Answer to Question #296767 in Mechanics | Relativity for micheal

Question

1)   A glass window is exactly 20 cm by 30 cm at 10 ⁰C. By how much would its area increase in cm² when

 

its temperature is 40 ⁰C? Take the linear expansivity of glass to = 9 X 10^-6 / C⁰.

Answer 1

Solution

Area A=20*30cm² =0.06m²

T=10°C

A'=?

T=40°C

linear expansivity of glass to = 9 X 10^-6/°C

So area becomes as

$A'=A(1+\alpha \Delta T) \\ =0.06(1+9*10^{-6}\times30) \\=0.06*1.00093\\=0.0600558m^2$