Convert pascal • second to gram / (foot • hour)
Learn how to convert
1
pascal • second to
gram / (foot • hour)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(pascal \times second\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gram}{foot \times hour}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal \times second\right)\)
\(\text{Left side: 1.0 } \left(pascal \times second\right) = {\color{rgb(89,182,91)} 1.0\left(pascal \times second\right)} = {\color{rgb(89,182,91)} 1.0\left(Pa \cdot s\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{gram}{foot \times hour}\right) = {\color{rgb(125,164,120)} 9.11344415281423 \times 10^{-7}\left(pascal \times second\right)} = {\color{rgb(125,164,120)} 9.11344415281423 \times 10^{-7}\left(Pa \cdot s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(pascal \times second\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gram}{foot \times hour}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(pascal \times second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 9.11344415281423 \times 10^{-7}}} \times {\color{rgb(125,164,120)} \left(pascal \times second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(Pa \cdot s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 9.11344415281423 \times 10^{-7}} \cdot {\color{rgb(125,164,120)} \left(Pa \cdot s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa \cdot s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 9.11344415281423 \times 10^{-7}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa \cdot s\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 9.11344415281423 \times 10^{-7}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 9.11344415281423 \times 10^{-7}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 9.11344415281423 \times 10^{-7} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{9.11344415281423 \times 10^{-7}}\right)\)
\({\color{rgb(20,165,174)} x} \times 9.11344415281423 \times 10^{-7} \times \dfrac{1.0}{9.11344415281423 \times 10^{-7}} = 1.0 \times \dfrac{1.0}{9.11344415281423 \times 10^{-7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{9.11344415281423}} \times {\color{rgb(99,194,222)} \cancel{10^{-7}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{9.11344415281423}} \times {\color{rgb(99,194,222)} \cancel{10^{-7}}}} = 1.0 \times \dfrac{1.0}{9.11344415281423 \times 10^{-7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{9.11344415281423 \times 10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{7}}{9.11344415281423}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx1097280\approx1.0973 \times 10^{6}\)
\(\text{Conversion Equation}\)
\(1.0\left(pascal \times second\right)\approx{\color{rgb(20,165,174)} 1.0973 \times 10^{6}}\left(\dfrac{gram}{foot \times hour}\right)\)
