left side: 1.0 (\frac{m i l e}{s q u a r e s e c o n d}) = 1609.344 (\frac{m e t e r}{s q u a r e s e c o n d}) = 1609.344 (\frac{m}{s^{2}})

Right side: 1.0 (\frac{k n o t}{m i n u t e}) = \frac{50.93}{5940.0} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{50.93}{5940.0} (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{m i l e}{s q u a r e s e c o n d}) = x (\frac{k n o t}{m i n u t e})

Insert known values =>

1.0 \times 1609.344 \times (\frac{m e t e r}{s q u a r e s e c o n d}) = x \times \frac{50.93}{5940.0} \times (\frac{m e t e r}{s q u a r e s e c o n d})

Or

1.0 \cdot 1609.344 \cdot (\frac{m}{s^{2}}) = x \cdot \frac{50.93}{5940.0} \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times 1609.344 \cdot (\frac{m}{s^{2}}) = x \times \frac{50.93}{5940.0} \times (\frac{m}{s^{2}})

Conversion Equation

1609.344 = x \times \frac{50.93}{5940.0}

Switch sides

x \times \frac{50.93}{5940.0} = 1609.344

Isolate

x

Multiply both sides by

(\frac{5940.0}{50.93})

x \times \frac{50.93}{5940.0} \times \frac{5940.0}{50.93} = 1609.344 \times \frac{5940.0}{50.93}

Cancel

x \times \frac{50.93 \times 5940.0}{5940.0 \times 50.93} = 1609.344 \times \frac{5940.0}{50.93}

Simplify

x = \frac{1609.344 \times 5940.0}{50.93}

Solve

x

x \approx 187698.86825 \approx 1.877 \times 10^{5}

Conversion Equation

1.0 (\frac{m i l e}{s q u a r e s e c o n d}) \approx 1.877 \times 10^{5} (\frac{k n o t}{m i n u t e})

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