Problem: All the electromagnetic motors, and that includes the types mentioned here derive the torque from the vector product of the interacting fields. For calculating the torque it is necessary to know the fields in the air gap . Once these have been established by mathematical analysis using FEA or other tools the torque may be calculated as the integral of all the vectors of force multiplied by the radius of each vector. The current flowing in the winding is producing the fields and for a motor using a magnetic material the field is not linearly proportional to the current. This makes the calculation difficult but a computer can do the many calculations needed.
What is the formulia to determine torque?
The answer is the following: the integral of all the vectors of force multiplied by the radius of each vector


At the completion of the west front in 1140, Abbot Suger moved on to the reconstruction of the eastern end, leaving the Carolingian nave in use. He designed a choir that would be suffused with light. To achieve his aims, his masons drew on the several new features which evolved or had been introduced to Romanesque architecture, the pointed arch, the ribbed vault, the ambulatory with radiating chapels, the clustered columns supporting ribs springing in different directions and the flying buttresses which enabled the insertion of large clerestory windows.
What style of nave was left unaltered during this portion of the reconstruction of Saint Denis?
the Carolingian nave


Input: Dissolution of the Soviet Union
Gorbachev also radically expanded the scope of Glasnost, stating that no subject was off-limits for open discussion in the media. Even so, the cautious Soviet intelligentsia took almost a year to begin pushing the boundaries to see if he meant what he said. For the first time, the Communist Party leader had appealed over the heads of Central Committee members for the people's support in exchange for expansion of liberties. The tactic proved successful: Within two years political reform could no longer be sidetracked by Party "conservatives." An unintended consequence was that having saved reform, Gorbachev's move ultimately killed the very system it was designed to save.

What group wanted to stop reforms?
Output: "conservatives."


Input: Article: Some of the leading art groups of China are based in Nanjing; they include the Qianxian Dance Company, Nanjing Dance Company, Jiangsu Peking Opera Institute and Nanjing Xiaohonghua Art Company among others.

Now answer this question: What art company is based in Nanjing?

Output: Nanjing Xiaohonghua Art Company


Article: Against the rested and re-armed Pusan Perimeter defenders and their reinforcements, the KPA were undermanned and poorly supplied; unlike the UN Command, they lacked naval and air support. To relieve the Pusan Perimeter, General MacArthur recommended an amphibious landing at Inchon (now known as Incheon), near Seoul and well over 100 miles (160 km) behind the KPA lines. On 6 July, he ordered Major General Hobart R. Gay, Commander, 1st Cavalry Division, to plan the division's amphibious landing at Incheon; on 12–14 July, the 1st Cavalry Division embarked from Yokohama, Japan to reinforce the 24th Infantry Division inside the Pusan Perimeter.

Question: Why did General MacArthur suggest an amphibious landing at Inchon?
Ans: To relieve the Pusan Perimeter


Input: Dog
In 14th-century England, hound (from Old English: hund) was the general word for all domestic canines, and dog referred to a subtype of hound, a group including the mastiff. It is believed this "dog" type was so common, it eventually became the prototype of the category "hound". By the 16th century, dog had become the general word, and hound had begun to refer only to types used for hunting. The word "hound" is ultimately derived from the Proto-Indo-European word *kwon- "dog".

When did the word dog become the common term for canines?
Output:
16th century