Same rifle different calibers. In general will the .177 out penetrate a .22

At what speeds? Foot pounds of energy is depended upon the speed and the mass of the projectile generally, the faster the pellet the more foot pounds of energy. Formula is foot per second times foot per second times grains divided by 450 240. Velocity function is a square mass or weight is a singular unit.

I in an experimental scenario where everything else is equal, the 177 will penetrate further than the 22 simply because it has less frontal area. If you can make everything else equal, the smaller pallet will penetrate further due to less frontal area. Getting the other variables the same as the real trick.
 
Lets make a simple calculation:

A goose weights about 3 kgs.

A goose has each wing of about .27 CMS wide and 1 mt. long.

That means that to lift 3 kgs, you need to displace some cubic cms of air.

That means that a cubic cm. of air should have a weight that should be constant.

Weight of pellet, irrespective of gravity, is important to keep speed along distance, because of the weight of air that is fighting with.

So, with the same speed, a heavier pellet should get farther away with more power.
 
I think the answer that a 177 will out penetrate a 22 at the same energy, and with the same design of projectile is right but I haven't had the guns to try this exactly, I do not have a 177 except for a pump up Crosman pistol and it is really low energy - no way to make my 22 that low. But my Prod, my 22, will penetrate as far in wet paper as my 25s despite much higher energy in the 25s IF I USE AN EXPANDING PROJECTILE IN THE 25s. Sorry for the caps but many seem to assume that you can get expansion without giving up penetration and I am confident this is not the case. My P35, when shooting H&N 27 grain slugs, will penetrate about 2 inches into wet paper just like my little Prod shooting H&N FTT domed pellets. The P35 is 35+fpe, the Prod 16-17 fpe. So roughly twice the energy for equivalent penetration. With a FTT domed pellet, the P35 will penetrate at least twice as far.

A 39 grain slug in my P35 doesn't expand so it penetrates about like a domed pellet.

I also tested a knockout slug from my Avenger, about 45 fpe, and it also penetrated about like domed pellets from my Prod. So nearly 3X the energy.

I like the ballistic coefficient of slugs but I do not like the hollow point design that predominates and the somewhat uncertain penetration/expansion. For targets where very little penetration is needed (i.e. small birds) they should work great. But even for a squirrel, I am not sure I want to use them. Maybe my 25s which are "overkill" for squirrels which is true with domed pellets, maybe not so much from a penetration standpoint with slugs. But if they do not expand they will penetrate plenty far enough and if they do, the hole will be bigger - but 25 caliber if plenty big enough.

Anyway, long rambling point to say projectile design is a big deal with respect to penetration.


 
They will displace the same amount of tissue. The smaller caliber needs to penetrate deeper in order to displace the same volume.

Think of boats that have equal weight. A larger boat will float higher and shallower. The smaller boat will float deeper. Both boats will displace the same exact volume of water.

Of course, in order to float the ship has to weight less than the water it displace.

Once I was negotiating an agreement in NY, in the hotel I watched a movie in slow motion on whiich a goose on water was flapping to fly. Then I understood that the mechanics are similar of the one of a boat to float: "Displacement of the weight of a fluid".

There was another day in which my eyes opened as a plate: The day on which I realized that the phases of the moon are not related with the shadow of the earth on the moon, but with the angle of the sun lighting the moon and seen from the earth. Might had been obvious for anyone else,but for me that was a revelation.