Rogers came into the competition as the hot favourite and duly opened proceedings with 78.09 – longer than her leading throw in qualifying.
She then stamped her authority all over the field and the event with her second of 80.51.
It was an almost two-metre improvement on her personal best of 78.88 and put her second on the all-time list behind Poland's world record holder Anita Włodarczyk, who has a best of 82.98 set nine years ago.
Another effort of 78.27 and a finish of 79.11 for fun merely underlined Rogers' dominance.
China took silver through Zhao Jie, with a personal best of 77.60, and bronze via Zhang Jiale (77.10).