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A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).
Correct answer is '31.4'. Can you explain this answer?
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A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally tur...
Given data:
Thickness of the tube (t) = 1 mm
Diameter of the tube (D) = 100 mm
Axial feed of the tool (f) = 1 m/minute
Specific cutting energy (u) = 6 J/mm³
Calculating the volume of material to be removed:
The volume of material to be removed in a single pass can be calculated using the following equation:
V = π/4 * (D² - (D - 2t)²)
Substituting the given values:
V = π/4 * (100² - (100 - 2 * 1)²)
V = 7853.98 mm³
Calculating the time taken to remove the material:
The time taken to remove the material can be calculated using the following equation:
t = V / (f * t)
Substituting the given values:
t = 7853.98 mm³ / (1 m/minute * 1 mm)
t = 7853.98 minutes
Calculating the energy required:
The energy required can be calculated using the following equation:
E = V * u
Substituting the given values:
E = 7853.98 mm³ * 6 J/mm³
E = 47123.88 J
Calculating the power required:
Power (P) is given by the equation:
P = E / t
Substituting the calculated values:
P = 47123.88 J / 7853.98 minutes
P = 5.9984 J/minute
Converting the power from J/minute to kW:
P = 5.9984 J/minute * (1 kW / 60000 J/minute)
P = 0.0000999733 kW
Rounding off to one decimal place:
P ≈ 0.1 kW
The correct answer is 0.1 kW, not 31.4159 kW. Please double-check the given answer.
Thickness of the tube (t) = 1 mm
Diameter of the tube (D) = 100 mm
Axial feed of the tool (f) = 1 m/minute
Specific cutting energy (u) = 6 J/mm³
Calculating the volume of material to be removed:
The volume of material to be removed in a single pass can be calculated using the following equation:
V = π/4 * (D² - (D - 2t)²)
Substituting the given values:
V = π/4 * (100² - (100 - 2 * 1)²)
V = 7853.98 mm³
Calculating the time taken to remove the material:
The time taken to remove the material can be calculated using the following equation:
t = V / (f * t)
Substituting the given values:
t = 7853.98 mm³ / (1 m/minute * 1 mm)
t = 7853.98 minutes
Calculating the energy required:
The energy required can be calculated using the following equation:
E = V * u
Substituting the given values:
E = 7853.98 mm³ * 6 J/mm³
E = 47123.88 J
Calculating the power required:
Power (P) is given by the equation:
P = E / t
Substituting the calculated values:
P = 47123.88 J / 7853.98 minutes
P = 5.9984 J/minute
Converting the power from J/minute to kW:
P = 5.9984 J/minute * (1 kW / 60000 J/minute)
P = 0.0000999733 kW
Rounding off to one decimal place:
P ≈ 0.1 kW
The correct answer is 0.1 kW, not 31.4159 kW. Please double-check the given answer.
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Community Answer
A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally tur...
Given :
Thickness (t) = 1 mm
Diameter (D) = 100 mm
Axial feed (F) = fN = 1 n/min = 1000/60 mm/sec
Specific cutting energy (G ) = 6 J/mm3
For cylindrical tube,
Area of cut ( A) = πDt
Now,
Specific cutting energy = Power / Material removal rate
Thickness (t) = 1 mm
Diameter (D) = 100 mm
Axial feed (F) = fN = 1 n/min = 1000/60 mm/sec
Specific cutting energy (G ) = 6 J/mm3
For cylindrical tube,
Area of cut ( A) = πDt
Now,
Specific cutting energy = Power / Material removal rate
Power required, P = 31415.9 W
P = 31.4159 kW
Hence, the correct answer is 31.4159
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A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).Correct answer is '31.4'. Can you explain this answer?
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A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).Correct answer is '31.4'. 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 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).Correct answer is '31.4'. 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 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).Correct answer is '31.4'. Can you explain this answer?.
A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).Correct answer is '31.4'. 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 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).Correct answer is '31.4'. 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 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3. Neglect contribution of feed force towards power. The power required to carry out this operation is ________ kW (round off to one decimal place).Correct answer is '31.4'. Can you explain this answer?.
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