The device is used to measure a change in temperature. Bars...

The device is used to measure a change in temperature. Bars $A B$ and $C D$ are made of $A-36$ steel and $2014-$ T 6 aluminum alloy, respectively. When the temperature is at $75^{\circ} \mathrm{F}, A C E$ is in the horizontal position. Determine the vertical displacement of the pointer at $E$ when the temperature rises to $150^{\circ} \mathrm{F}$

Key Concepts

Coefficient of Linear Expansion

The coefficient of linear expansion is a material property that measures the fractional change in length per unit temperature change. It is crucial for quantifying how different materials will expand or contract when subjected to temperature variations, and it underpins the calculation of deformation in structures like bimetallic strips.

Temperature Measurement via Mechanical Displacement

This concept involves utilizing the mechanical deformation produced by differential thermal expansion to determine temperature changes. In such devices, the amount of bending or change in position (for example, the displacement of a pointer) is directly related to the temperature variation, allowing for temperature measurement based on observed mechanical movement.

Thermal Expansion

Thermal expansion is the phenomenon where a material changes its dimensions in response to temperature changes. This principle is quantified by the material's coefficient of linear expansion, which determines how much its length increases (or decreases) with a change in temperature. In devices that rely on differential thermal expansion, varying expansion rates between materials are key to creating measurable mechanical displacements.

Bimetallic Strip Operation

Bimetallic strips consist of two different materials bonded together, each with its own coefficient of thermal expansion. As the temperature changes, the two metals expand at different rates, causing the strip to bend. This bending is harnessed in various temperature sensing and control devices to translate temperature changes into mechanical motion.

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