Convert square foot / second to square inch / minute

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

Calculation Breakdown

Set up the equation

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

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 f o o t}{s e c o n d}) = 9.290304 \times 10^{- 2} (\frac{s q u a r e m e t e r}{s e c o n d}) = 9.290304 \times 10^{- 2} (\frac{m^{2}}{s})

Right side: 1.0 (\frac{s q u a r e i n c h}{m i n u t e}) = \frac{6.4516 \times 10^{- 4}}{60.0} (\frac{s q u a r e m e t e r}{s e c o n d}) = \frac{6.4516 \times 10^{- 4}}{60.0} (\frac{m^{2}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 9.290304 \times 10^{- 2} \times (\frac{s q u a r e m e t e r}{s e c o n d}) = x \times \frac{6.4516 \times 10^{- 4}}{60.0} \times (\frac{s q u a r e m e t e r}{s e c o n d})

Or

1.0 \cdot 9.290304 \times 10^{- 2} \cdot (\frac{m^{2}}{s}) = x \cdot \frac{6.4516 \times 10^{- 4}}{60.0} \cdot (\frac{m^{2}}{s})

Cancel SI units

1.0 \times 9.290304 \times 10^{- 2} \cdot (\frac{m^{2}}{s}) = x \times \frac{6.4516 \times 10^{- 4}}{60.0} \times (\frac{m^{2}}{s})

Conversion Equation

9.290304 \times 10^{- 2} = x \times \frac{6.4516 \times 10^{- 4}}{60.0}

Cancel factors on both sides

Cancel factors

9.290304 \times 10^{- 2} = x \times \frac{6.4516 \times {10^{- 4}}^{10^{- 2}}}{60.0}

Simplify

9.290304 = x \times \frac{6.4516 \times 10^{- 2}}{60.0}

Switch sides

x \times \frac{6.4516 \times 10^{- 2}}{60.0} = 9.290304

Isolate

x

Multiply both sides by

(\frac{60.0}{6.4516 \times 10^{- 2}})

x \times \frac{6.4516 \times 10^{- 2}}{60.0} \times \frac{60.0}{6.4516 \times 10^{- 2}} = 9.290304 \times \frac{60.0}{6.4516 \times 10^{- 2}}

Cancel

x \times \frac{6.4516 \times 10^{- 2} \times 60.0}{60.0 \times 6.4516 \times 10^{- 2}} = 9.290304 \times \frac{60.0}{6.4516 \times 10^{- 2}}

Simplify

x = \frac{9.290304 \times 60.0}{6.4516 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 9.290304 \times 60.0}{6.4516}

Solve

x

x = 8640 = 8.64 \times 10^{3}

Conversion Equation

1.0 (\frac{s q u a r e f o o t}{s e c o n d}) = 8.64 \times 10^{3} (\frac{s q u a r e i n c h}{m i n u t e})

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