Convert foot / square hour to meter / square hour
Learn how to convert
1
foot / square hour to
meter / square hour
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{foot}{square \text{ } hour}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{meter}{square \text{ } hour}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{meter}{square \text{ } second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{foot}{square \text{ } hour}\right) = {\color{rgb(89,182,91)} \dfrac{0.3048}{1.296 \times 10^{7}}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(89,182,91)} \dfrac{0.3048}{1.296 \times 10^{7}}\left(\dfrac{m}{s^{2}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{meter}{square \text{ } hour}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{1.296 \times 10^{7}}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{1.296 \times 10^{7}}\left(\dfrac{m}{s^{2}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{foot}{square \text{ } hour}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{meter}{square \text{ } hour}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{0.3048}{1.296 \times 10^{7}}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{1.296 \times 10^{7}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{square \text{ } second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{0.3048}{1.296 \times 10^{7}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s^{2}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{1.296 \times 10^{7}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s^{2}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{0.3048}{1.296 \times 10^{7}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s^{2}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{1.296 \times 10^{7}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s^{2}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{0.3048}{1.296 \times 10^{7}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{1.296 \times 10^{7}}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{0.3048}{{\color{rgb(255,204,153)} \cancel{1.296}} \times {\color{rgb(99,194,222)} \cancel{10^{7}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.296}} \times {\color{rgb(99,194,222)} \cancel{10^{7}}}}\)
\(\text{Simplify}\)
\(0.3048 = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 0.3048\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 0.3048 = 3.048 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{foot}{square \text{ } hour}\right) = {\color{rgb(20,165,174)} 3.048 \times 10^{-1}}\left(\dfrac{meter}{square \text{ } hour}\right)\)
