Question

A steel aircraft carrier is 370 m long when moving through the icy North Atlantic at a temperature of 2.0 °C. By how much does the carrier lengthen when it is traveling in the warm Mediterranean Sea at a temperature of 21 °C?

Answer 1

The carrier lengthen is 0.08436 m.

Step-by-step explanation:

Given that,

Length = 370 m

Initial temperature = 2.0°C

Final temperature = 21°C

We need to calculate the change temperature

Using formula of change of temperature

`\Delta T=T_(f)-T_(i)`

`\Delta T=21-2.0`

`\Delta T=19^(\circ)C`

We need to calculate the carrier lengthen

Using formula of length

`\Delta L=\alpha_(steel)* L_(0)*\Delta T`

Put the value into the formula

`\Delta L=1.2*10^(-5)*370*19`

`\Delta L=0.08436\ m`

Hence, The carrier lengthen is 0.08436 m.