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11 November, 03:24

An aluminum baseball bat has a length of 0.661 m at a temperature of 12.4°C. When the temperature of the bat is raised, the bat lengthens by 0.000172 m. Determine the final temperature of the bat.

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  1. 11 November, 05:56
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    T=23.713 C

    Explanation:

    Knowing the bat lengthens by 0.000172m and the initial temperature 12.4 C to find the final temperature use the equation of length:

    ΔL = α * Lo * ΔT

    α=23x10^-6 C Aluminum constant

    T = To + ΔT

    ΔT = ΔL / α * Lo

    T = To + ΔL / α * Lo

    T = 12.4 C + 0.172x10^-3m / 23x10^-6C * 0.661m

    T=23.713 C
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