Convert galileo to inch / square second
Learn how to convert
1
galileo to
inch / square second
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(galileo\right)={\color{rgb(20,165,174)} x}\left(\dfrac{inch}{square \text{ } second}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{meter}{square \text{ } second}\right)\)
\(\text{Left side: 1.0 } \left(galileo\right) = {\color{rgb(89,182,91)} 10^{-2}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(89,182,91)} 10^{-2}\left(\dfrac{m}{s^{2}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{inch}{square \text{ } second}\right) = {\color{rgb(125,164,120)} 2.54 \times 10^{-2}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(125,164,120)} 2.54 \times 10^{-2}\left(\dfrac{m}{s^{2}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(galileo\right)={\color{rgb(20,165,174)} x}\left(\dfrac{inch}{square \text{ } second}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-2}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.54 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{square \text{ } second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s^{2}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.54 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s^{2}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s^{2}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.54 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s^{2}}\right)}}\)
\(\text{Conversion Equation}\)
\(10^{-2} = {\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-2}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancel{10^{-2}}} = {\color{rgb(20,165,174)} x} \times 2.54 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 2.54\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.54 = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.54}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.54 \times \dfrac{1.0}{2.54} = \times \dfrac{1.0}{2.54}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.54}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.54}}} = \dfrac{1.0}{2.54}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{2.54}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.3937007874\approx3.937 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(galileo\right)\approx{\color{rgb(20,165,174)} 3.937 \times 10^{-1}}\left(\dfrac{inch}{square \text{ } second}\right)\)
