Convert inch / (hour • minute) to knot / second

Learn how to convert 1 inch / (hour • minute) to knot / second step by step.

Calculation Breakdown

Set up the equation

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

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{i n c h}{h o u r \times m i n u t e}) = \frac{0.0254}{2.16 \times 10^{5}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{0.0254}{2.16 \times 10^{5}} (\frac{m}{s^{2}})

Right side: 1.0 (\frac{k n o t}{s e c o n d}) = \frac{50.93}{99.0} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{50.93}{99.0} (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{0.0254}{2.16 \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{50.93}{99.0} \times (\frac{m e t e r}{s q u a r e s e c o n d})

Or

1.0 \cdot \frac{0.0254}{2.16 \times 10^{5}} \cdot (\frac{m}{s^{2}}) = x \cdot \frac{50.93}{99.0} \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times \frac{0.0254}{2.16 \times 10^{5}} \cdot (\frac{m}{s^{2}}) = x \times \frac{50.93}{99.0} \times (\frac{m}{s^{2}})

Conversion Equation

\frac{0.0254}{2.16 \times 10^{5}} = x \times \frac{50.93}{99.0}

Switch sides

x \times \frac{50.93}{99.0} = \frac{0.0254}{2.16 \times 10^{5}}

Isolate

x

Multiply both sides by

(\frac{99.0}{50.93})

x \times \frac{50.93}{99.0} \times \frac{99.0}{50.93} = \frac{0.0254}{2.16 \times 10^{5}} \times \frac{99.0}{50.93}

Cancel

x \times \frac{50.93 \times 99.0}{99.0 \times 50.93} = \frac{0.0254 \times 99.0}{2.16 \times 10^{5} \times 50.93}

Simplify

x = \frac{0.0254 \times 99.0}{2.16 \times 10^{5} \times 50.93}

Rewrite equation

\frac{1.0}{10^{5}} can be rewritten to 10^{- 5}

Rewrite

x = \frac{10^{- 5} \times 0.0254 \times 99.0}{2.16 \times 50.93}

Solve

x

x \approx 0.0000002286 \approx 2.2858 \times 10^{- 7}

Conversion Equation

1.0 (\frac{i n c h}{h o u r \times m i n u t e}) \approx 2.2858 \times 10^{- 7} (\frac{k n o t}{s e c o n d})

View All Examples