Problem 1. A water reservoir with dimensions of 10 x 10 × 10 m is connected to 3 pipes.Water is entering the tank at velocity u1 = 0.1 m/s through the inlet pipe, which has across-sectional area A10.5 m?. The bottom outlet pipe has a mass discharge rate of30 kg/s. Given that currently the water surface is 3 m below the top outlet pipe, and theoutlet pipe has a cross-sectional area A30.1 m²:1. Determine the rate of mass increase in the reservoir.2. How long will it take before the water surface reach the bottom surface of the topoutlet pipe?3. What would be the water velocity in the top outlet pipe?-A,3mV,A,-M2Figure 1: A water reservoir is connected to 3 pipes.

Question
Asked Mar 15, 2020
1 views
Problem 1. A water reservoir with dimensions of 10 x 10 × 10 m is connected to 3 pipes.
Water is entering the tank at velocity u1 = 0.1 m/s through the inlet pipe, which has a
cross-sectional area A1
0.5 m?. The bottom outlet pipe has a mass discharge rate of
30 kg/s. Given that currently the water surface is 3 m below the top outlet pipe, and the
outlet pipe has a cross-sectional area A3
0.1 m²:
1. Determine the rate of mass increase in the reservoir.
2. How long will it take before the water surface reach the bottom surface of the top
outlet pipe?
3. What would be the water velocity in the top outlet pipe?
-A,
3m
V,
A,
-M2
Figure 1: A water reservoir is connected to 3 pipes.
help_outline

Image Transcriptionclose

Problem 1. A water reservoir with dimensions of 10 x 10 × 10 m is connected to 3 pipes. Water is entering the tank at velocity u1 = 0.1 m/s through the inlet pipe, which has a cross-sectional area A1 0.5 m?. The bottom outlet pipe has a mass discharge rate of 30 kg/s. Given that currently the water surface is 3 m below the top outlet pipe, and the outlet pipe has a cross-sectional area A3 0.1 m²: 1. Determine the rate of mass increase in the reservoir. 2. How long will it take before the water surface reach the bottom surface of the top outlet pipe? 3. What would be the water velocity in the top outlet pipe? -A, 3m V, A, -M2 Figure 1: A water reservoir is connected to 3 pipes.

fullscreen
check_circle

Expert Answer

Step 1

Given data:

Dimension of the reservoir =(10 x 10 x 10)m

water density = 1000 kg/m3     (Assumed)

v1 = 0.1 m/s

A1 = 0.5 m2

M2 = 30 kg/s

A3 = 0.1 m2

 

Step 2

Calculating the rate of mass increases in the reservoir:

Civil Engineering homework question answer, step 2, image 1

Step 3

Calculating the time taken of the water surface to reach the bottom surface of the top outlet of the pipe (t):

Civil Engineering homework question answer, step 3, image 1

Civil Engineering homework question answer, step 3, image 2

 

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Civil Engineering Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Find reactions, max absolute shear force, max absolute bending moment, draw shear force and bending ...

A: Calculating stiffness of beam:

question_answer

Q: Neep help with this problem

A: We only answer up to 3 sub-parts, since the first 5 sub-parts need a similar approach, we’ll answer ...

question_answer

Q: 2,55 A sailor is being rescued using a boatswain's chair that is suspended D from a pulley that can ...

A: Given information:Given that the angles are

question_answer

Q: Water Resources Engineering: Open Channel Flow Determine the normal depth in a trapezoidal channel w...

A: Given data: Bottom width = 2.4 ft. Side slope       = 2:3 (vertical: horizontal) Discharge (Q) = 35 ...

question_answer

Q: Determine the water pressure at point A and B. Point A is 7m below datum. k=0.005cm/min

A: Given: The point A is 7 m below datum. The permeability constant, k = 0.005 cm/min. The flownet is s...

question_answer

Q: The following is a floor plan for a 1200 sq ft reading room in a library (you can find the loading f...

A: d) Self-weight of the slab is calculated as, From loading of ASCE building the live load of library...

question_answer

Q: 4.1.2 A cylinder has 500 cm3 of water. After a mass of 100 grams of sand is poured into the cylinder...

A: Given data:The volume of water (V) is 500 cm^3.The mass of soil (Ms) is 100 gms.The rise in water le...

question_answer

Q: A 2m high sandy fill material was placed loosely at a relative density of 47%. Laboratory studies in...

A: Given data: Height of the soil = 2m Relative density (ID) = 47 % = 0.47 emax = 0.92 emin = 0.53 Comp...

question_answer

Q: determine the bending stress developed at point A. enter negative value in the case of compression a...

A: Given information:Consider Internal Moment = 110 kN-m