Aluminum rivets used in airplane construction are made slightly larger than the rivet holes and cooled by "dry ice" (solid co2) before being driven.
if the diameter of a hole is 4.500 mm, what should be the diameter of a rivet at 23.0 *c, if its diameter is to equal that of the hole when the rivet is cooled to - 78.0 *c, the temperature of dry ice? assume that the expansion coefficient of aluminum is 2.4

Explanation:

Given:

Let the diameter of the rivet at be , such that,

is the elongation in the diameter of the rivet.

We know, The change in the diameter of the rivet is related with the change in temperature as:

where, is the change in temperature =

Also,

Using these values,

It is the required diameter of the rivet at .

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