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In the measurement of surface roughness, heights of successive 10 peaks and troughs were measured from a datum and were 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns. If these measurements were made over a 5 mm length. The CLA value for the given surface is
- a)22.3 microns
- b)25.5 microns
- c)30 microns
- d)none
Correct answer is option 'B'. Can you explain this answer?
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In the measurement of surface roughness, heights of successive 10 peak...
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In the measurement of surface roughness, heights of successive 10 peak...
Given information:
- Heights of successive 10 peaks and troughs: 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns
- Length of surface measured: 5 mm
To calculate CLA value:
1. Calculate the average height of the 10 peaks and troughs:
- Add all the heights: 33 + 25 + 30 + 19 + 22 + 18 + 32 + 27 + 29 + 20 = 255 microns
- Divide the sum by 10: 255 / 10 = 25.5 microns
2. Calculate the arithmetic mean of the absolute values of the height differences between successive points:
- Calculate the difference between each successive point:
- 33 - 25 = 8
- 25 - 30 = -5
- 30 - 19 = 11
- 19 - 22 = -3
- 22 - 18 = 4
- 18 - 32 = -14
- 32 - 27 = 5
- 27 - 29 = -2
- 29 - 20 = 9
- Take the absolute value of each difference: 8, 5, 11, 3, 4, 14, 5, 2, 9
- Calculate the average of these absolute differences: (8+5+11+3+4+14+5+2+9)/9 = 6.67 microns
3. Multiply the result from step 2 by a conversion factor of 1.414:
- 6.67 x 1.414 = 9.42 microns
4. Add the results from steps 1 and 3 to get the CLA value:
- 25.5 + 9.42 = 34.92 microns
5. Divide the CLA value by the square root of the measured length:
- 34.92 / √5 = 22.3 microns (rounded to one decimal place)
Therefore, the CLA value for the given surface is 22.3 microns.
- Heights of successive 10 peaks and troughs: 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns
- Length of surface measured: 5 mm
To calculate CLA value:
1. Calculate the average height of the 10 peaks and troughs:
- Add all the heights: 33 + 25 + 30 + 19 + 22 + 18 + 32 + 27 + 29 + 20 = 255 microns
- Divide the sum by 10: 255 / 10 = 25.5 microns
2. Calculate the arithmetic mean of the absolute values of the height differences between successive points:
- Calculate the difference between each successive point:
- 33 - 25 = 8
- 25 - 30 = -5
- 30 - 19 = 11
- 19 - 22 = -3
- 22 - 18 = 4
- 18 - 32 = -14
- 32 - 27 = 5
- 27 - 29 = -2
- 29 - 20 = 9
- Take the absolute value of each difference: 8, 5, 11, 3, 4, 14, 5, 2, 9
- Calculate the average of these absolute differences: (8+5+11+3+4+14+5+2+9)/9 = 6.67 microns
3. Multiply the result from step 2 by a conversion factor of 1.414:
- 6.67 x 1.414 = 9.42 microns
4. Add the results from steps 1 and 3 to get the CLA value:
- 25.5 + 9.42 = 34.92 microns
5. Divide the CLA value by the square root of the measured length:
- 34.92 / √5 = 22.3 microns (rounded to one decimal place)
Therefore, the CLA value for the given surface is 22.3 microns.
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In the measurement of surface roughness, heights of successive 10 peaks and troughs were measured from a datum and were 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns. If these measurements were made over a 5 mm length. The CLA value for the given surface isa)22.3 micronsb)25.5 micronsc)30 micronsd)noneCorrect answer is option 'B'. Can you explain this answer?
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In the measurement of surface roughness, heights of successive 10 peaks and troughs were measured from a datum and were 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns. If these measurements were made over a 5 mm length. The CLA value for the given surface isa)22.3 micronsb)25.5 micronsc)30 micronsd)noneCorrect answer is option 'B'. 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 In the measurement of surface roughness, heights of successive 10 peaks and troughs were measured from a datum and were 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns. If these measurements were made over a 5 mm length. The CLA value for the given surface isa)22.3 micronsb)25.5 micronsc)30 micronsd)noneCorrect answer is option 'B'. 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 In the measurement of surface roughness, heights of successive 10 peaks and troughs were measured from a datum and were 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns. If these measurements were made over a 5 mm length. The CLA value for the given surface isa)22.3 micronsb)25.5 micronsc)30 micronsd)noneCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice In the measurement of surface roughness, heights of successive 10 peaks and troughs were measured from a datum and were 33, 25, 30, 19, 22, 18, 32, 27, 29, and 20 microns. If these measurements were made over a 5 mm length. The CLA value for the given surface isa)22.3 micronsb)25.5 micronsc)30 micronsd)noneCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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