Say you can get a family of four and put them in a TEU comfortably (if a little awkwardly) and the 'small cargo pod' is 4,050 TEU (actually about 4,054.59) with an 'evacuation pod' you could fit 16,200 evacuees*.
A Class F shuttle can seat 6 people not including the pilot, so our 4x shuttles could carry 24 evacuees simultaneously, so it'd take 675 two way trips to carry an entire evacuee group up to the ship and assuming there's a turnaround of 30 minutes that'd be 337.5 hours or 14.06 days (of course, we've also got transporters but they're probably only really rated for quick turnaround mass beaming for crew evacuation purposes so they'd have a minimal effect).
Assuming a paired up Newton carries 12x shuttles their compliment could carry 72 simultaneously, which would bring the number of trips needed down to 168.75 trips (rounding up for simplicity), or 84.5 hours/3.58 days.
A drop in the bucket for a developed world or colony, but for many of the smaller ones easily enough to make a big difference.
*The Galaxy class has a stated capacity of 15,000 for comparison
A Class F shuttle can seat 6 people not including the pilot, so our 4x shuttles could carry 24 evacuees simultaneously, so it'd take 675 two way trips to carry an entire evacuee group up to the ship and assuming there's a turnaround of 30 minutes that'd be 337.5 hours or 14.06 days (of course, we've also got transporters but they're probably only really rated for quick turnaround mass beaming for crew evacuation purposes so they'd have a minimal effect).
Assuming a paired up Newton carries 12x shuttles their compliment could carry 72 simultaneously, which would bring the number of trips needed down to 168.75 trips (rounding up for simplicity), or 84.5 hours/3.58 days.
A drop in the bucket for a developed world or colony, but for many of the smaller ones easily enough to make a big difference.
*The Galaxy class has a stated capacity of 15,000 for comparison