Convert tonne / square foot to atmosphere
Learn how to convert
1
tonne / square foot to
atmosphere
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{tonne}{square \text{ } foot}\right)={\color{rgb(20,165,174)} x}\left(atmosphere\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{tonne}{square \text{ } foot}\right) = {\color{rgb(89,182,91)} \dfrac{8896.443230521}{9.290304 \times 10^{-2}}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{8896.443230521}{9.290304 \times 10^{-2}}\left(Pa\right)}\)
\(\text{Right side: 1.0 } \left(atmosphere\right) = {\color{rgb(125,164,120)} 9.80665 \times 10^{5}\left(pascal\right)} = {\color{rgb(125,164,120)} 9.80665 \times 10^{5}\left(Pa\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{tonne}{square \text{ } foot}\right)={\color{rgb(20,165,174)} x}\left(atmosphere\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{8896.443230521}{9.290304 \times 10^{-2}}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 9.80665 \times 10^{5}}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{8896.443230521}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 9.80665 \times 10^{5}} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{8896.443230521}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 9.80665 \times 10^{5}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{8896.443230521}{9.290304 \times 10^{-2}} = {\color{rgb(20,165,174)} x} \times 9.80665 \times 10^{5}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 9.80665 \times 10^{5} = \dfrac{8896.443230521}{9.290304 \times 10^{-2}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{9.80665 \times 10^{5}}\right)\)
\({\color{rgb(20,165,174)} x} \times 9.80665 \times 10^{5} \times \dfrac{1.0}{9.80665 \times 10^{5}} = \dfrac{8896.443230521}{9.290304 \times 10^{-2}} \times \dfrac{1.0}{9.80665 \times 10^{5}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{9.80665}} \times {\color{rgb(99,194,222)} \cancel{10^{5}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{9.80665}} \times {\color{rgb(99,194,222)} \cancel{10^{5}}}} = \dfrac{8896.443230521 \times 1.0}{9.290304 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}} \times 9.80665 \times {\color{rgb(255,204,153)} \cancelto{10^{3}}{10^{5}}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{8896.443230521}{9.290304 \times 9.80665 \times 10^{3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3} \times 8896.443230521}{9.290304 \times 9.80665}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0976485527\approx9.7649 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{tonne}{square \text{ } foot}\right)\approx{\color{rgb(20,165,174)} 9.7649 \times 10^{-2}}\left(atmosphere\right)\)
