Exercise 8. the temperature function in a laterally insulated rod made of copper is found (say experimentally) to be e-0.046t cos (0.2x). find the thermal diffusivity k of copper.

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Megan Saunders

Mathematics

26 September, 15:04

Exercise 8. the temperature function in a laterally insulated rod made of copper is found (say experimentally) to be e-0.046t cos (0.2x). find the thermal diffusivity k of copper.

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Annabella · Answer 1

U2 (x, t) = e^-k (w2^2) tcos (w2x)

= e^-0.046tcos (0.2x)

w2 = 0.2, w2^2 = 0.04

-0.046t = - k (w2^2) t

-0.046 = - k (0.2) ^2

-0.046 = - k (0.04)

1.15 = k