Temperature Required for Brass Plug and Iron Ring to Fit

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SUMMARY

To determine the common temperature at which a brass plug (8.755 cm diameter) fits into an iron ring (8.745 cm diameter), one must apply the coefficients of linear expansion for both materials. The coefficient for brass is 10 x 10-6 (°C)-1 and for iron is 12 x 10-6 (°C)-1. By calculating the temperature change required for both materials to reach a diameter equality, the solution can be derived using the formula for linear expansion.

PREREQUISITES
  • Understanding of linear expansion principles
  • Familiarity with the coefficients of linear expansion
  • Basic algebra for solving equations
  • Knowledge of temperature conversion and measurement
NEXT STEPS
  • Calculate the temperature change using the formula for linear expansion
  • Research the application of linear expansion in engineering contexts
  • Explore the effects of temperature on material properties
  • Learn about thermal expansion coefficients for other materials
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Students in physics or engineering, materials scientists, and anyone involved in thermal expansion calculations or material fitting processes.

Jayhawk1
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A brass plug is to be placed in a ring made of iron. At room temperature (20oC), the diameter of the plug is 8.755 cm and that of the inside of the ring is 8.745 cm. They must be brought to what common temperature (in Co) in order to fit? The coefficient of linear expansion for brass is 10x10-6(Co)-1 and that for iron is 12x10-6(Co)-1.

I don't know what to do with this... I know I have to subtract and divide some of these numbers, but I have no clue as to how to do it exactly. I need help please! Thank you.,
 
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Jayhawk1 said:
A brass plug is to be placed in a ring made of iron. At room temperature (20oC), the diameter of the plug is 8.755 cm and that of the inside of the ring is 8.745 cm. They must be brought to what common temperature (in Co) in order to fit? The coefficient of linear expansion for brass is 10x10-6(Co)-1 and that for iron is 12x10-6(Co)-1.

I don't know what to do with this... I know I have to subtract and divide some of these numbers, but I have no clue as to how to do it exactly. I need help please! Thank you.,

https://www.physicsforums.com/showthread.php?p=543205#post543205
 
Last edited:
I still am confused...

I need more help please.
 

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