For example, is this a good climbing bike?
Can I have your general thoughts about the bike geometry? I know it is an aero frame but do you think it would be also good for climbing?
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This is not an especially aero bike, although it does have some aero-looking feature (which does not mean it was in fact aerodynamically optimized). There's also nothing about it that makes it inappropriate for climbing.
At the very high end of the bike business, many bike companies offer aero bikes and climbing bikes, the climbing bikes being lighter. But the UCI imposes a lower limit on weight (6.8 kg), and some companies are able to make aero-ish bikes that are right against that limit, so they have consolidated on a single high-end road model.
But even when climbing, an aero bike can confer more advantage than a light bike, so offering a "climbing bike" may be more about catering to rider perceptions than reality. Even a fairly big added weight won't slow you down that much on a climb.
Furthermore, very few of us are riding at such a high level that we can really take advantage of the weight savings of a "climbing bike"—or have pared away all the excess weight from our bodies.
The gearing looks to be a compact or subcompact chainring, and the rear cassette looks about a 28~30 tooth large. So its perfectly good gear config for climbing.
Riding up hills fast is all about weight, power and distribution of that weight. However, being a bit heavier means it takes a bit longer, you can still ride up hills. A 5/10/15 kg bike takes about 21.48 / 21.60 / 21.72 minutes to climb 330 metres over 10 km at 150W, for a total difference of 15 seconds according to http://bikecalculator.com/
Any bike beats no-bike.
Personally, geometry comes into it for me - a long seat post means steep hills are quite "front-lifty" so a well-sized frame helps.
As long as you find the bike comfortable, then it's a good bike for you. Climb hills when you have to or want to.
The saddle looks quite low for the size of the bike. Check if the saddle is really at the right height for the rider.
Rather short seat stays and a high bar position will shift the centre of mass aft. This could give quite some trouble climbing steep sections from the saddle. You spot this immediately when it feels almost as if your front tyre is lifting of the tarmac when pushing hard.
If neither is an issue, then your bike looks perfectly fine for climbing.
After most climbs there's a descend. Check brakes, quick releases, and your headset bearings before enjoying the speed down.
Edit: This answer the original question "What do you think of this bike". The question has been changed since then.
It looks like it's wrong size for its owner. The saddle is a bit low and tilted forward and the handlebars are too high. Personally I don't like that style of "ergo" bars because they don't allow me to reach forward when leaning down on drops. I'm not sure why the "aero" tubes would make it worse for climbing, but tilting the whole bike backwards doesn't really help with the handlebar position.