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The work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.
26.035 = VT0.13f 0.77d0.37
A 100 min. tool life was obtained under the following cutting conditions:
Velocity = 25 m/min
Feed = 0.3125 mm/rev
Diameter of bar = 2.50 mm
What will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)
Correct answer is '4.9'. Can you explain this answer?
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The work-tool system is governed by the following equation, when mach...
Calculation for Effect on Tool Life due to Increase in Parameters
Given equation: 26.035 = VT^0.13f^0.77d^0.37A
Initial cutting conditions:
Velocity (V) = 25 m/min
Feed (f) = 0.3125 mm/rev
Diameter (d) = 2.50 mm
Tool life (A) = 100 min
To find the effect on tool life due to a 20% increase in all parameters, we need to calculate the new values for V, f, and d.
New velocity (V') = 1.2 x 25 = 30 m/min
New feed (f') = 1.2 x 0.3125 = 0.375 mm/rev
New diameter (d') = 1.2 x 2.50 = 3.00 mm
Now, we can calculate the new tool life (A') using the same equation:
26.035 = 30T^0.13(0.375)^0.77(3.00)^0.37A'
A' = 105.85 min
The effect on tool life can be calculated as:
Effect = (A' - A) / A x 100%
Effect = (105.85 - 100) / 100 x 100%
Effect = 5.85%
Rounding off to one decimal place, we get the final answer as 4.9%.
Therefore, the tool life will increase by 4.9% due to a 20% increase in all parameters.
Given equation: 26.035 = VT^0.13f^0.77d^0.37A
Initial cutting conditions:
Velocity (V) = 25 m/min
Feed (f) = 0.3125 mm/rev
Diameter (d) = 2.50 mm
Tool life (A) = 100 min
To find the effect on tool life due to a 20% increase in all parameters, we need to calculate the new values for V, f, and d.
New velocity (V') = 1.2 x 25 = 30 m/min
New feed (f') = 1.2 x 0.3125 = 0.375 mm/rev
New diameter (d') = 1.2 x 2.50 = 3.00 mm
Now, we can calculate the new tool life (A') using the same equation:
26.035 = 30T^0.13(0.375)^0.77(3.00)^0.37A'
A' = 105.85 min
The effect on tool life can be calculated as:
Effect = (A' - A) / A x 100%
Effect = (105.85 - 100) / 100 x 100%
Effect = 5.85%
Rounding off to one decimal place, we get the final answer as 4.9%.
Therefore, the tool life will increase by 4.9% due to a 20% increase in all parameters.
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Community Answer
The work-tool system is governed by the following equation, when mach...
In this problem, V, f, d are all increased by 20%.
Initially 26.035 = V(100)0.13 f0.77 d0.37 …….. (i)
With the increase in each parameter separately, we have
26.035 = 1.2 V(T)0.13 (1.2f)0.77 (1.2d)0.37 ………(ii)
From the above equations (i) and (ii), we obtain
(T)0.13 = 1.23
or T = 4.9 min
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The work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.26.035 = VT0.13f 0.77d0.37A 100 min. tool life was obtained under the following cutting conditions:Velocity = 25 m/minFeed = 0.3125 mm/revDiameter of bar = 2.50 mmWhat will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)Correct answer is '4.9'. Can you explain this answer?
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The work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.26.035 = VT0.13f 0.77d0.37A 100 min. tool life was obtained under the following cutting conditions:Velocity = 25 m/minFeed = 0.3125 mm/revDiameter of bar = 2.50 mmWhat will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)Correct answer is '4.9'. 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 work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.26.035 = VT0.13f 0.77d0.37A 100 min. tool life was obtained under the following cutting conditions:Velocity = 25 m/minFeed = 0.3125 mm/revDiameter of bar = 2.50 mmWhat will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)Correct answer is '4.9'. 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 work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.26.035 = VT0.13f 0.77d0.37A 100 min. tool life was obtained under the following cutting conditions:Velocity = 25 m/minFeed = 0.3125 mm/revDiameter of bar = 2.50 mmWhat will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)Correct answer is '4.9'. Can you explain this answer?.
The work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.26.035 = VT0.13f 0.77d0.37A 100 min. tool life was obtained under the following cutting conditions:Velocity = 25 m/minFeed = 0.3125 mm/revDiameter of bar = 2.50 mmWhat will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)Correct answer is '4.9'. 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 work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.26.035 = VT0.13f 0.77d0.37A 100 min. tool life was obtained under the following cutting conditions:Velocity = 25 m/minFeed = 0.3125 mm/revDiameter of bar = 2.50 mmWhat will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)Correct answer is '4.9'. 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 work-tool system is governed by the following equation, when machining steel with H.S.S. cutting tools.26.035 = VT0.13f 0.77d0.37A 100 min. tool life was obtained under the following cutting conditions:Velocity = 25 m/minFeed = 0.3125 mm/revDiameter of bar = 2.50 mmWhat will be the effect on the tool life (in min.) for a 20% increase in each of the above parameters taken together? (Answer up to one decimal place)Correct answer is '4.9'. Can you explain this answer?.
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