Can you please help i cant seem to find the answer The diameter of the right side d_1 is 2 cmThe diameter of the left side d_2 is 8 cm

Question

asked Aug 12, 2023 12.2k views

1 Answer

Art · Answer 1 · 2023-08-16T12:50:32+0000

Given data:

* The speed of the water coming out of the pipe is,

$v_1=14.9\text{ m/s}$

* The diameter of the left side of pipe is,

$d_2=8\text{ cm}$

* The diameter of the right side of the pipe is,

$d_1=2\text{ cm}$

Solution:

(a). The area of the right side of pipe is,

$A_1=\pi r^2_1$

The radius of the right side of pipe is,

$\begin{gathered} r_1=(d_1)/(2) \\ r_1=(2)/(2) \\ r_1=1\text{ cm} \end{gathered}$

Thus, the area of the right side of pipe is,

$\begin{gathered} A_1=\pi*(1*10^(-2))^2 \\ A_1=\pi*(0.01)^2 \\ A_1=0.000314m^2 \end{gathered}$

The volume of the water coming out from the right side of the pipe is,

Where t is the time taken, v_1 is the velocity of the water, and A_1 is the area of right side of pipe,

Substituting the known values,

$\begin{gathered} V=14.9*7*60*0.000314 \\ V=1.97m^3 \end{gathered}$

Thus, the volume of water flows into the atmosphere is 1.97 meter cube.