To answer this problem, we must remember that momentum is conserved. Therefore,
Initial momentum = Final momentum
In this case we use angular momentum which it is defined as:
Momentum =0.5 m ω^2
So finding for final angular velocity, ωf:
mi * ωi^2 = mf * ωf^2
120 kg * (0.5 rev / s)^2 = (120 kg + 22 kg) * ωf^2
ωf^2 = 0.2113
ωf = 0.46 rev/s