To calculate the torque required for rotating a shaft with two 1000 kg masses positioned at 120-degree angles, the lengths of the bars must be considered, which are both 500 mm. The correct formula for torque is torque = force times length, but clarification is needed on whether to use the total mass or the resultant mass for calculations. The discussion emphasizes the importance of determining the torque due to gravity acting on each bar as a function of its angular position. Overall, understanding the geometry and forces involved is crucial for accurate torque calculations.