Final answer:
The viscosity of the oil can be found using Stoke's law formula. The calculation involves converting units and substituting values into the formula. Additional information is required to convert the viscosity to centistokes (cs) or centipoise (cp).
Step-by-step explanation:
The viscosity of the oil can be found using the Stoke's law formula: viscosity (η) = 2 * (density of the ball - density of the oil) * g * r² / (9 * v), where g is the acceleration due to gravity, r is the radius of the ball, and v is the terminal speed of the ball.
First, convert the radius of the ball from mm to meters: r = 0.8 mm = 0.8 * 10^-3 m.
Next, convert the terminal speed from cm/s to m/s: v = 4.32 cm/s = 4.32 * 10^-2 m/s.
Then, substitute the given values into the formula and solve for viscosity:
η = 2 * (7.86 g/ml - 0.88 g/ml) * 9.8 m/s² * (0.8 * 10^-3 m)² / (9 * 4.32 * 10^-2 m/s)
Simplifying the equation yields the viscosity of the oil in Ns/m² or Pa·s units. To convert it to centistokes (cs) or centipoise (cp), you would need additional information such as temperature and specific oil properties.