There is nothing wrong with spinning a high cadence on hills. A lot of people prefer to do that if the gradient is such that they can. There's no real problem with spinning high cadences at all, unless you start bouncing around a lot. At first, though you may be slower doing that than having lower rpms in a harder gear, but the trick to going fast is learning to spin fast in a small cog.You are much more likely to blow up on a longer climb having a low cadence, because your muscles may fatigue faster. However, you could also go too high for a long hill with your current fitness level. Really high cadences may start to burn in a different way, and it puts more stress on you cardiovascularly. This is something you can improve more with training than using harder gears and lower cadences on long hills, just because this is an endurance sport and so it's going to be harder to work on sustaining more strength over long periods of time. With longer hills, you probably just want to pick a sustainable tempo. So this may not be the quick spin up a short gradual hill technique or the power up a short steep hill technique but something in the middle. Steady, sustainable watts maybe at 80-90rpms.
There can be a downside to having too low of a cadence, because the kind of resistance you'd have below say 70rpms can really strain the knees if done for long periods (for some people, at all). It can also cause your form to break down over time, and then you may be tensing up your shoulders or doing other things that would cause discomfort.
Don't worry about all the shifting you may have to do on the terrain on your commute. That's why you have gears.



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You are much more likely to blow up on a longer climb having a low cadence, because your muscles may fatigue faster. However, you could also go too high for a long hill with your current fitness level. Really high cadences may start to burn in a different way, and it puts more stress on you cardiovascularly. This is something you can improve more with training than using harder gears and lower cadences on long hills, just because this is an endurance sport and so it's going to be harder to work on sustaining more strength over long periods of time. With longer hills, you probably just want to pick a sustainable tempo. So this may not be the quick spin up a short gradual hill technique or the power up a short steep hill technique but something in the middle. Steady, sustainable watts maybe at 80-90rpms.
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It'll make you a more efficient pedaler all the time.

