Let a metallic rod 20 cm long be heated to a uniform temperature of 100° C. Suppose that at t = 0, the ends of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature, but that no heat is allowed to escape through the lateral surface. Find an expression for the temperature at any point in the bar at any later time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 76E
icon
Related questions
Question

My question is to find the temperature of the bar at t= 30 seconds, if alpha2=0.12

Let a metallic rod 20 cm long be heated to a uniform temperature of 100° C. Suppose that
at t = 0, the ends of the bar are plunged into an ice bath at 0° C and thereafter
maintained at this temperature, but that no heat is allowed to escape through the lateral
surface. Find an expression for the temperature at any point in the bar at any later time.
Transcribed Image Text:Let a metallic rod 20 cm long be heated to a uniform temperature of 100° C. Suppose that at t = 0, the ends of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature, but that no heat is allowed to escape through the lateral surface. Find an expression for the temperature at any point in the bar at any later time.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning