One end of a string of length 1m is attatched to the rim of a 2m radius disc while the other end carries a mass of 5kg. If the tension in the string may not exceed 300N. find the maximum speed w in radians/sec and the corresponding angle of inclination of the string to the vertical (use g = 10m/s)

Thank you so much!!

Your g units are wrong. You have quoted a speed.