Convert kip-force / square foot to atmosphere

Learn how to convert 1 kip-force / square foot to atmosphere step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{k i p - f o r c e}{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{k i p - f o r c e}{s q u a r e f o o t}) = \frac{4448.2216152605}{9.290304 \times 10^{- 2}} (p a s c a l) = \frac{4448.2216152605}{9.290304 \times 10^{- 2}} (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{k i p - f o r c e}{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{4448.2216152605}{9.290304 \times 10^{- 2}} \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{4448.2216152605}{9.290304 \times 10^{- 2}} \cdot (P a) = x \cdot 1.01325 \times 10^{5} \cdot (P a)

Cancel SI units

1.0 \times \frac{4448.2216152605}{9.290304 \times 10^{- 2}} \cdot (P a) = x \times 1.01325 \times 10^{5} \times (P a)

Conversion Equation

\frac{4448.2216152605}{9.290304 \times 10^{- 2}} = x \times 1.01325 \times 10^{5}

Switch sides

x \times 1.01325 \times 10^{5} = \frac{4448.2216152605}{9.290304 \times 10^{- 2}}

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{4448.2216152605}{9.290304 \times 10^{- 2}} \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{4448.2216152605 \times 1.0}{9.290304 \times 10^{- 2} \times 1.01325 \times {10^{5}}^{10^{3}}}

Simplify

x = \frac{4448.2216152605}{9.290304 \times 1.01325 \times 10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 4448.2216152605}{9.290304 \times 1.01325}

Solve

x

x \approx 0.472541416 \approx 4.7254 \times 10^{- 1}

Conversion Equation

1.0 (\frac{k i p - f o r c e}{s q u a r e f o o t}) \approx 4.7254 \times 10^{- 1} (a t m o s p h e r e)

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