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562_Physics ProblemsTechnical Physics

# 562_Physics ProblemsTechnical Physics - 564 P19.54...

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564 Temperature P19.54 The angle of bending θ , between tangents to the two ends of the strip, is equal to the angle the strip subtends at its center of curvature. (The angles are equal because their sides are perpendicular, right side to the right side and left side to left side.) (a) The definition of radian measure gives L L r i + = 1 1 θ and L L r i + = 2 2 θ By subtraction, L L r r 2 1 2 1 = θ b g α α θ θ α α 2 1 2 1 L T L T r L T r i i i = = b g FIG. P19.54 (b) In the expression from part (a), θ is directly proportional to T and also to α α 2 1 b g . Therefore θ is zero when either of these quantities becomes zero. (c) The material that expands more when heated contracts more when cooled, so the bimetallic strip bends the other way. It is fun to demonstrate this with liquid nitrogen. (d) θ α α π = = ×
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