A wheel mounted on a frictionless fixed axis is subjected to a position-dependent net torque given by \(\tau(\theta) = \tau_0 \sin\theta\), where \(\tau_0\) is a positive constant and \(\theta\) is the angular displacement from its initial position. What is the total work done on the wheel by this torque as it rotates from \(\theta = 0\) to \(\theta = \dfrac{\pi}{2}\)?