Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Introductory Physics Homework Help
Thermal Expansion of a metal ring
Reply to thread
Message
[QUOTE="SiriusAboutAstronomy, post: 4288772, member: 450412"] [h2]Homework Statement [/h2] A ring of aluminum has a hole in the middle. When the ring is heated: a) the hole decreases in diameter b) the aluminum expands outward and the hole remains the same size. c) the area of the hole expands by the same percent as the area of the aluminum. d) the area of the hole expands by a greater percent than the area of the aluminum. e) the linear expansion causes the hole to expand in a slightly elliptical pattern. [h2]Homework Equations[/h2] ΔA=[itex]\alpha[/itex]AΔT [itex]\alpha[/itex]=area thermal expansion coefficient A=area T=temperature [h2]The Attempt at a Solution[/h2] I know the hole gets larger. What I can't figure out is whether the hole expands by the same percent of the area of by a greater percent. I want to say that it will expand at a greater percent because the metal expands everywhere in one dimension but area is in two dimensions (if that makes any sense). Like the area of the circle is ∏r[SUP]2[/SUP], but the area of the ring is ∏(R[SUP]2[/SUP]-r[SUP]2[/SUP]) with big R being the outer radius and little r being the inner radius. Because of this formula, wouldn't the inside expand by a greater amount than the outside. I've been thinking about this problem so long I've kinda gotten burnt out at looking at it from any other angles... [ATTACH=full]159464[/ATTACH] [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Introductory Physics Homework Help
Thermal Expansion of a metal ring
Back
Top