Convert square meter / second to square foot / minute
Learn how to convert
1
square meter / second to
square foot / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{square \text{ } meter}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{square \text{ } foot}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{square \text{ } meter}{second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{square \text{ } meter}{second}\right) = {\color{rgb(89,182,91)} 1.0\left(\dfrac{square \text{ } meter}{second}\right)} = {\color{rgb(89,182,91)} 1.0\left(\dfrac{m^{2}}{s}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{square \text{ } foot}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{9.290304 \times 10^{-2}}{60.0}\left(\dfrac{square \text{ } meter}{second}\right)} = {\color{rgb(125,164,120)} \dfrac{9.290304 \times 10^{-2}}{60.0}\left(\dfrac{m^{2}}{s}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{square \text{ } meter}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{square \text{ } foot}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(\dfrac{square \text{ } meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{9.290304 \times 10^{-2}}{60.0}}} \times {\color{rgb(125,164,120)} \left(\dfrac{square \text{ } meter}{second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m^{2}}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{9.290304 \times 10^{-2}}{60.0}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m^{2}}{s}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m^{2}}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{9.290304 \times 10^{-2}}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m^{2}}{s}\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times \dfrac{9.290304 \times 10^{-2}}{60.0}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times \dfrac{9.290304 \times 10^{-2}}{60.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{9.290304 \times 10^{-2}}{60.0} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{60.0}{9.290304 \times 10^{-2}}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{9.290304 \times 10^{-2}}{60.0} \times \dfrac{60.0}{9.290304 \times 10^{-2}} = 1.0 \times \dfrac{60.0}{9.290304 \times 10^{-2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{9.290304}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}} \times {\color{rgb(166,218,227)} \cancel{60.0}}}{{\color{rgb(166,218,227)} \cancel{60.0}} \times {\color{rgb(255,204,153)} \cancel{9.290304}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}} = 1.0 \times \dfrac{60.0}{9.290304 \times 10^{-2}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{60.0}{9.290304 \times 10^{-2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-2}}\text{ can be rewritten to }10^{2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{2} \times 60.0}{9.290304}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx645.834625\approx6.4583 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{square \text{ } meter}{second}\right)\approx{\color{rgb(20,165,174)} 6.4583 \times 10^{2}}\left(\dfrac{square \text{ } foot}{minute}\right)\)
