Linear thermal expansion of steel

AI Thread Summary
The discussion focuses on calculating the effects of linear thermal expansion on steel objects. It presents two problems: determining the temperature at which a steel plug's diameter shrinks to 9.986 cm and finding the length of a steel measuring tape at 35 degrees Celsius. Participants are encouraged to understand the concept of linear thermal expansion and the coefficient of linear expansion for steel. The importance of attempting the problems and discussing the underlying principles is emphasized. Understanding these calculations is essential for accurate measurements in varying temperatures.
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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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