Question

Uma placa metálica tem área 100 cm³ a 30°C. Qual será a área da placa a 50°C?
Dado: a = 12 . 10-6°C-1

Answer 1

$\Delta\,t=50-30=20^{\circ}C$

$\beta=2\alpha=2.12.{10}^{-6}=24.{10}^{-6}{^{\circ}C}^{-1}$

$s_{0}=100{cm}^{2}$

$\mathsf{\Delta\,s=s_{0}.\beta.\Delta\,t}\\\mathsf{\Delta\,s=100.24.{10}^{-6}.20}\\\mathsf{\Delta\,s={10}^{2}.24.{10}^{-6}</p><p>. 2.10}$

$\mathsf{\Delta\,s=48.{10}^{-3}=0,048{cm}^{2}}$

$\mathsf{s=s_{0}+\Delta\,s}\\\mathsf{s=100+0,048}$

$\boxed{\boxed{\boxed{\mathsf{s=100,048{cm}^{2}}}}}$