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# Temperatures for a Ring to Slip Over a Rod

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At 20 degrees celsius, aluminum ring has an inner diameter of 5.00 cm and a brass rod has a diameter of 5.050 cm. If both are heated together, what temperature must both reach so that the ring just slips over the rod? Would this process work?

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#### Solution Preview

At 20 degrees celsius, aluminum ring has an inner diameter of 5.00 cm and a brass rod has a diameter of 5.050 cm. If both are heated together, what temperature must both reach so that the ring just slips over the rod? Would this process work?

We are heating both the aluminum ring and the brass rod. Both will expand.

However both will expand by different amounts as the coefficient of expansion of Aluminum and brass are different. Aluminum expands at a faster rate then brass. Therefore ...

#### Solution Summary

The expert calculates the temperature at which an aluminum ring just slips over the brass rod.

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