Question

The temperature of a m long metal bar is C at one end and C at the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar?

Answer 1

The average temperature of the metal bar is $\frac{2C}{m}$.

Average temperature of the metal bar

The average temperature of the metal bar is the ratio of the total temperature between the cold and hot part to the entire length of the metal bar.

The average temperature of the metal bar us calculated as follows;

$T_{avg} = \frac{C+ C}{m} \\\\T_{avg} = \frac{2C}{m}$

Thus, the average temperature of the metal bar is $\frac{2C}{m}$.

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