Convert lumen / (square foot • steradian) to candle / square foot
Learn how to convert
1
lumen / (square foot • steradian) to
candle / square foot
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{lumen}{square \text{ } foot \times steradian}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{candle}{square \text{ } foot}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{candela}{square \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{lumen}{square \text{ } foot \times steradian}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{9.290304 \times 10^{-2}}\left(\dfrac{candela}{square \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{9.290304 \times 10^{-2}}\left(\dfrac{cd}{m^{2}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{candle}{square \text{ } foot}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{9.290304 \times 10^{-2}}\left(\dfrac{candela}{square \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{9.290304 \times 10^{-2}}\left(\dfrac{cd}{m^{2}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{lumen}{square \text{ } foot \times steradian}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{candle}{square \text{ } foot}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{9.290304 \times 10^{-2}}} \times {\color{rgb(89,182,91)} \left(\dfrac{candela}{square \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{9.290304 \times 10^{-2}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{candela}{square \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{cd}{m^{2}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{cd}{m^{2}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{9.290304 \times 10^{-2}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{cd}{m^{2}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{9.290304 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{cd}{m^{2}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{9.290304 \times 10^{-2}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{9.290304 \times 10^{-2}}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{{\color{rgb(99,194,222)} \cancel{9.290304}} \times {\color{rgb(166,218,227)} \cancel{10^{-2}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{{\color{rgb(99,194,222)} \cancel{9.290304}} \times {\color{rgb(166,218,227)} \cancel{10^{-2}}}}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 1.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{lumen}{square \text{ } foot \times steradian}\right) = {\color{rgb(20,165,174)} 1}\left(\dfrac{candle}{square \text{ } foot}\right)\)
