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What will be the percentage change in cutting speed required to give an 80% reduction in tool life (i.e. to reduce tool life to one-fifth of its former value), when the value of n = 0.12. (Answer up to one decimal places)
    Correct answer is '21.3'. Can you explain this answer?
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    What will be the percentage change in cutting speed required to give ...
    Calculation of Percentage Change in Cutting Speed

    Given data:
    n = 0.12
    Reduction in tool life (T) = 80%
    New tool life (T1) = T/5 = 20%

    We know that the Taylor's tool life equation is given by:
    T1/T = (V1/V)^n

    Where,
    T = Tool life
    V = Cutting speed
    n = Exponent for the material being machined

    So, we can write the above equation as:
    (V1/V)^n = T1/T
    (V1/V)^0.12 = 0.2/1 (Substituting the given values)
    (V1/V) = (0.2/1)^1/0.12
    (V1/V) = 0.686

    Now, we need to find the percentage change in cutting speed required to reduce tool life by 80%. This can be calculated using the following formula:

    Percentage change in V = [(V1 - V)/V] x 100

    Substituting the values, we get:
    [(0.686V - V)/V] x 100 = -21.3%

    Therefore, the percentage change in cutting speed required to give an 80% reduction in tool life when n = 0.12 is -21.3%.
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    What will be the percentage change in cutting speed required to give ...
    Increasing in cutting speed = 21.3%
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    What will be the percentage change in cutting speed required to give an 80% reduction in tool life (i.e. to reduce tool life to one-fifth of its former value), when the value of n = 0.12. (Answer up to one decimal places)Correct answer is '21.3'. Can you explain this answer?
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