People needing to cool off on hot days can go to several local cooling and overnight centers, the Rock County Sheriffâs Office said in a news release Wednesday. Centers will be available to residents when temperatures exceed 90 degrees in Rock County, according to the release. Those who use the air-conditioned cooling centers are responsible for their own belongings, water and food. Locations and open hours are: Beloit Public Library, 605 Eclipse Blvd., Beloit. 9:30 a.m. to 9 p.m. Monday through Thursday; 9:30 a.m. to 5:30 p.m. Friday and Saturday. Call 608-364-2905. Brodhead City Hall, 1111 W. Second Ave., Brodhead. 8 a.m. to 4:30 p.m. Monday through Friday. Call 608-897-4018.