Q. If liquid pressure is increased from 4000 kN/m² to (b) Ir 6000 kN/m², the volume of liquid decreased by 0.2 percent, Determine the bulk modulus of elasticity of the liquid.
Q. If liquid pressure is increased from 4000 kN/m² to (b) Ir 6000 kN/m², the volume of liquid decreased by 0.2 percent, Determine the bulk modulus of elasticity of the liquid.
SOLUTION:
Bulk modulus of elasticity K = – (dp)/((dv)/v)
Change in pressure
p = 6000 – 4000
= 2000kN / (m ^ 2)
=(dv)/v
= 0.2/100
= 0.002
K = 2000/0.002
= 1.0 ^ 6 KNm²
Q. If liquid pressure is increased from 5000 kN/m² to (b) Ir 7000 kN/m², the volume of liquid decreased by 0.3 percent, Determine the bulk modulus of elasticity of the liquid.
SOLUTION:
Bulk modulus of elasticity K = – (dp)/((dv)/v)
Change in pressure
p = 8000 – 5000
= 3000kN / (m ^ 2)
=(dv)/v
= 0.3/100
= 0.003
K = 3000/0.003
= 1.0 ^ 6 KNm²
Q. If liquid pressure is increased from 1000 kN/m² to (b) Ir 5000 kN/m², the volume of liquid decreased by 0.4 percent, Determine the bulk modulus of elasticity of the liquid.
SOLUTION:
Bulk modulus of elasticity K = – (dp)/((dv)/v)
Change in pressure
p = 5000 – 1000
= 4000kN / (m ^ 2)
=(dv)/v
= 0.4/100
= 0.004
K = 4000/0.004
= 1.0 ^ 6 KNm²
Q. If liquid pressure is increased from 4000 kN/m² to (b) Ir 9000 kN/m², the volume of liquid decreased by 0.5 percent, Determine the bulk modulus of elasticity of the liquid.
SOLUTION:
Bulk modulus of elasticity K = – (dp)/((dv)/v)
Change in pressure
