Centrifugal force is a pseudo force like this is a pseudo killer whale.
Just because it's "pseudo" or "fictitious" doesn't mean it's not real. ItIt's just means that it it's superficially similar toas legitimate a killer whale, but does not meet the definition proper whether it's called "pseudo killer whale" or "grey pickle whale". Through historical circumstance it got called "pseudo killer whale". Oh well.
Take some law, like Newton's second law:
$$ F = ma $$
This only holds in an inertial frame of reference, that is one that is not accelerating or rotating. By convention, most laws of mechanics are phrased in an intertial frame of reference because it eliminates complicating variables like:
- How fast is the merry-go-round spinning?
- How far from the center are you?
- Is it spinning at a constant or variable rate?
There are other forces that aren't in that equation, like gravity. If you hold a ball in front of you and release it, it doesn't stay put: it falls to the ground. It falls because the force of gravity accelerates it downwards at 9.8 m/s2. We understand that when things are near a massive object, we must add a "gravity force" to our calculations to accurately predict what happens.
When things are spinning or accelerating, we likewise must add a "centrifugal force" to the calculations. "Pseudo forces" or "fictitious forces" is the name for a category of forces that must be added in non-inertial reference frames. Don't worry about the name "pseudo force" any more than a biologist worries about the name "pseudo killer whale". They are forces, demonstrable by experiment, just like other forces like gravity.