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Thread: A circular...

  1. July 31st 2006, 04:28 PM #1
    babygirl
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    Exclamation A circular...

    A circular steel plate of radius 0.10 m is cooled from 350oC to 20oC. By what percentage does the plate's area decrease?
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  2. August 1st 2006, 05:24 AM #2
    CaptainBlack
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    Quote Originally Posted by babygirl
    A circular steel plate of radius 0.10 m is cooled from 350oC to 20oC. By what percentage does the plate's area decrease?
    The coefficient of linear expansion of steel is \alpha=12 \times 10^{-6}/^{\circ} K, so in coolling by \Delta T=330^{\circ} C\ (=330^{\circ} K) the radius shrinks from 0.1\ \mbox{m} to 0.1-0.1\times \alpha \times \Delta T or by a fraction \alpha \times \Delta T , so the area reduces by about twice this as a fraction or 2 \times \alpha \times \Delta T\approx 2 \times 12 \times 10^{-6} \times 330 = 0.00792 , or 0.792 \%.

    RonL
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