Problem NO: 19

A DC servomotor drives the y-axis of a NC milling machine table. The motor is coupled to the table\nlead screw with a gear reduction of 2:1 (2 turns of

A DC servomotor drives the y-axis of a NC milling machine table. The motor is coupled to the table

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lead screw with a gear reduction of 2:1 (2 turns of the motor shaft for each single rotation of the

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lead screw). There are 2 threads per cm in the lead screw. An optical encoder is directly connected

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to the lead screw (1:1 gear ratio). The optical encoder emits 100 pulses per revolution. To execute a

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certain programmed instruction, the table must move from point (x = 25.0 mm, y = 28.0) to point (x

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= 155.0 mm, y = 275.0 mm) in a straight-line trajectory at a feed rate = 200 mm/min. For the y-axis

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only, determine: (a) the control resolution of the mechanical system, (b) rotational speed of the

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motor, and (c) frequency of the pulse train emitted by the optical encoder at the desired feed rate.

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