A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature is given by the function f(x) = 100 - 10x degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant 0 degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then Us (2, 0.1). Put us (2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature is given by the function f(x) = 100 - 10x degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant 0 degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then Us (2, 0.1). Put us (2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please use radian measure
Transcribed Image Text:A thin bar of length L = 3 meters is situated along the x axis
so that one end is at x = 0 and the other end is at x = 3.
The thermal diffusivity of the bar is k = 0.4. The bar's initial
temperature is given by the function f(x) = 100 -
= 100 - 10x
degrees Celsius. The ends of the bar (x = 0 and x = 3) are
then put in an icy bath and kept at a constant 0 degrees C.
Let u(x, t) be the temperature in the bar at x at time t,
with t measured in seconds. Find u(x, t) and then
uz (2, 0.1).
Put us (2, 0.1) calculated accurately to the nearest
thousandth (3 decimal places) in the answer box.
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