Question

A metal plate of area 2.5 X 10-4 m2 is placed on a 0.25 X 10-3 m thick

layer of castor oil. If a force of 2.5 N is needed to move the plate with a

velocity of 3X10-2 ms-1, calculate the coefficient of viscosity of castor oil.​

Answer 1

The coefficient of viscosity of the castor oil is 333,333.33 Pa.s.

• The coefficient of viscosity is a measure of a fluid's resistance to flow.
• It is defined as the ratio of the shear stress applied to a fluid to the corresponding rate of shear strain.
• In other words, it is a measure of how difficult it is to move one layer of a fluid over another.
• The coefficient of viscosity is an important property of a fluid because it determines how the fluid will behave under various conditions.
• The coefficient of viscosity is usually expressed in units of pascal-seconds (Pa.s). The higher the coefficient of viscosity, the more resistant the fluid is to flow.
• To calculate the coefficient of viscosity of the castor oil, you need to use the formula:

coefficient of viscosity = force / (area * velocity)

In this case, the coefficient of viscosity is:

coefficient of viscosity = 2.5 N / (2.5 x 10^-4 m^2 * 3 x 10^-2 m/s)

Simplifying this equation gives:

coefficient of viscosity = 2.5 N / (7.5 x 10^-6 m^2/s)

Which simplifies to:

coefficient of viscosity = 333,333.33 Pa.s

So, the coefficient of viscosity of the castor oil is 333,333.33 Pa.s.

SPJ1