Mechanical Principles, question on linear expansion of aluminium.

[RingwoodPye]

Homework Statement

Question: If the linear expansivity of aluminium is 24 x 10^-6 K^-1, how much does the aluminium expand during the heating?

Homework Equations

As far as additional information on the question goes;
An aluminium rod is heated from 15 degrees Celsius to 120 degrees Celsius. The dimensions of the aluminium rod are 12mm (diameter) x 1.2m long. The density of aluminium is 2700 kg per meters cubed.

The Attempt at a Solution

So far I'm completely stumped, we may have covered it but I literally cannot work it out.

 

[Mapes]

Hi RingwoodPye, welcome to PF.

The linear thermal expansion coefficient is the proportional increase in every (unconstrained) distance per degree temperature increase. That is, a value of 0 K^-1 would mean no expansion, and a value of 1 K^-1 would mean a 100% expansion per degree. Knowing this, can you calculate the new diameter and the new length?