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Zorluk: OrtaThermal Expansion and Contraction

During the design of an engine, three identical metal rods must be evaluated for clearance changes due to heat. The rods are made of aluminum, brass, and carbon steel. If all three rods begin at the same initial length and are subjected to the exact same increase in operating temperature, arrange the metals in order from the LEAST amount of linear thermal expansion to the GREATEST amount of linear thermal expansion.

  1. 1Carbon steel rod
  2. 2Brass rod
  3. 3Aluminum rod

Cevap

The correct order from least to greatest expansion is: Carbon steel rod, Brass rod, Aluminum rod.
Materials possess different coefficients of linear thermal expansion. Among common engineering metals, carbon steel expands the least per degree of temperature increase. Brass expands significantly more than steel, and aluminum expands more than both brass and steel. Therefore, when identical lengths are heated equally, the steel rod will have the shortest final length, brass will be intermediate, and aluminum will be the longest.

Adım Adım Çözüm

1
Identify the relevant mechanical property governing the change in length.
The amount of expansion depends on the material's coefficient of linear thermal expansion.
Different materials expand at different rates when subjected to the exact same temperature change.
2
Compare the thermal expansion rates of the given metals.
Carbon steel has a relatively low coefficient, brass is intermediate, and aluminum has a highly expansive coefficient compared to the others.
Knowledge of basic material properties is essential for predicting mechanical behavior under thermal stress.
3
Order the materials according to the prompt's instructions.
The sequence is carbon steel (least), then brass, then aluminum (greatest).
The prompt specifically asks for the order starting from the LEAST amount of expansion.

Anahtar Kavram

Coefficient of Linear Thermal Expansion
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Konular

Thermal Expansion and Contraction

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