Convert inch of mercury to poundal / square meter

Learn how to convert 1 inch of mercury to poundal / square meter step by step.

Calculation Breakdown

Set up the equation

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

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

(p a s c a l)

Left side: 1.0 (i n c h o f m e r c u r y) = 3386.388640341 (p a s c a l) = 3386.388640341 (P a)

Right side: 1.0 (\frac{p o u n d a l}{s q u a r e m e t e r}) = 1.38254954376 \times 10^{- 1} (p a s c a l) = 1.38254954376 \times 10^{- 1} (P a)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 3386.388640341 \times (p a s c a l) = x \times 1.38254954376 \times 10^{- 1} \times (p a s c a l)

Or

1.0 \cdot 3386.388640341 \cdot (P a) = x \cdot 1.38254954376 \times 10^{- 1} \cdot (P a)

Cancel SI units

1.0 \times 3386.388640341 \cdot (P a) = x \times 1.38254954376 \times 10^{- 1} \times (P a)

Conversion Equation

3386.388640341 = x \times 1.38254954376 \times 10^{- 1}

Switch sides

x \times 1.38254954376 \times 10^{- 1} = 3386.388640341

Isolate

x

Multiply both sides by

(\frac{1.0}{1.38254954376 \times 10^{- 1}})

x \times 1.38254954376 \times 10^{- 1} \times \frac{1.0}{1.38254954376 \times 10^{- 1}} = 3386.388640341 \times \frac{1.0}{1.38254954376 \times 10^{- 1}}

Cancel

x \times 1.38254954376 \times 10^{- 1} \times \frac{1.0}{1.38254954376 \times 10^{- 1}} = 3386.388640341 \times \frac{1.0}{1.38254954376 \times 10^{- 1}}

Simplify

x = \frac{3386.388640341}{1.38254954376 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 3386.388640341}{1.38254954376}

Solve

x

x \approx 24493.795941 \approx 2.4494 \times 10^{4}

Conversion Equation

1.0 (i n c h o f m e r c u r y) \approx 2.4494 \times 10^{4} (\frac{p o u n d a l}{s q u a r e m e t e r})

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