Two pulley wheels of radii 0.2 m and 0.59 m are mounted rigidly on a common axle and clamped together. The combined moment of inertia of the two wheels is 3.4 kg⋅m^2.

A mass 130 kg is attached to a cord wrapped around the smaller wheel and another mass of 69 kg is attached to another cord wrapped around the larger wheel.

Find the angular acceleration of the system. Take clockwise direction as positive. The acceleration of gravity is 9.8 m/s^2.

Answer in units of rad/s^2