In this xkcd, Megan spins around to attempt to take momentum away from the Earth to slow its spinning.
I was wondering, if Megan spinned around, wouldn't this cause her relative velocity to the rest of the room to increase? Because she is accelerating back and forth, the twin paradox should apply, and she should experience less time for every second in 'room time'.
Is my reasoning correct? Compared to the effect that spinning could put on the rotation of the Earth, which effect is larger? Will Megan increase or decrease the time, from her perspective, until dawn?