An aluminum rod is 10.0 cm long and a steel rod is 80.0 cm long when both rods are at a temperature of 15°C. Both rods have the same diamete

Question

An aluminum rod is 10.0 cm long and a steel rod is 80.0 cm long when both rods are at a temperature of 15°C. Both rods have the same diameter. The rods are now joined end-to-end to form a rod 90.0 cm long. If the temperature is now raised from 15°C to 90°C, what is the increase in the length of the joined rod? The coefficient of linear expansion of aluminum is 2.4 × 10-5 K-1 and that of steel is 1.2 × 10-5 K-1.

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Sapo 3 years 2021-08-25T05:03:05+00:00 1 Answers 164 views 0

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    2021-08-25T05:05:03+00:00

    Answer:

    0.9 cm

    Explanation:

    The computation in the increase in the length of the joined rod is shown below:

    As we know that

    Increase in length = increase in the length of aluminum rod + increase in The length of steel rod

    = 10cm \times 2.4e - 5\times (90-15) + 80cm\times 1.2e - 5\times (90-15)

    = 0.9 cm

    We simply added the length of aluminium rod and length of steel rod so that the length of the joined rod could come and the same is to be considered  

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