As a rough estimate, for a color camera, you'll need about 7 lux per fps at f/2 and 360 degree shutter.
So at 4000fps, you'd need about 4000fps * 7 = 28,000 lux. If you want to run f/4, you'll need 4x as much light, so 110,000 lux which is about noon day sunlight
I'm afraid you'll need far more light than those Manfrotto lights will provide, unless you're putting them right next to the subject. At 1m (3') distance you'd need 18 of those lights for f/2 4000fps
Thanks a lot for that estimate, much appreciated!
I will try to change my preorder to a monochrome version then to make it easier to light the scene, then I can stop caring about CRI too, perhaps there are some cheaper/brighter light sources if that is a non-issue, will need to google a bit...
I would like to run with less than 360 shutter too (I want to use the camera for archery shot analysis primarily, want to see the arrow clearly as it leaves the bow).
I can put the lights slightly less than 1m from the archer, but not closer (need some safety distance).
Perhaps it is ok with som gain as well, I haven't seen enough comparable footage with/without gain yet to know if it is ok.