Convert knot / hour to inch / square hour

Learn how to convert 1 knot / hour to inch / square hour step by step.

Calculation Breakdown

Set up the equation

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

Left side: 1.0 (\frac{k n o t}{h o u r}) = \frac{50.93}{3.564 \times 10^{5}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{50.93}{3.564 \times 10^{5}} (\frac{m}{s^{2}})

Right side: 1.0 (\frac{i n c h}{s q u a r e h o u r}) = \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{7}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{7}} (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{50.93}{3.564 \times 10^{5}} \times (\frac{m e t e r}{s q u a r e s e c o n d}) = x \times \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{7}} \times (\frac{m e t e r}{s q u a r e s e c o n d})

Or

1.0 \cdot \frac{50.93}{3.564 \times 10^{5}} \cdot (\frac{m}{s^{2}}) = x \cdot \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{7}} \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times \frac{50.93}{3.564 \times 10^{5}} \cdot (\frac{m}{s^{2}}) = x \times \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{7}} \times (\frac{m}{s^{2}})

Conversion Equation

\frac{50.93}{3.564 \times 10^{5}} = x \times \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{7}}

Cancel factors on both sides

Cancel factors

\frac{50.93}{3.564 \times 10^{5}} = x \times \frac{2.54 \times 10^{- 2}}{1.296 \times {10^{7}}^{10^{2}}}

Simplify

\frac{50.93}{3.564} = x \times \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{2}}

Switch sides

x \times \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{2}} = \frac{50.93}{3.564}

Isolate

x

Multiply both sides by

(\frac{1.296 \times 10^{2}}{2.54 \times 10^{- 2}})

x \times \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{2}} \times \frac{1.296 \times 10^{2}}{2.54 \times 10^{- 2}} = \frac{50.93}{3.564} \times \frac{1.296 \times 10^{2}}{2.54 \times 10^{- 2}}

Cancel

x \times \frac{2.54 \times 10^{- 2} \times 1.296 \times 10^{2}}{1.296 \times 10^{2} \times 2.54 \times 10^{- 2}} = \frac{50.93 \times 1.296 \times 10^{2}}{3.564 \times 2.54 \times 10^{- 2}}

Simplify

x = \frac{50.93 \times 1.296 \times 10^{2}}{3.564 \times 2.54 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 50.93 \times 1.296 \times 10^{2}}{3.564 \times 2.54}

Simplify

x = \frac{10^{4} \times 50.93 \times 1.296}{3.564 \times 2.54}

Solve

x

x \approx 72913.385827 \approx 7.2913 \times 10^{4}

Conversion Equation

1.0 (\frac{k n o t}{h o u r}) \approx 7.2913 \times 10^{4} (\frac{i n c h}{s q u a r e h o u r})

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