Convert gram / square foot to pound / square foot

Learn how to convert 1 gram / square foot to pound / square foot 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 (\frac{p o u n d}{s q u a r e f o o t})

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 (\frac{p o u n d}{s q u a r e f o o t}) = \frac{4.4482216152605}{9.290304 \times 10^{- 2}} (p a s c a l) = \frac{4.4482216152605}{9.290304 \times 10^{- 2}} (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 (\frac{p o u n d}{s q u a r e f o o t})

Insert known values =>

1.0 \times \frac{9.80665 \times 10^{- 1}}{9.290304} \times (p a s c a l) = x \times \frac{4.4482216152605}{9.290304 \times 10^{- 2}} \times (p a s c a l)

Or

1.0 \cdot \frac{9.80665 \times 10^{- 1}}{9.290304} \cdot (P a) = x \cdot \frac{4.4482216152605}{9.290304 \times 10^{- 2}} \cdot (P a)

Cancel SI units

1.0 \times \frac{9.80665 \times 10^{- 1}}{9.290304} \cdot (P a) = x \times \frac{4.4482216152605}{9.290304 \times 10^{- 2}} \times (P a)

Conversion Equation

\frac{9.80665 \times 10^{- 1}}{9.290304} = x \times \frac{4.4482216152605}{9.290304 \times 10^{- 2}}

Cancel factors on both sides

Cancel factors

\frac{9.80665 \times 10^{- 1}}{9.290304} = x \times \frac{4.4482216152605}{9.290304 \times 10^{- 2}}

Simplify

9.80665 \times 10^{- 1} = x \times \frac{4.4482216152605}{10^{- 2}}

Switch sides

x \times \frac{4.4482216152605}{10^{- 2}} = 9.80665 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{10^{- 2}}{4.4482216152605})

x \times \frac{4.4482216152605}{10^{- 2}} \times \frac{10^{- 2}}{4.4482216152605} = 9.80665 \times 10^{- 1} \times \frac{10^{- 2}}{4.4482216152605}

Cancel

x \times \frac{4.4482216152605 \times 10^{- 2}}{10^{- 2} \times 4.4482216152605} = 9.80665 \times 10^{- 1} \times \frac{10^{- 2}}{4.4482216152605}

Simplify

x = \frac{9.80665 \times 10^{- 1} \times 10^{- 2}}{4.4482216152605}

Solve

x

x \approx 0.0022046226 \approx 2.2046 \times 10^{- 3}

Conversion Equation

1.0 (\frac{g r a m}{s q u a r e f o o t}) \approx 2.2046 \times 10^{- 3} (\frac{p o u n d}{s q u a r e f o o t})

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