Cybrdyke, I stand corrected. I used a formula from a lighting engineer that was as follows:
Info needed:
Square footage of the shop LxW
The Lumens per Fixture
Coefficient of usage (.65)
Light Loss Factor (.75)
SF x Footcandles required = Minimum lumens needed
Minimum lumens needed x 1.4 = Additional lumens required to obtain
Minimum Lumens Needed + Additional Required = Total Lumens
Total Lumens / Lumens per fixture = Number of fixtures
HEHE and I already see my mistake in my plan.
I will need about 14 fixtures to obtain 75 footcandles per SF @ 5700 lumens per fixture.
This is probably overkill for what I actually would actually need since I do have a good amount of natural light as well as task lighting.
All of the above is still an attempt to divide square footage by lumens of a light source to determine foot candles. It doesn't work. Sorry to tell you that. No disrespect to the engineer.
Take a 1 foot by 1 foot space. (1 square foot). Now put a 100 lumen light bulb in the ceiling. Would you say that's 100 lumens per square foot?
Now raise the walls of that space by (hmm....pick a ridiculous number....) 100 feet. You still have a space that's 1 square foot, and you still have a 100 lumen bulb, although now it's 10 stories high. Do you still have the same amount of light on the floor? Nope.
Now, bring those walls back down to normal height again. But change the 100 lumen bulb to a spot light. It's still 100 lumens per square foot. Now you have a bright spot on the floor, but the rest of the floor is dark.
Now, change that bulb to an uplight and bounce the light off the ceiling. Do you still have 100 lumens per square foot? Yep. Do you still have the same amount of light on the floor? Nope.
I can go on, but you get the point.
The amount of lumens produced by a light source cant be used to determine foot candles in a space because you dont have any idea where all that light is going. It's bouncing all over the place. 50% off the ceiling, 80% off the walls, 20% off the floor (ymmv). Hopefully, some of it goes where it's wanted/needed. That's the job of the fixture engineer. The spacing and placement is the job of the lighting designer.
Of course, you can guesstimate it. To me, 14 fixtures that are 5700 lumens each sounds like too much in a 21x21. What you need to do to be sure is to have someone do a layout for you. How 'bout the person that is selling you those fixtures? He/she should know all about the photometrics and utilization of their own fixture.
Hope that wasn't rant-ish. Just tryin' to help....
CD