The friend of the ladybug at the outer edge will have the same rotational speed of 20 RPM, but a tangential speed of 4 cm/s, which is double the ladybug's speed because of the increased radius.
To determine the rotational and tangential speeds of the ladybug's friend who sits at the outer edge of the turntable, we need to understand the relationship between the speed, the radius of the rotation, and the rotational velocity. Given that the ladybug has a tangential speed of 2 cm/s at a point halfway between the rotational axis and the outer edge, we can infer that the tangential speed at the outer edge will be double because the radius is double. Since the rotational speed is a measure of how many times the object spins in a minute, and it remains constant regardless of the radius, the friend's rotational speed will still be 20 RPM. The tangential speed, however, will be 4 cm/s since it is directly proportional to the radius.