Convert moment to year
Learn how to convert
1
moment to
year
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(moment\right)={\color{rgb(20,165,174)} x}\left(year\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(moment\right) = {\color{rgb(89,182,91)} 90.0\left(second\right)} = {\color{rgb(89,182,91)} 90.0\left(s\right)}\)
\(\text{Right side: 1.0 } \left(year\right) = {\color{rgb(125,164,120)} 31556952.0\left(second\right)} = {\color{rgb(125,164,120)} 31556952.0\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(moment\right)={\color{rgb(20,165,174)} x}\left(year\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 90.0} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 31556952.0}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 90.0} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 31556952.0} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 90.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 31556952.0} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(90.0 = {\color{rgb(20,165,174)} x} \times 31556952.0\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 31556952.0 = 90.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{31556952.0}\right)\)
\({\color{rgb(20,165,174)} x} \times 31556952.0 \times \dfrac{1.0}{31556952.0} = 90.0 \times \dfrac{1.0}{31556952.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{31556952.0}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{31556952.0}}} = 90.0 \times \dfrac{1.0}{31556952.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{90.0}{31556952.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.000002852\approx2.852 \times 10^{-6}\)
\(\text{Conversion Equation}\)
\(1.0\left(moment\right)\approx{\color{rgb(20,165,174)} 2.852 \times 10^{-6}}\left(year\right)\)
