A cylindrical water tank is 20.0 m tall, open to the atmosphere at the top, and is filled to the top. It is noticed that a small hole has occurred in the side at a point 16.5 m below the water level and that water is flowing out at the volume flow rate of 2.40 10-3 m3/min. Determine the following. (a) the speed in m/s at which water is ejected from the hole

Respuesta :

Answer:

The speed in m/s at which water is ejected from the hole is 17.98 m/s.

Explanation:

Given that,

Height of tank[tex]h_{c}= 20.0\ m[/tex]

Height [tex]h=16.5\ m[/tex]

Flow rate [tex]Q= 2.40\times10^{-3}\ m^3/min[/tex]

We need to calculate the speed in m/s at which water is ejected from the hole

Using formula of speed

[tex]v=\sqrt{2gh}[/tex]

Where, v = speed

g = acceleration due to gravity

h = height

Put the value into the formula

[tex]v=\sqrt{2\times9.8\times16.5}[/tex]

[tex]v=17.98\ m/s[/tex]

Hence, The speed in m/s at which water is ejected from the hole is 17.98 m/s.