This is a surface area thing.
Bigger tires would sink less.
Since you aren’t likely to replace your tires to go to the beach you can let some air out causing the part with contact to be slightly larger and increase surface area.
It’s easier if you think of it as a more extreme change.
Pretend your car tires are your feet at the beach.
Walk on your tip toes and see how far you sink down.
Now try it with a flat footed step. You will likely sink less
Same concept. Letting air out is sorta like walking flat footed but your weight didn’t change.
Latest Answers