The specific gravity and dynamic viscosity of a certain liquid are 4.0 and 1.4N- S/ (m ^ 2) respectively. Calculate the kinematic viscosity of the liquid.

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Q. The specific gravity and dynamic viscosity of a certain liquid are 2.0 and 1.3N- S/ (m ^ 2) respectively. Calculate the kinematic viscosity of the liquid.

SOLUTION:
Kinematic viscosity = μ/ρ
Dynamic viscosity μ= 1.3 N- S / (m ^ 2)
Specific gravity S = 2.0
Specific gravity= specific weight of liquid/ specific weight of water
2.0= Sp .wt.of liquid/ 9810
Sp. wt. of liquid w = 2 * 9810 = 19620Nm³
But w = rho*g
(or) Mass density σ= w/g = 19620/9.81 = 2000kg / (m ^ 3)
Kinematic viscosity v= 1.3 /2000 = 6.5 * 10-⁴ m²/sec
= 6.5 × 10 ⁴ × 10-⁴ cm² /sec
= 6.5cm² /sec
(Or) V = 6.5 stokes.

 

Q. The specific gravity and dynamic viscosity of a certain liquid are 4.0 and 1.4N- S/ (m ^ 2) respectively. Calculate the kinematic viscosity of the liquid.

SOLUTION:
Kinematic viscosity = μ/ρ
Dynamic viscosity μ= 1.4 N- S / (m ^ 2)
Specific gravity S = 4.0
Specific gravity= specific weight of liquid/ specific weight of water
4.0= Sp .wt.of liquid/ 9810
Sp. wt. of liquid w = 4 * 9810 = 39240Nm³
But w = rho*g
(or) Mass density σ= w/g =

39240/9.81 = 4000kg / (m ^ 3)
Kinematic viscosity v= 1.4 /4000 = 3.5 * 10-⁴ m²/sec
= 3.5  ×10 ⁴×10-⁴ cm² /sec
= 3.5cm² /sec
(Or) V = 3.5 stokes.

 

Q. The specific gravity and dynamic viscosity of a certain liquid are 5.0 and 1.5N- S/ (m ^ 2) respectively. Calculate the kinematic viscosity of the liquid.

SOLUTION:
Kinematic viscosity = μ/ρ
Dynamic viscosity μ= 1.5 N- S / (m ^ 2)
Specific gravity S = 5.0
Specific gravity= specific weight of liquid/ specific weight of water
5.0= Sp .wt.of liquid/ 9810
Sp. wt. of liquid w = 5 * 9810 = 49050Nm³
But w = rho*g
(or) Mass density σ= w/g =

49050/9.81 = 5000kg / (m ^ 3)
Kinematic viscosity v= 1.5 /5000 = 3.0 * 10-⁴ m²/sec
= 3.0  ×10 ⁴×10-⁴ cm² /sec
= 3.0cm² /sec
(Or) V = 3.0 stokes.

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