In Order to Make a Tight Fit Between Two Metal $\circ$

question 10

Multiple Choice

In order to make a tight fit between two metal parts,machinists sometimes make the interior part larger than the hole into which it will fit,and then either cool the interior part or heat the exterior piece so that the pieces will fit.Consider fitting an aluminum rod with diameter D₁ (at 25 ^$\circ$ C) into a D₂ = 12.000 mm (at 25 ^$\circ$ C) diameter hole in a brass plate.The machinists can cool the rod to 77 K by immersing it in liquid nitrogen.What is the largest possible diameter D₁ of the rod at 25 ^$\circ$ C that will just fit into the hole if the rod has been cooled to 77 K and the brass plate has been left at 25 ^$\circ$ C? The coefficients of thermal expansion for aluminum and brass are 22 * 10^-6 K^-1 and 19*10^-6 K^-1,respectively.

• A)11.941 mm
• B)12.000 mm
• C)12.014 mm
• D)12.032 mm
• E)12.058 mm

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Definitions:

Reinforcer

Any stimulus that increases the likelihood of a preceding behavior being repeated.

Intervention

A method or technique used to alter the course of an issue or problem, often applied in clinical, educational, or social contexts to improve outcomes.

Interobserver Reliability

A measure of the extent to which different observers produce consistent estimates or ratings of the same phenomenon, ensuring data accuracy.

Recording Technique

A method used to document or track specific behaviors, responses, or events, often utilized in research or behavioral analysis.