Because they do blink in general, but fast enough so that your eyes don’t notice it. The blink is due to the alternative current running through it. This current oscillates at the electrical network frequency (60Hz in France, i think 50Hz elsewhere), and whenever its value is far from 0 (be it in the positive or negative) is when the LED it powers shine the brighest (hence it happens 60*2 =120 times per second).
Now, i’m not 100% sure about this paragraph because it involves eye vision, but it seems to me, from the bits of studies i had involving that precise thing, what you see with your eyes, at every moment, is an average of all the lighting that came into your eye in the last 1/24th second (Which would be why if you shake your hand in front of your eyes, you see it at several positions at the same time).
So if you take a signal oscillating at 120Hz and take, at a given instant, its average value during the last 1/24th second, you’re gonna obtain sensibly the same value, no matter what instant you consider. Because 1/24th second is enough to contain several periods of a signal oscillating at 120Hz (because said signal has a period of 1/120th second). Hence when you take several periods, the moments when the signal is near 0, and the moments where it is far from 0, compensate each others, and the average value you get is sensibly always the same.
Which is why, with your bare eyes, the lighting seems constant and non-flickering. If it was powered with a current of lower frequency, you’d maybe see it flicker with your bare eyes.
When filming it with a camera, the camera proceeds differently. Say it films at 60 images per second. Every 1/60th second, it will take a photo. But to take that photo, it won’t expose its objective to light for that whole 1/60th second. Maybe less. Maybe it will expose itself for only half of it (1/120th second) and be shut during the other half. That time is called exposure time.
Well, this way, the camera might have exposure times that are small enough that they do not contain several periods of the 120Hz electrical signal. Take an exposure time of 1/240th second. It’s half of a period of that 120Hz electrical signal. That exposure time is too short to contain a whole period. So maybe sometimes that will correspond to a moment of the period where the electrical signal is around 0, and sometimes that will correspond to a moment of the period where that same signal is far from 0. In the first case, the LED will not be shining a lot on the image, and in the second case, it will. Hence, you will have frames where the LED will be shining bright, and others where it won’t. Hence the flickering on video.
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