Question

A liquid enters one end of a tube, where the diameter is

11.2cm, at a speed of 5.0 m/s. What is the speed of the lliquidas
it exits the other end of the tube where the diameter is
17.5cm?

Answer 1

`v_2=3.2\ m/s`

Step-by-step explanation:

given,

diameter of inlet = 11.2 cm

r₁ = 5.6 cm

r₁ = 0.056 m ∵ 1 cm = 0.01 m

speed of inlet = 5 m/s

diameter of outlet = 17.5 cm

r₂ = 8.75 cm

r₂ = 0.0875 m ∵ 1 cm = 0.01 m

speed of outlet = ?

using continuity equation

A₁ v₁ = A₂ v₂

π r₁² v₁ = π r₂² v₂

`v_2= (r_1^2)/(r_2^2) v_1`

`v_2= (0.056^2)/(0.0875^2) v_1`

`v_2= 0.64 v_1`

`v_2= 0.64* 5`

`v_2=3.2\ m/s`

Velocity of liquid at the outlet of the tube is equal to 3.2 m/s