The bulk modulus of a material is 3.5 ✕ 1011 N/m2. What percent fractional change in volume does a piece of this material undergo when it is subjected to a bulk stress increase …

Question

asked May 23, 2021 146k views

1 Answer

Sumit Gupta · Answer 1 · 2021-05-29T19:34:51+0000

Answer:

percentage change in volume = 0.00285 %

Step-by-step explanation:

given data

bulk modulus = 3.5 ×
10^(11) N/m²

bulk stress =
10^(7) N/m²

solution

we will apply here bulk modulus formula that is

bulk modulus =
$(bulk\ stress)/(bulk\ strain)$ ...............1

put here value and we get

3.5 ×
10^(11) =
$(10^7)/(bulk\ strain)$

solve it we get

bulk strain = 2.8571 ×
10^(-5)

and

bulk strain =
$(change\ volume)/(original\ volume)$

so that percentage change in volume is = 2.8571 ×
10^(-5) × 100

percentage change in volume = 0.00285 %