What is the dimension of n if force is given by the equation F=6pie rvn

F = 6Pi nrv

F = 6πnrv.

Unit of force is Newton that is kgms⁻², r, radius is in m, v, velocity is in ms⁻¹.

6 has no unit, and same as π

F = 6πnrv

kgms⁻² = n*m*ms⁻¹

kgms⁻² = n*m²s⁻¹

n*m²s⁻¹ = kgms⁻²

n = kgms⁻² / (m²s⁻¹)

n = kg m¹ ⁻ ² s⁻² ⁻ ⁻¹

n = kgm⁻¹ s⁻² ⁺ ¹ = kgm⁻¹ s⁻¹

Dimension of n is = kgm⁻¹ s⁻¹ = ML⁻¹T⁻¹

Where M = Mass, L = Length, T = Time