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

Learn how to convert 1 inch / (minute • second) to inch / 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{i n c h}{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{i n c h}{s q u a r e h o u r}) = \frac{2.54 \times 10^{- 2}}{1.296 \times 10^{7}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{2.54 \times 10^{- 2}}{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{i n c h}{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{2.54 \times 10^{- 2}}{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{2.54 \times 10^{- 2}}{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{2.54 \times 10^{- 2}}{1.296 \times 10^{7}} \times (\frac{m}{s^{2}})

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{1.296 \times 10^{7}}{1.0})

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

Cancel

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

Simplify

x = \frac{1.296 \times 10^{7}}{60.0}

Solve

x

x = 216000 = 2.16 \times 10^{5}

Conversion Equation

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

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