Convert gram / square foot to atmosphere

Learn how to convert 1 gram / square foot to atmosphere step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m}{s q u a r e f o o t}) = x (a t m o s p h e r e)

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

(p a s c a l)

Left side: 1.0 (\frac{g r a m}{s q u a r e f o o t}) = \frac{9.80665 \times 10^{- 1}}{9.290304} (p a s c a l) = \frac{9.80665 \times 10^{- 1}}{9.290304} (P a)

Right side: 1.0 (a t m o s p h e r e) = 1.01325 \times 10^{5} (p a s c a l) = 1.01325 \times 10^{5} (P a)

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a m}{s q u a r e f o o t}) = x (a t m o s p h e r e)

Insert known values =>

1.0 \times \frac{9.80665 \times 10^{- 1}}{9.290304} \times (p a s c a l) = x \times 1.01325 \times 10^{5} \times (p a s c a l)

Or

1.0 \cdot \frac{9.80665 \times 10^{- 1}}{9.290304} \cdot (P a) = x \cdot 1.01325 \times 10^{5} \cdot (P a)

Cancel SI units

1.0 \times \frac{9.80665 \times 10^{- 1}}{9.290304} \cdot (P a) = x \times 1.01325 \times 10^{5} \times (P a)

Conversion Equation

\frac{9.80665 \times 10^{- 1}}{9.290304} = x \times 1.01325 \times 10^{5}

Switch sides

x \times 1.01325 \times 10^{5} = \frac{9.80665 \times 10^{- 1}}{9.290304}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.01325 \times 10^{5}})

x \times 1.01325 \times 10^{5} \times \frac{1.0}{1.01325 \times 10^{5}} = \frac{9.80665 \times 10^{- 1}}{9.290304} \times \frac{1.0}{1.01325 \times 10^{5}}

Cancel

x \times 1.01325 \times 10^{5} \times \frac{1.0}{1.01325 \times 10^{5}} = \frac{9.80665 \times 10^{- 1} \times 1.0}{9.290304 \times 1.01325 \times 10^{5}}

Simplify

x = \frac{9.80665 \times 10^{- 1}}{9.290304 \times 1.01325 \times 10^{5}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 5} \times 9.80665 \times 10^{- 1}}{9.290304 \times 1.01325}

Simplify

x = \frac{10^{- 6} \times 9.80665}{9.290304 \times 1.01325}

Solve

x

x \approx 0.0000010418 \approx 1.0418 \times 10^{- 6}

Conversion Equation

1.0 (\frac{g r a m}{s q u a r e f o o t}) \approx 1.0418 \times 10^{- 6} (a t m o s p h e r e)

View All Examples