Which one of the following represents the correct dimensions of the coefficient of viscosity?
- A
- B
- C
- D
Solution & Step-by-step Explanation
The viscous force is given by Newton's law of viscosity:
Where is the coefficient of viscosity, is the area, and is the velocity gradient.Rearranging for :
Dimensions of force Dimensions of area Dimensions of velocity gradient Substituting the dimensions:
Where is the coefficient of viscosity, is the area, and is the velocity gradient.Rearranging for :
Dimensions of force Dimensions of area Dimensions of velocity gradient Substituting the dimensions: