Convert inch / (minute • second) to mile / square hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{i n c h}{m i n u t e \times s e c o n d}) = x (\frac{m i l e}{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{i n c h}{m i n u t e \times s e c o n d}) = \frac{2.54 \times 10^{- 2}}{60.0} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{2.54 \times 10^{- 2}}{60.0} (\frac{m}{s^{2}})

Right side: 1.0 (\frac{m i l e}{s q u a r e h o u r}) = \frac{1609.344}{1.296 \times 10^{7}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{1609.344}{1.296 \times 10^{7}} (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{2.54 \times 10^{- 2}}{60.0} \times (\frac{m e t e r}{s q u a r e s e c o n d}) = x \times \frac{1609.344}{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{2.54 \times 10^{- 2}}{60.0} \cdot (\frac{m}{s^{2}}) = x \cdot \frac{1609.344}{1.296 \times 10^{7}} \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times \frac{2.54 \times 10^{- 2}}{60.0} \cdot (\frac{m}{s^{2}}) = x \times \frac{1609.344}{1.296 \times 10^{7}} \times (\frac{m}{s^{2}})

Conversion Equation

\frac{2.54 \times 10^{- 2}}{60.0} = x \times \frac{1609.344}{1.296 \times 10^{7}}

Switch sides

x \times \frac{1609.344}{1.296 \times 10^{7}} = \frac{2.54 \times 10^{- 2}}{60.0}

Isolate

x

Multiply both sides by

(\frac{1.296 \times 10^{7}}{1609.344})

x \times \frac{1609.344}{1.296 \times 10^{7}} \times \frac{1.296 \times 10^{7}}{1609.344} = \frac{2.54 \times 10^{- 2}}{60.0} \times \frac{1.296 \times 10^{7}}{1609.344}

Cancel

x \times \frac{1609.344 \times 1.296 \times 10^{7}}{1.296 \times 10^{7} \times 1609.344} = \frac{2.54 \times 10^{- 2} \times 1.296 \times {10^{7}}^{10^{5}}}{60.0 \times 1609.344}

Simplify

x = \frac{2.54 \times 1.296 \times 10^{5}}{60.0 \times 1609.344}

Solve

x

x \approx 3.4090909091 \approx 3.4091

Conversion Equation

1.0 (\frac{i n c h}{m i n u t e \times s e c o n d}) \approx 3.4091 (\frac{m i l e}{s q u a r e h o u r})

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