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.
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
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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My question is to find the temperature of the bar at t= 30 seconds, if alpha2=0.12
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