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 \(=\) \(K\)

Did you find an error?

12. Numerical problems I