buildng a new table need help with the pump size

Ok here's my setup and I need to know what size pump I need for this style of setup these are the sprayer tubes that are inside of the 4" pipe and this is the manifold for the sprayers.
the reservoir is a 55 gallon drum and the sprayer pipes are 4'6" long and 1/2"in diameter

Would you be ok with posting some materials used? I've been researching on this particular setup and I reallyyyyyy want to make it. I've been stuck with trial and error using tote tubs to see how different pumps would work and stuff and the only real money ive spent is on lights, nutes, air pump, bubble stones, and air hose. Before I go any further, and if u didnt mind, Id rather know exactly what materials and how many of each it takes to make this same setup.

yeah hey i have another link or journal how ever you want to call ithere it is

https://www.rollitup.org/indoor-growing/366867-got-new-batch.html