Convert quadrant to cable length
Learn how to convert
1
quadrant to
cable length
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(quadrant\right)={\color{rgb(20,165,174)} x}\left(cable \text{ } length\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(quadrant\right) = {\color{rgb(89,182,91)} 10001965.7293\left(meter\right)} = {\color{rgb(89,182,91)} 10001965.7293\left(m\right)}\)
\(\text{Right side: 1.0 } \left(cable \text{ } length\right) = {\color{rgb(125,164,120)} 185.2\left(meter\right)} = {\color{rgb(125,164,120)} 185.2\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(quadrant\right)={\color{rgb(20,165,174)} x}\left(cable \text{ } length\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10001965.7293} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 185.2}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10001965.7293} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 185.2} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10001965.7293} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 185.2} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(10001965.7293 = {\color{rgb(20,165,174)} x} \times 185.2\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 185.2 = 10001965.7293\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{185.2}\right)\)
\({\color{rgb(20,165,174)} x} \times 185.2 \times \dfrac{1.0}{185.2} = 10001965.7293 \times \dfrac{1.0}{185.2}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{185.2}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{185.2}}} = 10001965.7293 \times \dfrac{1.0}{185.2}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10001965.7293}{185.2}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx54006.294435\approx5.4006 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(quadrant\right)\approx{\color{rgb(20,165,174)} 5.4006 \times 10^{4}}\left(cable \text{ } length\right)\)
