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The formula to calculate Candela (cd) from Lumens (lm) is:
\[ I_v (\text{cd}) = \frac{\Phi_v (\text{lm})}{2\pi (1 - \cos(\theta / 2))} \]
Where:
Lumen (lm) is a unit of luminous flux, representing the total amount of light emitted by a source. Candela (cd) is a unit of luminous intensity, representing the power emitted by a light source in a particular direction. The conversion from lumens to candela depends on the angle over which the light is emitted.
Let's assume the following values:
Using the formula:
\[ I_v = \frac{1000}{2\pi (1 - \cos(30 / 2))} \]
\[ I_v = \frac{1000}{2\pi (1 - \cos(15))} \]
\[ I_v = \frac{1000}{2\pi (1 - 0.9659)} \]
\[ I_v = \frac{1000}{2\pi \times 0.0341} \]
\[ I_v = \frac{1000}{0.214} \]
The Luminous Intensity (cd) is approximately 4674.74 cd.
| Lumens (lm) | Candela (cd) | Angle (degrees) |
|---|---|---|
| 1000 | 1,187.949 | 60 |
| 2000 | 2,375.897 | 60 |
| 3000 | 3,563.846 | 60 |
| 4000 | 4,751.795 | 60 |
| 5000 | 5,939.743 | 60 |
| 6000 | 7,127.692 | 60 |
| 7000 | 8,315.641 | 60 |
| 8000 | 9,503.589 | 60 |
| 9000 | 10,691.538 | 60 |
| 10000 | 11,879.487 | 60 |
| 11000 | 13,067.435 | 60 |
| 12000 | 14,255.384 | 60 |
| 13000 | 15,443.333 | 60 |
| 14000 | 16,631.281 | 60 |
| 15000 | 17,819.230 | 60 |
| 16000 | 19,007.179 | 60 |
| 17000 | 20,195.127 | 60 |
| 18000 | 21,383.076 | 60 |
| 19000 | 22,571.025 | 60 |
| 20000 | 23,758.973 | 60 |
| 21000 | 24,946.922 | 60 |
| 22000 | 26,134.871 | 60 |
| 23000 | 27,322.819 | 60 |
| 24000 | 28,510.768 | 60 |
| 25000 | 29,698.717 | 60 |
| 26000 | 30,886.665 | 60 |
| 27000 | 32,074.614 | 60 |
| 28000 | 33,262.563 | 60 |
| 29000 | 34,450.511 | 60 |
| 30000 | 35,638.460 | 60 |
| 31000 | 36,826.409 | 60 |
| 32000 | 38,014.357 | 60 |
| 33000 | 39,202.306 | 60 |
| 34000 | 40,390.255 | 60 |
| 35000 | 41,578.203 | 60 |
| 36000 | 42,766.152 | 60 |
| 37000 | 43,954.101 | 60 |
| 38000 | 45,142.049 | 60 |
| 39000 | 46,329.998 | 60 |
| 40000 | 47,517.947 | 60 |
| 41000 | 48,705.895 | 60 |
| 42000 | 49,893.844 | 60 |
| 43000 | 51,081.793 | 60 |
| 44000 | 52,269.741 | 60 |
| 45000 | 53,457.690 | 60 |
| 46000 | 54,645.639 | 60 |
| 47000 | 55,833.587 | 60 |
| 48000 | 57,021.536 | 60 |
| 49000 | 58,209.485 | 60 |
| 50000 | 59,397.433 | 60 |
| 51000 | 60,585.382 | 60 |
| 52000 | 61,773.331 | 60 |
| 53000 | 62,961.279 | 60 |
| 54000 | 64,149.228 | 60 |
| 55000 | 65,337.177 | 60 |
| 56000 | 66,525.125 | 60 |
| 57000 | 67,713.074 | 60 |
| 58000 | 68,901.023 | 60 |
| 59000 | 70,088.971 | 60 |
| 60000 | 71,276.920 | 60 |