Calculate the stress developed inside a tooth cavity filled with coppe

1.	Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57oC is drunk. You can take body (tooth) temperature to be 37o C and α = 1.7× 10-5/oC, bulk modulus for copper = 140 × 10 9 N/m2.
Answer» Stress = K × strain = K(ΔV/V) =K(3α)Δt = 140 x 10⁹ x 3 x 1.7 x 10^-5 x 20 = 1.428 x 10⁸ N/m² This is about 10³ times atmospheric pressure

Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57oC is drunk. You can take body (tooth) temperature to be 37o C and α = 1.7× 10-5/oC, bulk modulus for copper = 140 × 10 9 N/m2.

Answer»

Stress = K × strain

= K(ΔV/V)

=K(3α)Δt

= 140 x 10⁹ x 3 x 1.7 x 10^-5 x 20

= 1.428 x 10⁸ N/m²

This is about 10³ times atmospheric pressure