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If Taylor’s tool life exponent ‘n’ is 0.25 and the tool change time is 2 minutes, then the tool life (in a minute) for maximum production rate is
  • a)
    6 minutes
  • b)
    4 minutes
  • c)
    2 minutes
  • d)
    1 minute
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If Taylor’s tool life exponent ‘n’ is 0.25 and the tool change time i...
Tool life for maximum production
Where Tc is the tool changing time (in min)
n = Tool life exponent
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Most Upvoted Answer
If Taylor’s tool life exponent ‘n’ is 0.25 and the tool change time i...
Taylor's tool life equation is given by:
T = C * (V^(-n))

Where:
T = Tool life
C = Constant
V = Cutting speed
n = Tool life exponent

In this question, the value of 'n' is given as 0.25 and the tool change time is 2 minutes. We need to find the tool life for maximum production rate.

To find the tool life for maximum production rate, we need to find the cutting speed (V) at which the tool life is maximum. This can be done by differentiating the tool life equation with respect to cutting speed (V) and equating it to zero.

Differentiating the tool life equation with respect to cutting speed (V), we get:
dT/dV = -C * n * V^(-n-1)

Setting dT/dV = 0, we have:
-C * n * V^(-n-1) = 0

Since C and n are constants, the only way for the equation to be satisfied is when V^(-n-1) = 0. This implies that V = 0.

However, cutting speed cannot be zero as it is a measure of how fast the tool is cutting. Therefore, the tool life cannot be maximized at V = 0.

Hence, the tool life for maximum production rate is not possible.

Therefore, the correct answer is option 'A' - None of the above.
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If Taylor’s tool life exponent ‘n’ is 0.25 and the tool change time is 2 minutes, then the tool life (in a minute) for maximum production rate isa)6 minutesb)4 minutesc)2 minutesd)1 minuteCorrect answer is option 'A'. Can you explain this answer?
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If Taylor’s tool life exponent ‘n’ is 0.25 and the tool change time is 2 minutes, then the tool life (in a minute) for maximum production rate isa)6 minutesb)4 minutesc)2 minutesd)1 minuteCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If Taylor’s tool life exponent ‘n’ is 0.25 and the tool change time is 2 minutes, then the tool life (in a minute) for maximum production rate isa)6 minutesb)4 minutesc)2 minutesd)1 minuteCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Taylor’s tool life exponent ‘n’ is 0.25 and the tool change time is 2 minutes, then the tool life (in a minute) for maximum production rate isa)6 minutesb)4 minutesc)2 minutesd)1 minuteCorrect answer is option 'A'. Can you explain this answer?.
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