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The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).
Correct answer is '0.25'. Can you explain this answer?
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The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1)...
Given data:
- The starting position of the XY table is P (1,1) mm.
- The ending position of the XY table is Q (51,1) mm.
- The pitch of the NC drive leadscrew is 1 mm.
- The backlash between the leadscrew and nut is 1.8 mm.
Calculating the total backlash:
To calculate the total backlash of the table on moving from P to Q, we need to consider the effect of both the pitch of the leadscrew and the backlash between the leadscrew and nut.
1. Calculate the distance between P and Q:
- The X-coordinate changes from 1 to 51, resulting in a displacement of 51 - 1 = 50 mm.
- The Y-coordinate remains constant at 1 mm.
- Therefore, the total distance between P and Q is sqrt((50)^2 + (0)^2) = 50 mm.
2. Calculate the number of leadscrew revolutions:
- Since the pitch of the NC drive leadscrew is 1 mm, it takes 50/1 = 50 revolutions to cover the distance between P and Q.
3. Calculate the backlash distance:
- The backlash between the leadscrew and nut is 1.8 mm.
- As the leadscrew rotates, the nut will take up the backlash before it starts moving the table.
- The table will start moving after the leadscrew has rotated by a distance equal to the backlash.
- Therefore, the backlash distance is 1.8 mm.
4. Calculate the effective distance covered by the table:
- The total distance covered by the table is 50 mm.
- However, the table only moves after the backlash is taken up, so the effective distance covered by the table is 50 - 1.8 = 48.2 mm.
5. Calculate the total backlash:
- The total backlash is the difference between the total distance between P and Q and the effective distance covered by the table.
- Therefore, the total backlash is 50 - 48.2 = 1.8 mm.
Final answer:
The total backlash of the table on moving from P to Q is 1.8 mm.
- The starting position of the XY table is P (1,1) mm.
- The ending position of the XY table is Q (51,1) mm.
- The pitch of the NC drive leadscrew is 1 mm.
- The backlash between the leadscrew and nut is 1.8 mm.
Calculating the total backlash:
To calculate the total backlash of the table on moving from P to Q, we need to consider the effect of both the pitch of the leadscrew and the backlash between the leadscrew and nut.
1. Calculate the distance between P and Q:
- The X-coordinate changes from 1 to 51, resulting in a displacement of 51 - 1 = 50 mm.
- The Y-coordinate remains constant at 1 mm.
- Therefore, the total distance between P and Q is sqrt((50)^2 + (0)^2) = 50 mm.
2. Calculate the number of leadscrew revolutions:
- Since the pitch of the NC drive leadscrew is 1 mm, it takes 50/1 = 50 revolutions to cover the distance between P and Q.
3. Calculate the backlash distance:
- The backlash between the leadscrew and nut is 1.8 mm.
- As the leadscrew rotates, the nut will take up the backlash before it starts moving the table.
- The table will start moving after the leadscrew has rotated by a distance equal to the backlash.
- Therefore, the backlash distance is 1.8 mm.
4. Calculate the effective distance covered by the table:
- The total distance covered by the table is 50 mm.
- However, the table only moves after the backlash is taken up, so the effective distance covered by the table is 50 - 1.8 = 48.2 mm.
5. Calculate the total backlash:
- The total backlash is the difference between the total distance between P and Q and the effective distance covered by the table.
- Therefore, the total backlash is 50 - 48.2 = 1.8 mm.
Final answer:
The total backlash of the table on moving from P to Q is 1.8 mm.
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Community Answer
The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1)...
In one rotation → 1mm
and backlash for one rotation is 1.80
So, backlash in mm
=
For 50 mm → 50 rotation
So in one rotation backlash is 0.005 mm.
For 50 rotation → 50 × 0.005 = 0.25 mm
and backlash for one rotation is 1.80
So, backlash in mm
=
For 50 mm → 50 rotation
So in one rotation backlash is 0.005 mm.
For 50 rotation → 50 × 0.005 = 0.25 mm
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The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. Can you explain this answer?
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The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. 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 The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. 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 The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. Can you explain this answer?.
The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. 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 The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. 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 The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. Can you explain this answer?.
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The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. Can you explain this answer?, a detailed solution for The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. Can you explain this answer? has been provided alongside types of The XY table of a NC machine tool is to move from P (1,1) to Q (51, 1): all coordinates are in mm. The pitch of the NC drive leadscrew is 1 mm. If the backlash between the leadscrew and nut is 1.80 , then the total backlash of the table on moving from P to Q is ____mm (round off to two decimal places).Correct answer is '0.25'. Can you explain this answer? theory, EduRev gives you an
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