Convert mile / hour to inch / hour

Learn how to convert 1 mile / hour to inch / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{m i l e}{h o u r}) = x (\frac{i n c h}{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 e c o n d})

Left side: 1.0 (\frac{m i l e}{h o u r}) = \frac{1609.344}{3.6 \times 10^{3}} (\frac{m e t e r}{s e c o n d}) = \frac{1609.344}{3.6 \times 10^{3}} (\frac{m}{s})

Right side: 1.0 (\frac{i n c h}{h o u r}) = \frac{2.54 \times 10^{- 2}}{3.6 \times 10^{3}} (\frac{m e t e r}{s e c o n d}) = \frac{2.54 \times 10^{- 2}}{3.6 \times 10^{3}} (\frac{m}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{m i l e}{h o u r}) = x (\frac{i n c h}{h o u r})

Insert known values =>

1.0 \times \frac{1609.344}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s e c o n d}) = x \times \frac{2.54 \times 10^{- 2}}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{1609.344}{3.6 \times 10^{3}} \cdot (\frac{m}{s}) = x \cdot \frac{2.54 \times 10^{- 2}}{3.6 \times 10^{3}} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times \frac{1609.344}{3.6 \times 10^{3}} \cdot (\frac{m}{s}) = x \times \frac{2.54 \times 10^{- 2}}{3.6 \times 10^{3}} \times (\frac{m}{s})

Conversion Equation

\frac{1609.344}{3.6 \times 10^{3}} = x \times \frac{2.54 \times 10^{- 2}}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{1609.344}{3.6 \times 10^{3}} = x \times \frac{2.54 \times 10^{- 2}}{3.6 \times 10^{3}}

Simplify

1609.344 = x \times 2.54 \times 10^{- 2}

Switch sides

x \times 2.54 \times 10^{- 2} = 1609.344

Isolate

x

Multiply both sides by

(\frac{1.0}{2.54 \times 10^{- 2}})

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = 1609.344 \times \frac{1.0}{2.54 \times 10^{- 2}}

Cancel

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = 1609.344 \times \frac{1.0}{2.54 \times 10^{- 2}}

Simplify

x = \frac{1609.344}{2.54 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 1609.344}{2.54}

Solve

x

x = 63360 = 6.336 \times 10^{4}

Conversion Equation

1.0 (\frac{m i l e}{h o u r}) = 6.336 \times 10^{4} (\frac{i n c h}{h o u r})

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