enclosed hydroponic system

[Nurse]

I am building an enclosed hydroponic system and am trying to anticipate whether it will work. I bought an extra large rubbermaid storage bin for $16.99 at my local Home Base store. I placed some plastic rectangular cubes inside and have set some baskets with growing cherry tomato plants in gro rocks on the cubes. The tomatoe plants are long enough that the tops stick out of some cutouts that I made along the edge of the lid. This way I can take the lid on and off without lifting the plants. The pump, tubing and spray nozzles are all inside the storage bin. The spray nozzles are low pressure 180 degree nozzles designed for drip irrigation systems but they seem to work well enough to cover the grow rocks inside the baskets. The plastic bin holds about 15gal of water and the pump turns on for 30 min and off for 30 min during the day and off all night. Do you think I might have since the roots and about 18 inches of plant stem are always inside the storage bin?