How fast a discus is spinning??

Question

During a throw an athlete exerts a net average torque of 100 Nm on a discus
about its axis of spin. The mass of the discus is 2 kg and its radius of gyration
about its spin axis is 12 cm. If the discus was not spinning at the beginning of
the throw and the throwing action lasts for 0.2 s, calculate how fast (in
radians s-1) the discus is spinning when it is released.

Answer 1

ω = ω0 + αt
α = Τ/I
I = MR^2
ω0 = 0
ω = (Τ/(MR^2))t
ω = (100/(2*0.12^2))0.2
ω = 694.44 rad./s

Answer 2

all i know is that i throw it high and fast