Question

If a temperature profile in a solid flat plate is given as T(x) = -190 x^3 + 40 x^2 +100 C. The thermal conductivity of the plate is 5 W/mK. Determine temperature at x = 2 cm;

Answer 1

The temperature at x = 2 cm in the given temperature profile is -1260 C.

Step-by-step explanation:

To determine the temperature at x = 2 cm in the given temperature profile we substitute the value of x into the equation T(x) = -190 x^3 + 40 x^2 +100 C:

T(2 cm) = -190 (2 cm)^3 + 40 (2 cm)^2 +100 C

T(2 cm) = -1520 + 160 + 100 C

T(2 cm) = -1260 C

Therefore, the temperature at x = 2 cm is -1260 C.