Question

What is the dimensional formula of the coefficient of friction?

Answer 1

In order to describe the dimensional formula of this coefficient, first let's write the formula for the friction force:

`F_f=\mu\cdot N`

Where Ff is the friction force (in Newtons), μ is the friction coefficient and N is the normal force (in Newtons).

Changing each variable to its corresponding unit (except for the coefficient), we have:

`N=\mu\cdot N`

Solving for μ, we have:

`\begin{gathered} \mu=(N)/(N) \\ \mu=1 \end{gathered}`

Since μ = 1, that means it has no dimensions, it's only a constant value (it is an adimensional value).