A copper collar is to fit tightly about a steel shaft whose diameter is 6.0045 cm at 24 degrees...

Question:

A copper collar is to fit tightly about a steel shaft whose diameter is {eq}6.0045 \, \mathrm{cm} {/eq} at {eq}24 \, \mathrm{^\circ C} {/eq}. The inside diameter of the copper collar at that temperature is {eq}5.9800 \, \mathrm{cm} {/eq}.

To what temperature must the copper collar be raised so that it will just slip on the steel shaft, assuming the temperature of both the steel shaft and copper collar are raised simultaneously?

Thermal Expansion of Metals:

Metals each have their own coefficients of thermal expansion. This value is used to determine the linear expansion of metals when exposed to an increase or decrease in temperature.

Answer and Explanation:

Given the conditions of the problem, the copper collar must be raised to a temperature of 1465° Celsius.

The expression for the thermal...

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Thermal Expansion: Definition, Equation & Examples

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Chapter 12 / Lesson 3
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