A rigid wheel with rotational inertia \(I = 2.0\text{ kg}\cdot\text{m}^2\) is mounted on a frictionless horizontal axle and is initially rotating with an angular speed of \(\omega_i = 3.0\text{ rad/s}\) at angular position \(\theta = 0\text{ rad}\). A variable net torque \(\tau\) is applied to the wheel as a function of its angular displacement \(\theta\), as shown in the graph.

What is the angular speed of the wheel when it reaches \(\theta = 10\text{ rad}\)?