Answer:
The pressure at constant velocity is 1.1 psi.
(1). is correct option.
Explanation:
Given that,
Diameter = 8 inch = 20.32 cm = 0.2032 m
Flow rate =2000 g/m
We need to calculate the velocity
[tex]v = \dfrac{Flow\ rate}{Area}[/tex]
[tex]2000\ g/m=\dfrac{0.00378\times2000}{60}[/tex]
[tex]2000\ g/m=0.1262 m^3/s[/tex]
[tex]v=\dfrac{0.1262}{\pi (0.1016)^2}[/tex]
[tex]v=3.89\ m/s[/tex]
We need to calculate the pressure
Using formula of pressure
[tex]P = \dfrac{1}{2}\rho v^2[/tex]
[tex]P=\dfrac{1}{2}\times1000\times(3.89)^2[/tex]
[tex]P=7566\ Pa[/tex]
[tex]P=1.09\ psi=1.1\ psi[/tex]
Hence, The pressure at constant velocity is 1.1 psi.
