Those two pressure vessels are highly engineered and are wrapped with materials with pretty good tensile strength. Also, they’re made out of materials (fabric and rubber) that absorb a decent amount of energy when they tear and that don’t fragment. And the whole assembly usually depressurizes slowly.
Having personally blown up beverage bottles by overpressurizing them (be very very careful doing this!), when they go, they go violently.
I've blown up beverage bottles for fun. Hooking an air compressor to a 2L bottle and exploding it makes a satisfyingly loud boom.
*We had a valve on the air line so we could be at a safe distance when pressurizing. Be very careful. It's unpredictable exactly at which point they'll blow. Sometimes they hold full pressure for a couple seconds and then go.*
When we did it, it always went off on its own. It's been a long time since I did it, but I think the longest it took would've been on the order of 30 seconds. Really makes a person jump when it finally goes.
Because the danger posed by a fairly low energy pressure vessel is highly related to it's failure mode. That's why OSHA has rules about what compressed air pipes can be made of--it's not about the pressure resistance, it's about what will happen if one fails.
It's likewise why most military boom is mostly not actually boom. With artillery you obviously need a very tough case, but standard aircraft-dropped iron bombs are mostly that: iron. They don't need that kind of strength except specialized bunker-busters, they're built that way because for a given weight of bomb you'll do more damage by throwing bits of bomb casing from a smaller charge than from a bigger charge without the fragments.
If this is a modern bike, 80psi is way too high. 50psi is sufficient and will give you a more comfortable ride as well as higher efficiency on real-world surfaces.
80+psi is for old-style road bikes with narrow 23mm tires. Modern bikes (even road bikes for racing) don't use these any more; 28mm is the minimum these days.
Not to be pendantic (but to be pendantic) 80psi is the correct pressure for 28mm tires ridden briskly on good roads. At least according to ye olde Silca tire pressure calculator. Back in the day when folks ran 23mm tires they would typically run above 100psi (though that may not have been optimal...).
That calculator is wrong. Cycling people have been overinflating their tires for ages (as well as using too-narrow tires), with the assumption that the ground is perfectly smooth. Lower pressures yield higher efficiency (and better comfort) on rougher surfaces.
You're overinflating your tires. A lower pressure will increase your speed and efficiency unless you're riding in a velodrome. Here's a video about this:
The video's result for both tires they tested was peak efficiency at 5 bar. They had a really coarse sampling of a whole bar, so that works out to a pressure of 65–80 psi.