I assumed 1m radius for the first and 5m for the second, particularly the second sounds off. Anyway... The centripetal force from Earth's rotation is quiet negligible compared to its gravitation.
5 meters is definitely way too short for the chair swing ride. Look at the people in the seats. It's definitely at least 10 meters.
Assuming 10 meters and 100 km/h, that gives about 7.9 g. That's in the range of what fighter pilots might experience and well beyond where most people black out, so that's still definitely too high.
Looking it up online, this is a pretty classic physics problem and the numbers you might see around it are closer to a radius of 12 meters and a speed of 13 to 17 m/s. Taking that as 15 m/s (54 km/h), that works out to about 1.9 g, which I can subjectively say feels much closer to the real value if you ever ride on one of these.
Yeah, those rides complete a rotation in ~10 seconds given what I was able to count in a couple YouTube videos, so 36°/sec. If they have a 10m radius, the linear velocity would be 6.283 m/s or 22.62km/he.
Looked up a video of a gentle one. A revolution takes about 2𝜋 seconds, at which the speed in m/s is the same as the radius in meters, or around 5. Multiply by 3.6 to convert into 18 km/h, which seems realistic for the milder ones. The apparent horizontal centrifugal acceleration will then be 𝑣²/𝑟 = 5 ms⁻² ≈ 0.5𝑔, which corresponds to an angle of approx. 26° from the verical, reasonably close to the video.
The one depicted in the image probably goes about 2x as fast, pulling perhaps 2𝑔 horizontally for an angle of approx. 63°.
I once lived with a sort of science skepticistdenier (didn't believe in the moonlanding nor did he believe that the earth wasn't flat). He was of the belief that scientists are deceiving the public and one of the examples he gave was that they claim that the earth rotates at 1 670 km/h but if we look outside that's very clearly not the case and if jump we aren't flung at that speed to the side. I spent half an hour in a back and forth trying to explain the concept of relative velocity and inertia. It didn't go anywhere.
Edit: changed to denier based on the comment by logos.
Not to be pedantic but I would call them more of a science denier than a skeptic. It's too close to scientific skepticism which is completely different.
My aunt once mentioned that if the earth wasn't rotating that we'd all be crushed by gravity, and it's only the spinning cancelling out that force. I responded by pointing out that gravity is also present at the poles, where you can casually walk faster than the rotation of the earth, and yet no one has been crushed to death there. She responded that it must be something to do with the magnetic fields, and wouldn't listen to anything I said when I tried to explain the basic concept of angular velocity.
By this logic uh, you'd be crushed to death on Mercury or the Moon as they are both basically tidally locked, and also apparently helicopters don't need blades, fence posts or pool noodles would negate gravity, because they spin really fast.
Perhaps she saw that one weird Russian experiment from the 80s that concluded that if you spin something really fast it gets lighter, and thus gravity has something to do with spinning? I have seen a whole lot of spin related anti gravity nonsense on the internet.
Many of the 'electric universe' people seem to think electromagnetism somehow plays a more important role in... what we typically think gravity does... than gravity.
Ask her if she thinks things get crushed on the North or South poles of Mars. Semi-comparable amount of mass, nearly identical rotation period, but basically no electromagnetics to speak of.