Approximately 1,000 km (620 mi) in radius (6,283.2 km circumference) and 500 km (310 mi) in width, containing 3 million square kilometers (1.2 million square miles) of living space, comparable to the area of Argentina or India.

https://en.wikipedia.org/wiki/Bishop_Ring_(habitat)#:~:text=In%20the%20original%20proposal%2C%20the,area%20of%20Argentina%20or%20India.

To create 1 g equivalent centripetal acceleration (9.806 m/s^2) a 1,000 km (1,000,000 m) radius needs to spin at 3,131.45 m/sec.

https://physicscatalyst.com/calculators/physics/centripetal-acceleration-calculator.php

Equal to about one revolution per 2,000 sec (33.44 per minute) - or 0.03 rpm - or 0.003142 rad/sec.

https://www.inchcalculator.com/convert/revolution-per-minute-to-radian-per-second/

Depending on the assumptions for thickness you can calculate stress in the habitat's 10 m thick circular walls. Use 1,750 kg/m^3 for density of habitat circular walls:

https://www.engineeringtoolbox.com/stress-rotation-disc-ring-body-d_1752.html

Assuming no bone headed math mistake, I get a tensile strain of 5,817 kg/m^2

Carbon fiber has a tensile strength of 3.5 GPa