https://physicstasks.eu/929/centrifugal-force-on-the-equator I don't trust my math, but at the equator according to this link is 2.8 newtons.
I believe your math may be off by 2 decimal places. Did you forget that % means 1/100th? So for example 1% is 0.01 * x or 0.1% is 0.001 * x. Crunch that again, and I'm sure you'll see where your mistake was.
Arguably, not enough to make anything fly off according to math only...
The math doesn't lie. You made a mistake, but the math will show you whether or not you should expect water to fly off the Earth.
I can science that, you are using a lot of math for your arguments. But is any of these mathematical equations testable in the sense that we can create a scenario where the centrifugal force is strong enough to remove something from the earths surface? ITs simply not testable. IT can be observed but not tested. It is only possible to test with math. "Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality."
You are calling into question the distinction between mathematical models and empirical evidence. I can dig that. That said, we get our mathematical equations based on observations. We first observed that spinning objects feel an outward force. We measure the force and deduce the relationship between them. This gives us a mathematical equation. We test that equation up, down, and sideways to make sure it is accurate in every way we can. By now, we can be certain, the centripetal force equation is extremely accurate.
Next, we take it into the realm of the theoretical. Why should it match this equation? We do some calculus based on the equations of motion (which were arrived at using the same empirical methods) and we realize. Of course! The equation must work this way. In order to be consistent with all of our observations, the equations have to work like this.
If you wanted to, you could follow the history of the first scientists and mathematicians to make these discoveries. For me, it's enough that the equations work. They match up with any experiment I can do, so I trust them. In physics class we had to derive some of these, so I can trust that too.
The bottom line is simple. Sometimes, the real world can surprise you with unexpected results. You expected the water on the ball to experience much more force than it does. The real world isn't lying to you, your expectations of it were wrong. That's all. The force you calculate for the water (when you fix your math) will be tiny.
Still don't believe it? Measure it! That's right measure it. Travel to a few places on the Earth with a high-precision scale and prove it. Does an object really weigh a tiny bit less at the equator than it does up near the north pole? It'll cost you some airline tickets to try this out yourself, or you could hook up with some collaborators and test it by sending your scale and a test weight around the world. I know of a guy who is doing that if you want.