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