16. As part of a heat-treating process, an alloy-steel billet, initially at 1032°F, is cooled in a 32°F air stream. The temperature history of the billet is shown in the figure at right.(adsbygoogle = window.adsbygoogle || []).push({});

What is the time constant τ for the cooling process?

I have attached an image of the question.

I have the equation:

T = T_{∞}+ (T_{i}-T_{∞})e^{-t/τ}

I know that:

T_{∞}= 32°F

T_{i}= 1023°F

But I'm a little uncertain about the time. If I take the max temperature value, 1032°F, and multiply this by 0.368, would this give me the time and temperature at one time constant?

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# What is the time constant of the cooled steel billet?

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