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

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

Calculation Breakdown

Set up the equation

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

Right 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}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1.0}{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{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})

Or

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

Cancel SI units

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

Conversion Equation

\frac{1.0}{1.296 \times 10^{7}} = x \times \frac{2.54 \times 10^{- 2}}{60.0}

Switch sides

x \times \frac{2.54 \times 10^{- 2}}{60.0} = \frac{1.0}{1.296 \times 10^{7}}

Isolate

x

Multiply both sides by

(\frac{60.0}{2.54 \times 10^{- 2}})

x \times \frac{2.54 \times 10^{- 2}}{60.0} \times \frac{60.0}{2.54 \times 10^{- 2}} = \frac{1.0}{1.296 \times 10^{7}} \times \frac{60.0}{2.54 \times 10^{- 2}}

Cancel

x \times \frac{2.54 \times 10^{- 2} \times 60.0}{60.0 \times 2.54 \times 10^{- 2}} = \frac{1.0 \times 60.0}{1.296 \times {10^{7}}^{10^{5}} \times 2.54 \times 10^{- 2}}

Simplify

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

Rewrite equation

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

Rewrite

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

Solve

x

x \approx 0.0001822689 \approx 1.8227 \times 10^{- 4}

Conversion Equation

1.0 (\frac{m e t e r}{s q u a r e h o u r}) \approx 1.8227 \times 10^{- 4} (\frac{i n c h}{m i n u t e \times s e c o n d})

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