A solid disk with a mass ok 100 kg and radius of 0.2m turns clockwise through an angular displacement 10 rad when starting from rest attain its maximum angular speed of 1 revolution every 0.5s. How much time did it take for the disk to go from rest to maximum angular speed?

its average velocity is 1/2 *wfinal=1rev/sec or 2PI radians/sec

displacement= waverage*time
solve for time.