Final answer:
The specific gravity of the oil is 0.855 and the kinematic viscosity is 5.85 x 10⁻¹² m²/s.
Step-by-step explanation:
To calculate the viscosity of motor oil, Stokes' Law is used, considering the terminal velocity of a steel ball, and the densities of the ball and oil. The drag force at terminal velocity is balanced by the buoyant force arising from the density difference between the ball and the oil.
The specific gravity of a substance is the ratio of its density to the density of water. In this case, the density of oil is given as 855 kg/m³. Since the density of water is 1000 kg/m³, the specific gravity of the oil can be calculated as:
Specific gravity = density of oil / density of water
Specific gravity = 855 kg/m³ / 1000 kg/m³ = 0.855
The kinematic viscosity of a fluid is the ratio of its dynamic viscosity to its density. In this case, the dynamic viscosity of the oil is given as 5 x 10⁻⁹ Ns/m². Since the density of the oil is 855 kg/m³, the kinematic viscosity can be calculated as:
Kinematic viscosity = dynamic viscosity / density
Kinematic viscosity = (5 x 10⁻⁹ Ns/m²) / (855 kg/m³) = 5.85 x 10⁻¹² m²/s