Convert atmosphere to poundal / square inch

Learn how to convert 1 atmosphere to poundal / 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{p o u n d a l}{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) = 1.01325 \times 10^{5} (p a s c a l) = 1.01325 \times 10^{5} (P a)

Right side: 1.0 (\frac{p o u n d a l}{s q u a r e i n c h}) = \frac{1.38254954376}{6.4516 \times 10^{- 3}} (p a s c a l) = \frac{1.38254954376}{6.4516 \times 10^{- 3}} (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{p o u n d a l}{s q u a r e i n c h})

Insert known values =>

1.0 \times 1.01325 \times 10^{5} \times (p a s c a l) = x \times \frac{1.38254954376}{6.4516 \times 10^{- 3}} \times (p a s c a l)

Or

1.0 \cdot 1.01325 \times 10^{5} \cdot (P a) = x \cdot \frac{1.38254954376}{6.4516 \times 10^{- 3}} \cdot (P a)

Cancel SI units

1.0 \times 1.01325 \times 10^{5} \cdot (P a) = x \times \frac{1.38254954376}{6.4516 \times 10^{- 3}} \times (P a)

Conversion Equation

1.01325 \times 10^{5} = x \times \frac{1.38254954376}{6.4516 \times 10^{- 3}}

Switch sides

x \times \frac{1.38254954376}{6.4516 \times 10^{- 3}} = 1.01325 \times 10^{5}

Isolate

x

Multiply both sides by

(\frac{6.4516 \times 10^{- 3}}{1.38254954376})

x \times \frac{1.38254954376}{6.4516 \times 10^{- 3}} \times \frac{6.4516 \times 10^{- 3}}{1.38254954376} = 1.01325 \times 10^{5} \times \frac{6.4516 \times 10^{- 3}}{1.38254954376}

Cancel

x \times \frac{1.38254954376 \times 6.4516 \times 10^{- 3}}{6.4516 \times 10^{- 3} \times 1.38254954376} = 1.01325 \times {10^{5}}^{10^{2}} \times \frac{6.4516 \times 10^{- 3}}{1.38254954376}

Simplify

x = \frac{1.01325 \times 10^{2} \times 6.4516}{1.38254954376}

Solve

x

x \approx 472.82816949 \approx 4.7283 \times 10^{2}

Conversion Equation

1.0 (a t m o s p h e r e) \approx 4.7283 \times 10^{2} (\frac{p o u n d a l}{s q u a r e i n c h})

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