Question

Critical Thinking The iron ring in Figure $13-23$ was made by cutting a small piece from a solid ring. If the ring in the figure is heated, will the gap become wider or narrower? Explain your answer.

   Critical Thinking The iron ring in Figure $13-23$ was made by cutting a small piece from a solid ring. If the ring in the figure is heated, will the gap become wider or narrower? Explain your answer.

Physics Principle and Problems

Physics Principle and Problems

Paul W. Zitzewitz,… 1st Edition

Chapter 13, Problem 50

Instant Answer

Solved by Expert Dading Chen

05/25/2020

Step 1

The equation for the coefficient of volumetric expansion is given by $\Delta V = \beta V_1 \Delta T$. Here, $\Delta V$ is the change in volume, $\beta$ is the coefficient of volumetric expansion, $V_1$ is the initial volume, and $\Delta T$ is the change in Show more…

Show all steps

lock

Thanks for your feedback!

Critical Thinking The iron ring in Figure $13-23$ was made by cutting a small piece from a solid ring. If the ring in the figure is heated, will the gap become wider or narrower? Explain your answer.

Play audio

Feedback

Powered by NumerAI

Dading Chen and 96 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Thermal Expansion

Thermal expansion is the tendency of matter to change its dimensions in response to a change in temperature. When a material such as metal is heated, its atoms vibrate more vigorously and move further apart, causing the overall size—and in the case of a ring, the circumference—to increase.

Uniform Expansion of Solids

Uniform expansion refers to the phenomenon where an object expands evenly in all directions when heated. In the context of a ring with a gap, every part of the ring, including the edges that define the gap, will expand by the same proportion, causing the gap to widen as the overall dimensions of the ring increase.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later