What is the velocity at discharge if the nozzle of a hose measures 68 psi? 100.25 ft./sec 10.25 ft./sec 125.2 ft./sec 11.93 ft./sec

Respuesta :

Answer:

The velocity at discharge is 100.46 ft/s

Explanation:

Given that,

Pressure = 68 psi

We need to calculate the pressure in pascal

[tex]P=68\times6894.74\ Pa[/tex]

[tex]P=468842.32\ Pa[/tex]

We need to calculate the velocity

Let the velocity is v.

Using Bernoulli equation

[tex]P=\dfrac{1}{2}\rho v^2[/tex]

[tex]468842.32=0.5\times1000\times v^2[/tex]

[tex]v=\sqrt{\dfrac{468842.32}{0.5\times1000}}[/tex]

[tex]v=30.62\ m/s[/tex]

Now, We will convert m/s to ft/s

[tex]v =30.62\times3.281[/tex]

[tex]v=100.46\ ft/s[/tex]

Hence, The velocity at discharge is 100.46 ft/s