QC SA bimetallic strip of length L is made of two ribbons of different metals bonded together. (a) First assume the strip is originally straight. As the strip is warmed, the metal with the greater average coeffi- cient of expansion expands more than the other, forcing the strip into an arc, with the outer radius having a greater circumfer- ence (Fig. P10.65). Derive an expression for the angle of bending, 0, as a function of the initial length of the strips, their average coefficients of linear expansion, the change in temperature, and the separation of the centers of the strips (Ar = r2 – n). (b) Show that the angle of bending goes to zero when ATgoes to zero and also when the two average coefficients of expansion become equal. (c) What happens if the strip is cooled? Figure P10.65

QC SA bimetallic strip of length L is made of two ribbons of different metals bonded together. (a) First assume the strip is originally straight. As the strip is warmed, the metal with the greater average coeffi- cient of expansion expands more than the other, forcing the strip into an arc, with the outer radius having a greater circumfer- ence (Fig. P10.65). Derive an expression for the angle of bending, 0, as a function of the initial length of the strips, their average coefficients of linear expansion, the change in temperature, and the separation of the centers of the strips (Ar = r2 – n). (b) Show that the angle of bending goes to zero when ATgoes to zero and also when the two average coefficients of expansion become equal. (c) What happens if the strip is cooled? Figure P10.65

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

QC SA bimetallic strip of length L is
made of two ribbons of different metals
bonded together. (a) First assume the strip
is originally straight. As the strip is warmed,
the metal with the greater average coeffi-
cient of expansion expands more than the
other, forcing the strip into an arc, with the
outer radius having a greater circumfer-
ence (Fig. P10.65). Derive an expression
for the angle of bending, 0, as a function of
the initial length of the strips, their average coefficients of linear
expansion, the change in temperature, and the separation of
the centers of the strips (Ar = r2 – n). (b) Show that the angle
of bending goes to zero when ATgoes to zero and also when the
two average coefficients of expansion become equal. (c) What
happens if the strip is cooled?
Figure P10.65

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