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

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

Calculation Breakdown

Set up the equation

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

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{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}})

Right side: 1.0 (\frac{m i l e}{h o u r \times m i n u t e}) = \frac{1609.344}{2.16 \times 10^{5}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{1609.344}{2.16 \times 10^{5}} (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \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}) = x \times \frac{1609.344}{2.16 \times 10^{5}} \times (\frac{m e t e r}{s q u a r e s e c o n d})

Or

1.0 \cdot \frac{1609.344}{1.296 \times 10^{7}} \cdot (\frac{m}{s^{2}}) = x \cdot \frac{1609.344}{2.16 \times 10^{5}} \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times \frac{1609.344}{1.296 \times 10^{7}} \cdot (\frac{m}{s^{2}}) = x \times \frac{1609.344}{2.16 \times 10^{5}} \times (\frac{m}{s^{2}})

Conversion Equation

\frac{1609.344}{1.296 \times 10^{7}} = x \times \frac{1609.344}{2.16 \times 10^{5}}

Cancel factors on both sides

Cancel factors

\frac{1609.344}{1.296 \times {10^{7}}^{10^{2}}} = x \times \frac{1609.344}{2.16 \times 10^{5}}

Simplify

\frac{1.0}{1.296 \times 10^{2}} = x \times \frac{1.0}{2.16}

Switch sides

x \times \frac{1.0}{2.16} = \frac{1.0}{1.296 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{2.16}{1.0})

x \times \frac{1.0}{2.16} \times \frac{2.16}{1.0} = \frac{1.0}{1.296 \times 10^{2}} \times \frac{2.16}{1.0}

Cancel

x \times \frac{1.0 \times 2.16}{2.16 \times 1.0} = \frac{1.0 \times 2.16}{1.296 \times 10^{2} \times 1.0}

Simplify

x = \frac{2.16}{1.296 \times 10^{2}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 2.16}{1.296}

Solve

x

x \approx 0.0166666667 \approx 1.6667 \times 10^{- 2}

Conversion Equation

1.0 (\frac{m i l e}{s q u a r e h o u r}) \approx 1.6667 \times 10^{- 2} (\frac{m i l e}{h o u r \times m i n u t e})

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