High School

The space between two square flat parallel plates is filled with oil. Each side of the plate is 60 cm. The thickness of the oil film is 12.5 mm. The upper plate, which moves at 2.5 m/s, requires a force of 98.1 N to maintain the speed.

Determine:

1. The dynamic viscosity of the oil in poise.
2. The kinematic viscosity of the oil in stokes if the specific gravity of the oil is 0.95.

Answer :

Final answer:

The dynamic viscosity of the oil is approximately 5.5 poise and the kinematic viscosity is approximately 5.8 stokes.

Explanation:

The dynamic viscosity of the oil can be calculated using the formula:

Dynamic viscosity = (forcex2slides) / (speedxthickness)

By substituting the given values into the formula, we get:

Dynamic viscosity = (98.1 N x 2 x 60 cm) / (2.5 m/s x 12.5 mm)

After converting the units, the dynamic viscosity of the oil is approximately 5.5 poise. The kinematic viscosity can be calculated by dividing the dynamic viscosity by the specific gravity of the oil. Therefore, the kinematic viscosity of the oil is approximately 5.8 stokes.

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