College

We appreciate your visit to Water is pumped at a rate of 3 ft 3 s from a reservoir 20 ft above a pump to a free discharge 90 ft. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Water is pumped at a rate of 3 ft\(^3\)/s from a reservoir 20 ft above a pump to a free discharge 90 ft above the pump. The pressure on the intake side of the pump is 5 psig, and the pressure on the discharge side is 50 psig. All pipes are commercial steel with a 6-inch diameter.

Determine:

1. The head supplied by the pump.
2. The total head loss between the pump and the point of free discharge.

Answer :

The head supplied by the pump at a rate of 3ft/s is 309.96m, The total head loss between the pump and point of free discharge is 26.822m.

As mentioned in the question the height of the reservoir is = 20ft

Pressure on the intake side of the pump is = 5 psig = 34.4kpascal

Pressure on the discharge side of the pump is = 50 psig = 344.4kpascal

converting water pumped from 3f/s to m/s = 0.91

Here the diameter of the pipe is d = 6 inches which is = 0.15,m

a) The head supplied by the pump is as per Bernoulli's theorem:

P1+21ρv12+ρgh1=P2+21ρv22+ρgh2

So here in this condition

ρv12 = ρv22

where vi = vd

zi = zd

Now

pi/pg + Handpump = p1/pg

handpump = 344.4k - 34.4k/(0.91)

=309.96 m

Therefore the head supply by the pump is 309.96m

b) Total head loss between the pump and point of free discharge is

since vd = v

We can say the head loss = (6.096 - 0 ) X 1000/9.8 x 1000 = 0.61 - 27.432

= 26.822

Hence the head supplied by the pump is 309.96m

The head loss is 26.822m

To know more on head loss follow this link:

https://brainly.com/question/15027705

#SPJ4

Thanks for taking the time to read Water is pumped at a rate of 3 ft 3 s from a reservoir 20 ft above a pump to a free discharge 90 ft. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada