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What would the blower speed be if the motor pulley were twice the diameter of the blower pulley?

  1. Two times the motor speed

  2. Equal to the motor speed

  3. Half the motor speed

  4. Quarter the motor speed

The correct answer is: Two times the motor speed

In systems involving pulleys, the relationship between the diameters of the pulleys and the speeds of the attached components is crucial. When a motor pulley is larger than the blower pulley, it affects how the speed is transmitted from one to the other. When the diameter of the motor pulley is twice that of the blower pulley, the principle of conservation of energy applies, specifically regarding the speed ratio. The speed of the blower will be inversely proportional to the ratio of the diameters. If the motor pulley is twice as large, the blower pulley will rotate faster to compensate for the difference in size. Therefore, if the motor pulley has twice the diameter, the blower will rotate at a speed that is twice that of the motor's speed. This relationship occurs because the same amount of cable (or belt) moving across a larger pulley (the motor pulley) must move across a smaller pulley (the blower pulley) at a proportionately increased speed to maintain synchronization. By understanding this relationship, it becomes clear why the answer, indicating that the blower speed would be twice the motor speed, accurately reflects the mechanics of how pulley systems function in gas fitting applications.