Convert ångström to fall
Learn how to convert
1
ångström to
fall
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(ångström\right)={\color{rgb(20,165,174)} x}\left(fall\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(ångström\right) = {\color{rgb(89,182,91)} 10^{-10}\left(meter\right)} = {\color{rgb(89,182,91)} 10^{-10}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(fall\right) = {\color{rgb(125,164,120)} 5.67\left(meter\right)} = {\color{rgb(125,164,120)} 5.67\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ångström\right)={\color{rgb(20,165,174)} x}\left(fall\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-10}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 5.67}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{-10}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 5.67} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-10}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 5.67} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(10^{-10} = {\color{rgb(20,165,174)} x} \times 5.67\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 5.67 = 10^{-10}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{5.67}\right)\)
\({\color{rgb(20,165,174)} x} \times 5.67 \times \dfrac{1.0}{5.67} = 10^{-10} \times \dfrac{1.0}{5.67}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{5.67}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{5.67}}} = 10^{-10} \times \dfrac{1.0}{5.67}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-10}}{5.67}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx1.7636684303 \times 10^{-11}\approx1.7637 \times 10^{-11}\)
\(\text{Conversion Equation}\)
\(1.0\left(ångström\right)\approx{\color{rgb(20,165,174)} 1.7637 \times 10^{-11}}\left(fall\right)\)
