After some research, it turns out the flow rate can't be calculated just from the info given. There are too many variables:
Length of pipe, is pipe straight, material of pipe, surface area of source, depth of source, constrictions such as plug hole grill.
I am reliably informed that the best way to find out is to get a 25ltr plastic container, fill the bath so as to get maximum pressure, put your 38mm pipe into the container and pull out the plug, then time how long it takes in seconds to fill the container. That will give you 25litres in "x" seconds, devide 25 by "x" and you have your flow rate in litres per second, x 60 for per minute, x 60 again for per hour, then convert that to gallons if you like, but most small pumps these days are measured in litres per minute. But then you are getting on a bit, so gallons would be easier for you oldies
