Final answer:
To convert 200 lb·ft to N·m, multiply by the conversion factor of 1.35582, which gives you 271.164 N·m. The nearest whole number is 271 N·m.
Step-by-step explanation:
Converting torque from pound-feet (lb·ft) to Newton-meters (N·m) involves the conversion factor of 1 lb·ft equating to 1.35582 N·m. For 200 lb·ft, multiplying by this factor: 200 lb·ft * 1.35582 = 271.164 N·m. Thus, the torque amounts to approximately 271 N·m, confirming option (a) as the correct answer. Utilizing conversion factors ensures accurate translation between different units, in this case, facilitating the precise representation of torque in Newton-meters from the original pound-feet value.