Convert parsec to linear meter
Learn how to convert
1
parsec to
linear meter
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(parsec\right)={\color{rgb(20,165,174)} x}\left(linear \text{ } meter\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(parsec\right) = {\color{rgb(89,182,91)} 3.08567400801506 \times 10^{16}\left(meter\right)} = {\color{rgb(89,182,91)} 3.08567400801506 \times 10^{16}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(linear \text{ } meter\right) = {\color{rgb(125,164,120)} 1.0\left(meter\right)} = {\color{rgb(125,164,120)} 1.0\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(parsec\right)={\color{rgb(20,165,174)} x}\left(linear \text{ } meter\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.08567400801506 \times 10^{16}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.08567400801506 \times 10^{16}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.08567400801506 \times 10^{16}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(3.08567400801506 \times 10^{16} = {\color{rgb(20,165,174)} x} \times 1.0\)
\(\text{Simplify}\)
\(3.08567400801506 \times 10^{16} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 3.08567400801506 \times 10^{16}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx3.085674008 \times 10^{16}\approx3.0857 \times 10^{16}\)
\(\text{Conversion Equation}\)
\(1.0\left(parsec\right)\approx{\color{rgb(20,165,174)} 3.0857 \times 10^{16}}\left(linear \text{ } meter\right)\)
