
(a)
The critical speed of the trommel screen.

Answer to Problem 5.11P
Explanation of Solution
Given:
The diameter of trommel screen is
The length of trommel screen is
The angle of inclination is
Concept Used:
Write theexpression to calculate the critical speed of trommel screen.
Here, the acceleration due to gravity is
Calculation:
Calculate the critical speed of trommel screen.
Substitute
Conclusion:
Thus, the critical speed of trommel screen is
(b)
The type of movement of MSW in the trommel screen.

Answer to Problem 5.11P
The movement of MSW in trommel screen is cataracting.
Explanation of Solution
Given:
The speed of trommelis
The feed rate is
Calculation:
The movement of MSW is determined by using the relation
Here,
Hence the movement of MSW is either cascading or cataracting.
The critical speed and the fraction of the screen occupied by the refuse are related which gives the process of movement of MSW.
Write the equation to calculate the bulk volume.
Here, the bulk volume of trommel screen is
Consider a single particle in the screen.
The following figure shows the force analysis diagram.
Figure-(1)
Here, gravity is
Write the equilibrium equation for the x and y axis as shown in Figure-(1).
Here, the coefficient of friction is
Write the equation to calculate acceleration.
Here, the acceleration is
Substitute
Calculate time for particle to move from end to end.
Here, the length is
Substitute
Calculate the volume occupied by the solids and the air spaces between the solids.
Here, the mass flow rate is
Convert the unit of
Convert the unit of time to
Substitute
Calculate the total volume inside the trommel screen.
Substitute
Calculate the bulk volume of trommel screen.
Substitute
The following graph shows critical speed and the fraction of the screen occupied by the refuse are related which gives the process of movement of MSW.
Figure-(2)
Since,
Conclusion:
The type of movement is calculated by equating time, bulk volume, mass flow, density, speed and feed rate.
Want to see more full solutions like this?
Chapter 5 Solutions
Solid Waste Engineering
- Text Book Problem 7.82 (page 261) Consider the total head-loss in the system forthis flow is 18.56 ft (head-losses in first and second pipe are 13.83 ft and 4.73 ftrespectively). Please show numerical values for EGL/HGL at the beginning/end/intermediatechange point. (Point distribution: elevation determination 5 points, EGL, HGL lines 4points).(I think we are just using the values provided for head losses to solve this problem)arrow_forwardCalculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the moment distribution method, and draw the Shear force diagram and Bending moment diagram for the beam shown. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forwardCalculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the Slope deflection method. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forward
- Thank you for your help if you would also provide the equations used .arrow_forwardThe sectors are divided as follows:top right = 1, top left = 2, middle = 3, bottom = 4.(a) Determine the distance yˉ to the centroid of the beam’s cross-sectional area.Solve the next questions by building a table. (Table format Answers) (b) Determine the second moment of area (moment of inertia) about the x′ axis. (c) Determine the second moment of area (moment of inertia) about the y-axis.arrow_forwardinstructions: make sure to follow the instructions and provide complete and detailed solution create/draw a beam with uniformly distributed load and concentrated load after, find the shear and moment equation and ensure to draw it's shear and moment diagram once done, write it's conclusion or observation 4:57 PMarrow_forward
- Solve for forces on pin C and Darrow_forwardBorrow pit soil is being used to fill an 900,00 yd3 of depression. The properties of borrowpit and in-place fill soils obtained from laboratory test results are as follows:• Borrow pit soil: bulk density 105 pcf, moisture content = 8%, and specific gravity = 2.65• In-place fill soil: dry unit weight =120 pcf, and moisture content = 16%(a) How many yd3 of borrow soil is required?(b) What water mass is needed to achieve 16% moisture in the fill soil?(c) What is the in-place density after a long rain?arrow_forwardsolve for dt/dx=f(t,x)=x+t^2arrow_forward
- Calculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the slope deflection method, draw the resulting shear force diagran and bending moment diagram. The beam is subjected to an UDL of w=65m. L=4.5m, L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200 GPa, I = 250x106 mm4.arrow_forwardProblem 2 (A is fixed and C is a pin) Find the reactions and A and C. 10 k- 6 ft 6 ft B A 2 k/ft 15 ftarrow_forward6. A lake with no outlet is fed by a river with a constant flow of 1200 ft3/s. Water evaporates from the surface at a constant rate of 13 ft3/s per square mile of surface area. The surface area varies with the depth h (in feet) as A (square miles) = 4.5 + 5.5h. What is the equilibrium depth of the lake? Below what river discharge (volume flow rate) will the lake dry up?arrow_forward
- Solid Waste EngineeringCivil EngineeringISBN:9781305635203Author:Worrell, William A.Publisher:Cengage Learning,Construction Materials, Methods and Techniques (M...Civil EngineeringISBN:9781305086272Author:William P. Spence, Eva KultermannPublisher:Cengage LearningTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
- Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage LearningEngineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage LearningFundamentals Of Construction EstimatingCivil EngineeringISBN:9781337399395Author:Pratt, David J.Publisher:Cengage,





