assign22k6 - The system is heated to 120 ◦ C . Calculate...

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Physics 153 Assignment 2 Due Friday September 22, 2006 by 5:30pm In the following problems use the following constants: α steel = 11 × 10 - 6 /K - 1 α brass = 19 × 10 - 6 /K - 1 α Al = 23 × 10 - 6 /K - 1 Y steel = 200 × 10 9 N/m 2 1. A composite bar of length L = L 1 + L 2 is made from a bar of material 1 and length L 1 attached to a bar of material 2 and length L 2 , as shown. (a) Show the effective coefficient of linear expansion is α = ( α 1 L 1 + α 2 L 2 ) L . (b) Using steel and brass, design such a composite bar whose length is 52.4 cm and whose effective coefficient of linear expansion is 13 . 0 × 10 - 6 K - 1 . material 1 material 2 L 2. A thick aluminum rod and thin steel wire is attached in parallel, as shown. The temperature is 10 . 0 C . Both the rod and wire are 85 . 0 cm long and neither is under stress.
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Unformatted text preview: The system is heated to 120 ◦ C . Calculate the resulting stress in the wire, assuming that the rod expands freely. aluminum rod wire 3. A steel rod is 3 . 000 cm in diameter at 25 ◦ C . A brass ring has an interior diameter of 2 . 992 cm at 25 ◦ C . At what common temperature will the ring just slide onto the rod? 4. A grandfather’s clock is calibrated at a temperature of 20 ◦ C . The pendulum is a thin brass rod with a heavy mass attached to the end. On a hot day, when the temperature is 30 ◦ C does the clock “run” fast or slow? How much time does it gain or lose in a 24 hour period? 1...
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This note was uploaded on 07/20/2009 for the course PHYS physics 10 taught by Professor Goatman during the Spring '08 term at UBC.

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