Figure below shows bimetallic strip at room temperature and the same strip at \( 100^{\circ} \mathrm{C} \). Compare linear expansivity values of the two metals.
Added by Tammy J.
Close
Step 1
It is straight, indicating that both metals have the same length initially. Show more…
Show all steps
Your feedback will help us improve your experience
Maitreya E and 84 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A 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 coefficient of expansion expands more than the other, forcing the strip into an arc with the outer radius having a greater circumference (Fig. Pl9.48). Derive an expression for the angle of bending $\theta$ 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 $\left(\Delta r=r_{2}-r_{1}\right) \cdot(\text { b) Show that the angle }$ of bending decreases to zero when $\Delta T$ decreases to zero and also when the two average coefficients of expansion become equal. (c) What If? What happens if the strip is cooled?
Timothy J.
Suppose a bimetallic strip is constructed of two strips of metals with linear expansion coefficients $\alpha_{1}$ and $\alpha_{2},$ where $\alpha_{1}>\alpha_{2}$ a) If the temperature of the bimetallic strip is reduced by $\Delta T$, which way will the strip bend (toward the side made of metal 1 or the side made of metal 2)? Briefly explain. b) If the temperature is increased by $\Delta T$, which way will the strip bend?
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD