Numerical problems I — task. Science State Board, Class 10.

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Find the final temperature of a copper rod. Whose area of cross section changes from 10

$m^{2}$ to 11

$m^{2}$ due to heating. The copper rod is initially kept at 90 K. (Coefficient of superficial expansion is $0.0021$

$K^{- 1}$ )

From the data,

Area of a copper red before expansion (

$A_{1}$ )

$=$ 10

$m^{2}$

Area of a copper red after expansion (

$A_{2}$ )

$=$ 11

$m^{2}$

Initial temperature of a copper rod (

$T_{1}$ )

$=$ 90

$K$

Coefficient of superficial expansion of copper (

$β$ )

$=$

$0.0021$

$K^{- 1}$

The formula to calculate the change in area,

$Δ i = β \times i_{i} \times (i_{i} - i_{i})$

Substitute the known values,

Final temperature of a copper rod

$=$

$K$

$1$

Did you find an error?

12. Numerical problems I