When the pioneers where crossing the plains in covered wagons, a metal rim could be attached to a wagon wheel by heating the rim to expand it and then placing it over the wheel before it cooled. the shrink-attachment would firmly hold the rim in place and strengthen the wooden wheel. Suppose a certain wooden wagon wheel has an outer circumference of 300.0cm and that its iron rim an inside circumference of 299.5 cm when it is 15 degrees C. To what temperature must the rim be heated so that it will just fit over the wheel?
When the pioneers where crossing the plains in covered wagons, a metal rim could be attached to a wagon wheel by heating the rim to expand it and then placing it over the wheel before it cooled. the shrink-attachment would firmly hold the rim in place and strengthen the wooden wheel. Suppose a certain wooden wagon wheel has an outer circumference of 300.0cm and that its iron rim an inside circumference of 299.5 cm when it is 15 degrees C. To what temperature must the rim be heated so that it will just fit over the wheel?
The change in length due to thermal expansion is calculated by using the formula , where is the final length , is the initial length , is the thermal linear coefficient , is the final temperature and is the initial temperature .
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