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15 September, 23:06

A cutting tool fails due to flank wear while machining. It is observed that the tool life at a cutting speed of 160 m/min is 5 min, while at 120 m/min, it is 17 min. What is the approximate tool life at a cutting speed of 100 m/min?

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  1. 15 September, 23:25
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    The answer is:

    30 minutes.

    Step-by-step explanation:

    We are given the following information:

    at 160 m/min, tool life = 5 min.

    at 120 m/min, tool life = 17 min.

    This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:

    speed = 160 - 120 = 40 m/min

    tool life = 17 - 5 = 12 min.

    Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.

    40 m/min = 12 min

    ∴ 1 m/min = 12/40 min.

    ∴ 100 m/min = 12/40 * 100 = 0.3 * 100 = 30 min.
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