In fluid mechanics the Reynolds number is defined as
Re=ηρvD
where ρ is the density of the fluid, v is its speed relative to an object of characteristic length D, and η is the coefficient of dynamic viscosity.
a. (i) Show that the Reynolds number is a dimensionless quantity.
b. (ii) Hence obtain the dimensional formula of the coefficient of viscosity η and express it in both bracket notation and explicit power form.
c. (iii) State the SI unit of η that follows from your dimensional formula.