Hence the expression of ω in terms of m and k is

Given the expressions;

Equating both expressions we will have;

Divide both equations by 2π

Square both sides

Take the square root of both sides

Hence the expression of ω in terms of m and k is

Answer:
K=24.17 x 10⁻² J s⁻¹c⁻¹m⁻¹
Explanation:
Rate of flow of heat through a material is given by the following expression

where Q is amount of heat flowing in time t through area A and a medium of thickness d having two faces at temperature difference δT . K is thermal conductivity of the medium .
Here Q = 3.34 x 10⁶/6 , t = 24 x 60 x 60 = 86400 s , A = .332 X .332 = .0110224 m² , δT = 104.7
Put these values here


K=24.17 x 10⁻² J s⁻¹c⁻¹m⁻¹
Density is mass divides by volume, so
89.6g / 10cm^3 =8.96g /cm^3
*cm^3 is a standard unit of volume*