Question

A street bridge is 5.5m long if the linear expansion of steel is 0.00001 oc How much will it expand when temperatures is by 10oc? Give answer in Cm

Answer 1

Answer:

$l_o=550.055\ cm$

Explanation:

Given that,

Length of a street bridge, l = 5.5 m

The coefficient of bridge, $\alpha =0.00001 ^0 C$

We need to find how much will it expand when temperatures is by 10°C.

The change in length per unit original length is given by :

$\dfrac{\Delta l}{l}=\alpha \Delta T\\\\\Delta l = l\alpha \Delta T\\\\=5.5\times 0.00001 \times 10\\\\\Delta l=0.00055\\\\(l_o-l)=0.00055\\\\l_o=0.00055+5.5\\\\=5.50055\ m\\\\l_o=550.055\ cm$

Hence, the length will expanded 550.055 cm.