Convert mile / second to yard / hour

Learn how to convert 1 mile / second to yard / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{m i l e}{s e c o n d}) = x (\frac{y a r d}{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}{s e c o n d}) = 1609.344 (\frac{m e t e r}{s e c o n d}) = 1609.344 (\frac{m}{s})

Right side: 1.0 (\frac{y a r d}{h o u r}) = \frac{9.144 \times 10^{- 1}}{3.6 \times 10^{3}} (\frac{m e t e r}{s e c o n d}) = \frac{9.144 \times 10^{- 1}}{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}{s e c o n d}) = x (\frac{y a r d}{h o u r})

Insert known values =>

1.0 \times 1609.344 \times (\frac{m e t e r}{s e c o n d}) = x \times \frac{9.144 \times 10^{- 1}}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot 1609.344 \cdot (\frac{m}{s}) = x \cdot \frac{9.144 \times 10^{- 1}}{3.6 \times 10^{3}} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 1609.344 \cdot (\frac{m}{s}) = x \times \frac{9.144 \times 10^{- 1}}{3.6 \times 10^{3}} \times (\frac{m}{s})

Conversion Equation

1609.344 = x \times \frac{9.144 \times 10^{- 1}}{3.6 \times 10^{3}}

Switch sides

x \times \frac{9.144 \times 10^{- 1}}{3.6 \times 10^{3}} = 1609.344

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{9.144 \times 10^{- 1}})

x \times \frac{9.144 \times 10^{- 1}}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{9.144 \times 10^{- 1}} = 1609.344 \times \frac{3.6 \times 10^{3}}{9.144 \times 10^{- 1}}

Cancel

x \times \frac{9.144 \times 10^{- 1} \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 9.144 \times 10^{- 1}} = 1609.344 \times \frac{3.6 \times 10^{3}}{9.144 \times 10^{- 1}}

Simplify

x = \frac{1609.344 \times 3.6 \times 10^{3}}{9.144 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 1609.344 \times 3.6 \times 10^{3}}{9.144}

Simplify

x = \frac{10^{4} \times 1609.344 \times 3.6}{9.144}

Solve

x

x = 6336000 = 6.336 \times 10^{6}

Conversion Equation

1.0 (\frac{m i l e}{s e c o n d}) = 6.336 \times 10^{6} (\frac{y a r d}{h o u r})

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