Question

A copper telephone wire has essentially no sag between poles 36.0 m apart on a winter day when the temperature is −20.0°C. How much longer is the wire on a summer day when the temperature is 34.0°C?

Answer 1

The extension is
`\Delta L = 0.033 \ m`

Step-by-step explanation:

From the question we are told that

The length of the wire on a winter day is
`L_w = 36.0 \ m`

The temperature on the winter day is
`T_w = -20.0 ^o C`

The temperature on a summer day is
`T_s = 34.0 ^0 C`

The the extension of the wire on a summer day is mathematically represented as

`\Delta L = \alpha L_w [T_s - T_w]`

Where

`\alpha` is the coefficient of linear expansion of copper with a values
`\alpha = 17 *10^(-6)`

substituting value

`\Delta L = 17 *10^(-6) * 36.0 [34 - [-20]]`

`\Delta L = 0.033 \ m`