Convert atmosphere to gram / square inch

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

Calculation Breakdown

Set up the equation

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

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

(p a s c a l)

Left side: 1.0 (a t m o s p h e r e) = 9.80665 \times 10^{5} (p a s c a l) = 9.80665 \times 10^{5} (P a)

Right side: 1.0 (\frac{g r a m}{s q u a r e i n c h}) = \frac{9.80665}{6.4516 \times 10^{- 1}} (p a s c a l) = \frac{9.80665}{6.4516 \times 10^{- 1}} (P a)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 9.80665 \times 10^{5} \times (p a s c a l) = x \times \frac{9.80665}{6.4516 \times 10^{- 1}} \times (p a s c a l)

Or

1.0 \cdot 9.80665 \times 10^{5} \cdot (P a) = x \cdot \frac{9.80665}{6.4516 \times 10^{- 1}} \cdot (P a)

Cancel SI units

1.0 \times 9.80665 \times 10^{5} \cdot (P a) = x \times \frac{9.80665}{6.4516 \times 10^{- 1}} \times (P a)

Conversion Equation

9.80665 \times 10^{5} = x \times \frac{9.80665}{6.4516 \times 10^{- 1}}

Cancel factors on both sides

Cancel factors

9.80665 \times 10^{5} = x \times \frac{9.80665}{6.4516 \times 10^{- 1}}

Simplify

10^{5} = x \times \frac{1.0}{6.4516 \times 10^{- 1}}

Switch sides

x \times \frac{1.0}{6.4516 \times 10^{- 1}} = 10^{5}

Isolate

x

Multiply both sides by

(\frac{6.4516 \times 10^{- 1}}{1.0})

x \times \frac{1.0}{6.4516 \times 10^{- 1}} \times \frac{6.4516 \times 10^{- 1}}{1.0} = 10^{5} \times \frac{6.4516 \times 10^{- 1}}{1.0}

Cancel

x \times \frac{1.0 \times 6.4516 \times 10^{- 1}}{6.4516 \times 10^{- 1} \times 1.0} = {10^{5}}^{10^{4}} \times \frac{6.4516 \times 10^{- 1}}{1.0}

Simplify

x = 10^{4} \times 6.4516

Solve

x

x = 64516 = 6.4516 \times 10^{4}

Conversion Equation

1.0 (a t m o s p h e r e) = 6.4516 \times 10^{4} (\frac{g r a m}{s q u a r e i n c h})

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