I think you mean the "Rotational mass moment of Inertia" = the sum of the disk's (impeller) and the water's (or other product), contained in the volute around the disk, individual rotational mass moments. Rotational mass moment of inertia describes a mass' resistance to changes in rotational speed. In the case of a pump, the acceleration when starting the pump from 0 rpm to operating rpm, or once rotating, the resistance of the pump to a change in rpm, or the deceleration of the pump's rpm when stopping. In each case a specific amount of Torque must be applied to that mass for a certain length of time to effect a given change in rpm.
The customer wants the pump manufacturer to provide the rotational moment of inertia data for the pump. I would also want that data for the coupling and motor too.
The customer probably wants to have that data to do a hydraulic analysis for start-up and shut-down conditions.