Question

Calculate the velocity with which the liquid gushes out of the 4 cm² outlet, if the liquid flowing in the tube is water and the liquid in the U tube has a specificity 12. The velocity of the liquid at point A is `sqrt20.2` m/s ______.

 

Options

• 2.5 m/s

• 5.5 m/s

• 8 m/s

• 10 m/s

Answer 1

Calculate the velocity with which the liquid gushes out of the 4 cm² outlet, if the liquid flowing in the tube is water and the liquid in the U tube has a specificity 12. The velocity of the liquid at point A is `sqrt20.2` m/s 5.5 m/s.

Explanation:

`P_A + 1/2rhov_A^2 = P_B + 1/2rhov_B^2`

`P_A - P_B = 1/2rho(v_B^2 - v_A^2)`

`0.02 xx 12000 xx 10 = 1/2 xx 1000(v_B^2 - 20.2)`

`4.8 = v_B^2 - 20.2`

⇒ v_B = 5 m/s

⇒ `A_3 xx v_B = A_1v_1 + A_2v_2`

⇒ 30 = `4v_1 + 8`

⇒ `4v_1 = 22`

⇒ `v_1 = 22/4` = 5.5 m/s