Please tell me how to calculate the backwash velocity in rapid sand filter and how many holes are needed for a backwash flow rate of 875 m3/hr. In laterals.
In your specific application you determine the diameter of the holes in the filter laterals depending on the filter media that you are going to use.
Once that has been determined make a simple calculation D (internal diameter of your discharge pipe or pipes)/ d(diameter of holes in the filter laterals).
The answer will give you the number of holes you require in the laterals.You can allow for more holes to allow for the frictional & turbulence losses in the pipe.