Convert square inch / second to square foot / hour

Learn how to convert 1 square inch / second to square foot / hour step by step.

Calculation Breakdown

Set up the equation

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

Define the base values of the selected units in relation to the SI unit

(\frac{s q u a r e m e t e r}{s e c o n d})

Left side: 1.0 (\frac{s q u a r e i n c h}{s e c o n d}) = 6.4516 \times 10^{- 4} (\frac{s q u a r e m e t e r}{s e c o n d}) = 6.4516 \times 10^{- 4} (\frac{m^{2}}{s})

Right side: 1.0 (\frac{s q u a r e f o o t}{h o u r}) = \frac{9.290304 \times 10^{- 2}}{3.6 \times 10^{3}} (\frac{s q u a r e m e t e r}{s e c o n d}) = \frac{9.290304 \times 10^{- 2}}{3.6 \times 10^{3}} (\frac{m^{2}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 6.4516 \times 10^{- 4} \times (\frac{s q u a r e m e t e r}{s e c o n d}) = x \times \frac{9.290304 \times 10^{- 2}}{3.6 \times 10^{3}} \times (\frac{s q u a r e m e t e r}{s e c o n d})

Or

1.0 \cdot 6.4516 \times 10^{- 4} \cdot (\frac{m^{2}}{s}) = x \cdot \frac{9.290304 \times 10^{- 2}}{3.6 \times 10^{3}} \cdot (\frac{m^{2}}{s})

Cancel SI units

1.0 \times 6.4516 \times 10^{- 4} \cdot (\frac{m^{2}}{s}) = x \times \frac{9.290304 \times 10^{- 2}}{3.6 \times 10^{3}} \times (\frac{m^{2}}{s})

Conversion Equation

6.4516 \times 10^{- 4} = x \times \frac{9.290304 \times 10^{- 2}}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

6.4516 \times {10^{- 4}}^{10^{- 2}} = x \times \frac{9.290304 \times 10^{- 2}}{3.6 \times 10^{3}}

Simplify

6.4516 \times 10^{- 2} = x \times \frac{9.290304}{3.6 \times 10^{3}}

Switch sides

x \times \frac{9.290304}{3.6 \times 10^{3}} = 6.4516 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{9.290304})

x \times \frac{9.290304}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{9.290304} = 6.4516 \times 10^{- 2} \times \frac{3.6 \times 10^{3}}{9.290304}

Cancel

x \times \frac{9.290304 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 9.290304} = 6.4516 \times 10^{- 2} \times \frac{3.6 \times {10^{3}}^{10}}{9.290304}

Simplify

x = \frac{6.4516 \times 3.6 \times 10.0}{9.290304}

Solve

x

x = 25

Conversion Equation

1.0 (\frac{s q u a r e i n c h}{s e c o n d}) = 25 (\frac{s q u a r e f o o t}{h o u r})

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