how do i calculate the force required to pull a 5 ton pipe along 10 idle pipe converyors, assuming that the pipe will force the rotator units to turn as the pipe is pulled, therefore building up very slight momentum? I have no idea where to start??

Start with F=MA IOW force = mass times acceleration or, for the rollers torque = J alpha IOW torque equals polar moment times angular acceleration also torque equals force times the radius at which it acts (this allows you to add the linear load of the pipe to the angular load of the rollers) Polar moment about an axis is the integral of mass time the distance to the axis squared, ove rthe entire volume of the mass. Go to a physics book or a dynamics book. Make sure to account for friction and other minor losses.