Water is flowing with velocity 4 ~m ~s ⁻¹ in a cylinder of diameter 8 ~cm , it is connected to a pipe with it end tip of diameter 2 ~cm , calculate the velocity of water at this free end.

Step-by-step solution

Here, v₁=4 ~m ~s ⁻¹, A₁= r₁^2=16 10⁻⁴ ~m ^2 A₂= r₂^2= 10⁻⁴ ~m ^2 Using, A₁ v₁=A₂ v₂ v₂= A₁ v₁ A₂ = 16 10⁻⁴ 4 10⁻⁴ =64 ~m ~s ⁻¹ Velocity of water at free end, v₂=64 ~m ~s ⁻¹