Convert pound / square foot to pièze
Learn how to convert
1
pound / square foot to
pièze
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{pound}{square \text{ } foot}\right)={\color{rgb(20,165,174)} x}\left(pièze\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{pound}{square \text{ } foot}\right) = {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}\left(Pa\right)}\)
\(\text{Right side: 1.0 } \left(pièze\right) = {\color{rgb(125,164,120)} 10^{3}\left(pascal\right)} = {\color{rgb(125,164,120)} 10^{3}\left(Pa\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{pound}{square \text{ } foot}\right)={\color{rgb(20,165,174)} x}\left(pièze\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{3}}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{3}} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{3}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{4.4482216152605}{9.290304 \times 10^{-2}} = {\color{rgb(20,165,174)} x} \times 10^{3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{3} = \dfrac{4.4482216152605}{9.290304 \times 10^{-2}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{3} \times \dfrac{1.0}{10^{3}} = \dfrac{4.4482216152605}{9.290304 \times 10^{-2}} \times \dfrac{1.0}{10^{3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{3}}}} = \dfrac{4.4482216152605 \times 1.0}{9.290304 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}} \times {\color{rgb(255,204,153)} \cancelto{10}{10^{3}}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.4482216152605}{9.290304 \times 10.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.047880259\approx4.788 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{pound}{square \text{ } foot}\right)\approx{\color{rgb(20,165,174)} 4.788 \times 10^{-2}}\left(pièze\right)\)
