Question

The pressure at constant velocity, flowing through a pipe measuring 8 inches in diameter with a flow rate of 2,000 gpmS 1.1 psi 32.2 psi 34.8 psi 28.9 psi

Answer 1

The pressure at constant velocity is 1.1 psi.

(1). is correct option.

Step-by-step explanation:

Given that,

Diameter = 8 inch = 20.32 cm = 0.2032 m

Flow rate =2000 g/m

We need to calculate the velocity

`v = (Flow\ rate)/(Area)`

`2000\ g/m=(0.00378*2000)/(60)`

`2000\ g/m=0.1262 m^3/s`

`v=(0.1262)/(\pi (0.1016)^2)`

`v=3.89\ m/s`

We need to calculate the pressure

Using formula of pressure

`P = (1)/(2)\rho v^2`

`P=(1)/(2)*1000*(3.89)^2`

`P=7566\ Pa`

`P=1.09\ psi=1.1\ psi`

Hence, The pressure at constant velocity is 1.1 psi.