What is most important? (Size, weight, or rigidity?)
Conduit of a particular size is less rigid than the same size pipe. Larger diameter tends to be more rigid than smaller diameter. Etc.
It's my understanding that the pole an anemometer will be mounted on should be "reasonably" rigid. I'm guessing that the 1" water pipe would be the most rigid, with the chain-link fence railing somewhat less rigid and the 1.25" conduit possibly the least rigid.
I will be mounting the pipe on a three foot vertical wall where the top of the front lower roof (low pitch) meets the top of the back upper roof (steeper pitch).
Kind of like this side view, albeit a slight pitch (left = lower) on the lower roof and less pitch on the upper roof:
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My theory on taking the pole down is to loosen the bolts on the two U-brackets , lift the pipe straight up several feet, set the bottom of the pipe down on the roof then walk the pipe down to horizontal position taking care to not damage the anemometer.
So, I don't think the heavy duty 1" water pipe (16 lbs + anemometer) would be too difficult to dismount, I'm sure the chain link rail pipe (8 lbs) would not be difficult at all and the conduit may not be rigid enough for operating use. I have to go to Home Depot and see and touch the pipes to get a feel for weight and rigidity, but always a good idea to ask other people's opinions.