A student applies three torques to a rigid wheel: $$\tau_1 = 4.0\ \mathrm{N \cdot m}$$ at $$0^\circ$$, $$\tau_2 = 3.0\ \mathrm{N \cdot m}$$ at $$90^\circ$$, and $$\tau_3 = 5.0\ \mathrm{N \cdot m}$$ at $$270^\circ$$. If the wheel rotates by 1.5 radians in the positive direction (that is, in the direction of $$0^\circ$$), what is the net work done by all torques during this rotation?