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A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools are
Tool A VT0.31 = 43.3
Tool B VT0.43 = 89.5
Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better tool
life
Tool A VT0.31 = 43.3
Tool B VT0.43 = 89.5
Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better tool
life
__________________ m/s
Correct answer is between '4.6,4.8'. Can you explain this answer?
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Verified Answer
A mild steel workpiece is being machined by two different tools 'A...
At break-even speed V* both tool gives the same tool life
Most Upvoted Answer
A mild steel workpiece is being machined by two different tools 'A...
To determine the cutting speed above which tool B will give better tool life, we need to compare the tool life equations for tools A and B.
Determining the Cutting Speed:
We can rearrange the tool life equations as follows:
For Tool A: V = (43.3/T)^1/0.31
For Tool B: V = (89.5/T)^1/0.43
Since the machining conditions are identical, we can set the tool life values for both tools to be equal, say T = T.
Now, we can equate the cutting speeds for both tools and solve for T:
(43.3/T)^1/0.31 = (89.5/T)^1/0.43
Taking the 0.31th power of both sides, we get:
(43.3/T) = (89.5/T)^(0.31/0.43)
Simplifying further,
(43.3/T) = (89.5/T)^0.72
Now, cross-multiplying and rearranging the equation, we have:
(43.3/T)^0.72 * T = 89.5
Taking the 0.72th root of both sides and solving for T, we get:
T = (89.5/(43.3)^0.72 = 21.85 seconds
Calculating Cutting Speed:
Now, substituting the obtained value of T into any of the tool life equations, we can determine the corresponding cutting speed.
Let's use the tool life equation for Tool A:
V = (43.3/T)^1/0.31 = (43.3/21.85)^1/0.31 = 4.73 m/s
Therefore, for cutting speeds greater than 4.73 m/s, Tool B will give a better tool life than Tool A.
Conclusion:
The cutting speed above which Tool B will give better tool life is between 4.6 m/s and 4.8 m/s.
Determining the Cutting Speed:
We can rearrange the tool life equations as follows:
For Tool A: V = (43.3/T)^1/0.31
For Tool B: V = (89.5/T)^1/0.43
Since the machining conditions are identical, we can set the tool life values for both tools to be equal, say T = T.
Now, we can equate the cutting speeds for both tools and solve for T:
(43.3/T)^1/0.31 = (89.5/T)^1/0.43
Taking the 0.31th power of both sides, we get:
(43.3/T) = (89.5/T)^(0.31/0.43)
Simplifying further,
(43.3/T) = (89.5/T)^0.72
Now, cross-multiplying and rearranging the equation, we have:
(43.3/T)^0.72 * T = 89.5
Taking the 0.72th root of both sides and solving for T, we get:
T = (89.5/(43.3)^0.72 = 21.85 seconds
Calculating Cutting Speed:
Now, substituting the obtained value of T into any of the tool life equations, we can determine the corresponding cutting speed.
Let's use the tool life equation for Tool A:
V = (43.3/T)^1/0.31 = (43.3/21.85)^1/0.31 = 4.73 m/s
Therefore, for cutting speeds greater than 4.73 m/s, Tool B will give a better tool life than Tool A.
Conclusion:
The cutting speed above which Tool B will give better tool life is between 4.6 m/s and 4.8 m/s.
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A mild steel workpiece is being machined by two different tools 'A...
Correct your answer please. you putting wrong data in equations.
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A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. Can you explain this answer?
Question Description
A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. 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 mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. 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 mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. Can you explain this answer?.
A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. 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 mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. 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 mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. Can you explain this answer?.
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A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. Can you explain this answer?, a detailed solution for A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. Can you explain this answer? has been provided alongside types of A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools areTool A VT0.31 = 43.3Tool B VT0.43 = 89.5Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better toollife__________________ m/sCorrect answer is between '4.6,4.8'. Can you explain this answer? theory, EduRev gives you an
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