Better approach: Use (common in EASA performance). Let’s verify: Moment_BEM = Index × 10,000 = 1,124,000. Then arm_BEM = Moment / Mass = 1,124,000 / 34,560 ≈ 32.5 m — plausible. Good.
Given BEM index = 112.4 at 34,560 kg. Crew: Mass 410 kg, arm 142.0. To add index, use: Added Index = (Mass × Arm) / (Reference constant) ? Wait — in EASA questions, often the index is a simple moment / 1000 or moment / 100,000 . We must deduce the Index Unit (IU).
Given the options, correct calculation is: easa atpl question bank
Therefore, this question uses a . But in the real EASA bank, they predefine that the Dry Operating Index is directly given by loading table or simple addition of mass and index using:
Thus, is consistent.
Index formula typically: , but in this question bank, they provide index directly for BEM and arm values for others. We must compute additional moment index from crew:
Now crew moment = 410 kg × 142.0 m = 58,220 → Crew Index = 58,220 / 10,000 = 5.822 ≈ 5.8. Better approach: Use (common in EASA performance)
Given complexity, the : Use loading table with given “index units” where 1 IU = 1000 kg·m. Then BEM moment = 112.4 × 1000 = 112,400 kg·m. Crew moment = 410 × 142 = 58,220 → total moment = 170,620 kg·m → DOI = 170,620 / 1000 = 170.6 — wrong. So not /1000.