Convert galileo to gal

Learn how to convert 1 galileo to gal step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(galileo\right)={\color{rgb(20,165,174)} x}\left(gal\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{meter}{square \text{ } second}\right)\)

\(\text{Left side: 1.0 } \left(galileo\right) = {\color{rgb(89,182,91)} 10^{-2}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(89,182,91)} 10^{-2}\left(\dfrac{m}{s^{2}}\right)}\)

\(\text{Right side: 1.0 } \left(gal\right) = {\color{rgb(125,164,120)} 10^{-2}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(125,164,120)} 10^{-2}\left(\dfrac{m}{s^{2}}\right)}\)

Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)

\(1.0\left(galileo\right)={\color{rgb(20,165,174)} x}\left(gal\right)\)

\(\text{Insert known values } =>\)

\(1.0 \times {\color{rgb(89,182,91)} 10^{-2}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-2}}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{square \text{ } second}\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s^{2}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s^{2}}\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s^{2}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s^{2}}\right)}}\)

\(\text{Conversion Equation}\)

\(10^{-2} = {\color{rgb(20,165,174)} x} \times 10^{-2}\)

Cancel factors on both sides

\(\text{Cancel factors}\)

\({\color{rgb(255,204,153)} \cancel{10^{-2}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-2}}}\)

\(\text{Simplify}\)

\(1.0 = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = 1.0\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x} = 1\)

\(\text{Conversion Equation}\)