The four-time Grand Slam champion fired off 20 winners and four aces to set up a second-round meeting with Australian Daria Saville.
Peterson, who only produced two winners across the match, never regained her composure and Swiatek pumped her first after closing out the match with a scorching backhand down the line.
"I really wanted to play solid and start (the) tournament with everything that I focused on (in practice),” she said in on-court remarks.
"I just feel happy that with all the pressure and expectations I can just have fun on court."
Reporting by Amy Tennery in New York, editing by Pritha SarkarOur Standards: The Thomson Reuters Trust Principles.
Persons:
Iga, Sweden's Rebecca Peterson, Shannon Stapleton, Iga Swiatek, Swede Rebecca Peterson, Arthur Ashe, Daria Saville, Swiatek, Peterson, ”, Amy Tennery, Pritha Sarkar
Organizations:
Tennis, U.S, Cincinnati, Thomson
Locations:
Flushing Meadows , New York, United States, Montreal, Flushing Meadows, New York