Step-by-step explanation:
The dimension formula of the coefficient of viscous force, also known as the coefficient of viscosity or dynamic viscosity, can be derived using the fundamental dimensions of physical quantities. The coefficient of viscosity, denoted by the symbol η, represents the internal friction or resistance to flow within a fluid.
The dimension formula for the coefficient of viscosity is:
[η] = [M] * [L]^-1 * [T]^-1
where:
[M] represents the dimension of mass,
[L] represents the dimension of length, and
[T] represents the dimension of time.
In simpler terms, the dimension formula indicates that the coefficient of viscosity is expressed in units of mass per length per time. Common units for the coefficient of viscosity include Pascal-seconds (Pa·s) in the International System of Units (SI) or poise (P) in the centimeter-gram-second (CGS) system.
Note: It's important to follow the dimensional analysis and use consistent units when working with physical quantities to ensure accurate calculations and comparisons.