Question

4. A steel cable spanning a river is 220.000 m long when the temperature is 30.°C.

What will be its length when the temperature drops to 0°C? (The coefficient of
thermal expansion of steel is 12x10-6K-1).

Answer 1

219.9208 m

Step-by-step explanation:

The new length is given by

New length= Original length *(1-Temperature change*coefficient of

thermal expansion of steel)

Here, the change in temperature is
`30^(\circ)-0^(\circ)= 30^(\circ)`

New length=
`220.000(1-30*12x10^(-6)=219.9208m`

Therefore, the new length will be 219.9208 m