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
Section2.7: More On Inequalities
Problem 44E
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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.
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