Question

Terminal velocity (Derivation).

physics class 11​

Answer 1

Terminal velocity is attained when Force of resistance = force due to gravitational attraction.

6πηrv =mg

6πηrv = densityxVg (Because density=m/V), density=ρ – σ where ρ and σ are the densities of the sphere and the viscous medium resp.

6πηrv = (ρ – σ)x4/3πr3g where Volume of the sphere(V) =4/3πr3

By simplifying

=(ρ – σ)gx4/3r2x1/(6η)

vt =2r2(ρ – σ)g/9 η .This is the terminal velocity. Where(v=vt)

Answer 2

Explanation:

Terminal velocity is the maximum velocity of a body moving through a viscous fluid. ... Terminal velocity is attained when Force of resistance = force due to gravitational attraction. 6πηrv =mg. 6πηrv = densityxVg (Because density=m/V), density=ρ – σ where ρ and σ are the densities of the sphere and the viscous medium resp ...