Angular Momentum - Physics 101 / AP Physics 1 Review with Dianna Cowern

I'm sorry but you are contradicting yourself when your speaking about the record, as you clearly state that Angular Velocity is measured in Radians, so the whole record spins at the exact same Angular Rate throughout, as it's one solid rotating body.
But after this you start speaking about different parts of the record spinning at different linear velocities which contradicts the reality you detailed just previous, as something moving at an angular rate, cannot be moving at a linear rate, as linear implies that something is moving in a straight trajectory, where as Angular speaks of something moving at an angled trajectory around 360 degrees.
So not only is there no linear on a solid rotating body, but there is also no two or more different moving parts, the whole record spins at the same exact Angular rate, so every part of it is moving around 360 degrees together, and not at different distance measurements around, this is not correct.... This is a fallacy that seems to keep getting thought to people ?