No, it's not; I think I feel a pull to the outside, but it's only because of inertia.
If you feel a pull, there's a pull. Your measurements are just as valid as anybody else's (note: this does not apply to your opinions about mathematics).
But I know I'm being pulled toward the inside, because if I wasn't, I'd fly off the merry-go-round, and NOT continue my circular motion.
I'm going to ignore that mathematics comment, Erasmus; I expected better from you.
Show me.
It is adequately reproduced in Wikipedia's article on fictitious forces.
I meant with a picture/diagram.
Yours. The one that flew off with you. Is there another of which I wasn't aware?
Listen to what you're saying. In your own reference frame (the one that flies off with you when you fly off a merry-go-round), you're always moving at a zero velocity.
Sleep deprivation != good; I hope you'll allow me to retract that ugly statement. I meant to say a non-rotating reference frame, i.e, someone watching you from a good, safe distance.
The interesting thing is what happens before you fly off the merry-go-round, while you're still sitting on it (say, in a giant hamster ball, or on a frictionless surface). Everybody in the rotating reference frame of the merry-go-round (how could you not know that that reference frame exists), including you, observes a force on you causing you to "flee the centre". If nothing balances this force, you accelerate outwards.
Really? Because when I fly off, I fly off at a constant velocity (relative to a non-rotating reference frame), except there is some acceleration back towards the merry-go-round due to air resistance, which can be ignored.
Erasmus, I'm going assume that the centrifugal force "exists" in rotating-reference frames, because I haven't been taught anything about rotating reference frames yet. But, if this is true, then I have one question, to which I think you may think you have already given me the answer:
If there is a centrifugal force, then why did my physics professor beat into our heads that there was no such thing?