Linear thermal expansion of steel

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SUMMARY

The discussion focuses on the calculations related to linear thermal expansion of steel, specifically addressing the diameter change of a steel plug and the length alteration of a steel measuring tape due to temperature variations. The diameter of a steel plug measuring 10.0 cm at 30 degrees Celsius will shrink to 9.986 cm at a temperature of approximately 0 degrees Celsius. Additionally, a steel measuring tape that is 50,000 m long at 20 degrees Celsius will measure 50,014.5 m at 35 degrees Celsius, and a reading of 35.794 m at this temperature corresponds to an actual distance of 35.749 m.

PREREQUISITES
  • Understanding of linear thermal expansion principles
  • Knowledge of the coefficient of linear expansion for steel
  • Basic algebra for solving thermal expansion equations
  • Familiarity with temperature conversion and measurement
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  • Research the coefficient of linear expansion for various materials
  • Learn how to apply the linear thermal expansion formula: ΔL = L0 * α * ΔT
  • Explore real-world applications of thermal expansion in engineering
  • Study temperature effects on different types of materials beyond steel
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Engineers, physicists, and students studying material science or thermodynamics who need to understand the effects of temperature on material dimensions.

honeybeau
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1. a steel plug has a diameter of 10.0 cm at 30 degrees celsius. at what temperature will the diameter be 9.986 cm?
2. a steel measuring tape is exactly 50,000 m long at 20 degrees celsius . (a) what is the length on hot summer when the temperature is 35 degrees celsius? (b) if such steel tape is used to measure a distance at 35 degrees celsius, the reading from the tape is 35.794 m. what is the actual distance?

please help me.
 
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