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A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of 5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses per revolution of the lead screw. The table moves at a constant speed of 6 m/min. The corresponding frequency (in kHz) of the voltage pulses generated by the circular encoder is________
Correct answer is '20'. Can you explain this answer?
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To find the frequency of the voltage pulses generated by the circular encoder, we need to calculate the number of pulses per second.
Given:
- Lead screw pitch = 5 mm
- Circular encoder generates 1000 voltage pulses per revolution of the lead screw
- Table moves at a constant speed of 6 m/min
Calculating the velocity:
- The table moves at a speed of 6 m/min, which can be converted to m/s by dividing it by 60: 6 m/min ÷ 60 = 0.1 m/s
Calculating the distance covered by the table in one second:
- The table moves at a velocity of 0.1 m/s, so in one second, it covers a distance of 0.1 meters.
Calculating the number of revolutions made by the lead screw in one second:
- Since the lead screw has a pitch of 5 mm, it covers a distance of 5 mm in one revolution.
- The distance covered by the table in one second is 0.1 meters, which is equal to 100 mm.
- Therefore, the number of revolutions made by the lead screw in one second is 100 mm ÷ 5 mm/rev = 20 revolutions.
Calculating the frequency of voltage pulses:
- The circular encoder generates 1000 voltage pulses per revolution of the lead screw.
- Since the lead screw makes 20 revolutions in one second, the circular encoder will generate 1000 pulses × 20 revolutions = 20,000 pulses in one second.
- The frequency of the voltage pulses is the number of pulses per second, so the frequency is 20,000 pulses/second = 20 kHz.
Therefore, the corresponding frequency of the voltage pulses generated by the circular encoder is 20 kHz.
Given:
- Lead screw pitch = 5 mm
- Circular encoder generates 1000 voltage pulses per revolution of the lead screw
- Table moves at a constant speed of 6 m/min
Calculating the velocity:
- The table moves at a speed of 6 m/min, which can be converted to m/s by dividing it by 60: 6 m/min ÷ 60 = 0.1 m/s
Calculating the distance covered by the table in one second:
- The table moves at a velocity of 0.1 m/s, so in one second, it covers a distance of 0.1 meters.
Calculating the number of revolutions made by the lead screw in one second:
- Since the lead screw has a pitch of 5 mm, it covers a distance of 5 mm in one revolution.
- The distance covered by the table in one second is 0.1 meters, which is equal to 100 mm.
- Therefore, the number of revolutions made by the lead screw in one second is 100 mm ÷ 5 mm/rev = 20 revolutions.
Calculating the frequency of voltage pulses:
- The circular encoder generates 1000 voltage pulses per revolution of the lead screw.
- Since the lead screw makes 20 revolutions in one second, the circular encoder will generate 1000 pulses × 20 revolutions = 20,000 pulses in one second.
- The frequency of the voltage pulses is the number of pulses per second, so the frequency is 20,000 pulses/second = 20 kHz.
Therefore, the corresponding frequency of the voltage pulses generated by the circular encoder is 20 kHz.
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A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer?
Question Description
A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer?.
A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer?.
Solutions for A single axis CNC table is driven by a DC servo motor that is directly coupled to a lead screw of5 mm pitch. The circular encoder attached to the lead screw generates 1000 voltage pulses perrevolution of the lead screw. The table moves at a constant speed of 6 m/min. The correspondingfrequency (in kHz) of the voltage pulses generated by the circular encoder is________Correct answer is '20'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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