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A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) is
- a)300
- b)30
- c)40
- d)3
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A dc servomotor is coupled to a lad screw which drives the table of a...
Table speed V = p x rpm
= 5 x 600
= 3000 mm/min
= 3 m/min
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A dc servomotor is coupled to a lad screw which drives the table of a...
Understanding the Problem
To find the speed of the table driven by a DC servomotor through a lead screw, we need to analyze the given parameters:
- Pulses per revolution of encoder: 500 pulses/rev
- Pitch of screw: 5 mm/rev
- Motor speed: 600 rpm
Calculating the Table Speed
1. Distance per Revolution:
- The lead screw advances the table by its pitch for every complete revolution. Therefore, for each revolution, the table moves:
- Movement per revolution = Pitch = 5 mm/rev
2. Total Distance Moved by Table in One Minute:
- The motor speed is given in revolutions per minute (rpm). Thus, in one minute, the number of revolutions made by the motor is 600.
- The total distance moved by the table in one minute can be calculated as:
- Total Distance = Motor Speed x Movement per revolution
- Total Distance = 600 rev/min x 5 mm/rev = 3000 mm/min
3. Converting to Meters:
- To express the speed in meters per minute, convert millimeters to meters:
- 3000 mm/min = 3000/1000 m/min = 3 m/min
Conclusion
Thus, the speed of the table is 3 m/min, corresponding to option 'D'. This calculation highlights the relationship between motor speed, lead screw pitch, and the resultant table movement in CNC machinery.
To find the speed of the table driven by a DC servomotor through a lead screw, we need to analyze the given parameters:
- Pulses per revolution of encoder: 500 pulses/rev
- Pitch of screw: 5 mm/rev
- Motor speed: 600 rpm
Calculating the Table Speed
1. Distance per Revolution:
- The lead screw advances the table by its pitch for every complete revolution. Therefore, for each revolution, the table moves:
- Movement per revolution = Pitch = 5 mm/rev
2. Total Distance Moved by Table in One Minute:
- The motor speed is given in revolutions per minute (rpm). Thus, in one minute, the number of revolutions made by the motor is 600.
- The total distance moved by the table in one minute can be calculated as:
- Total Distance = Motor Speed x Movement per revolution
- Total Distance = 600 rev/min x 5 mm/rev = 3000 mm/min
3. Converting to Meters:
- To express the speed in meters per minute, convert millimeters to meters:
- 3000 mm/min = 3000/1000 m/min = 3 m/min
Conclusion
Thus, the speed of the table is 3 m/min, corresponding to option 'D'. This calculation highlights the relationship between motor speed, lead screw pitch, and the resultant table movement in CNC machinery.
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A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) isa)300b)30c)40d)3Correct answer is option 'D'. Can you explain this answer?
Question Description
A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) isa)300b)30c)40d)3Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) isa)300b)30c)40d)3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) isa)300b)30c)40d)3Correct answer is option 'D'. Can you explain this answer?.
A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) isa)300b)30c)40d)3Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) isa)300b)30c)40d)3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) isa)300b)30c)40d)3Correct answer is option 'D'. Can you explain this answer?.
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