Linear speed depends on radial distance from the center and rotational speed.
If we are making a left turn, then the dancers on the left side must travel very little, and almost stay in place as we round the turn. The dancers on the right, however, must make long strides while maintaining our straight lines. While both sides have the same rotational speed, the radial speeds are different because the dancers on the right are traveling at a faster speed, with a larger radius.