Tutorial #1 (Week 3 Algebra) W24 SOLNS
docx
keyboard_arrow_up
School
Fleming College *
*We aren’t endorsed by this school
Course
9
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
5
Uploaded by SargentTarsierPerson1107
Math 147: Introduction to Water/Wastewater Mathematics
Tutorial #1 (Algebra)
Use your course notes to complete the following questions. Make sure to show all necessary steps and round final answers to 2 decimal places. 1.
Manning’s equation is commonly used to determine open channel flow in wastewater applications, using the following formula: V
=
1
n
∙R
h
2
3
∙
√
S
, where:
V is average velocity of water (m/sec)
n is a coefficient of roughness
R
h
is hydraulic radius (m)
S is slope
Simplify Manning’s expression, using algebraic laws, if n
, R
h
, and S
all happen to be the exact same number, given √
x
=
x
1
2
and 1
x
=
x
−
1
. Tutorial #1 Page | 1 of 5
Math 147: Introduction to Water/Wastewater Mathematics
2.
Using Manning’s equation from the above question, calculate the slope (s), when n= 0.017, R
h
=0.4 m and v = 0.05 m/sec. Leave your final answer in scientific notation. Tutorial #1 Page | 2 of 5
Math 147: Introduction to Water/Wastewater Mathematics
3.
Determine the formula for TSS, using the Waste rate formula blow: Waste rate
=
MLSS×
(
aeration vol.
+
clarifier vol .
)
Desired MCRT ×
1,000,000
−
TSS×Flow
1,000,000
Tutorial #1 Page | 3 of 5
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Math 147: Introduction to Water/Wastewater Mathematics
4.
A trickling filter, with a media depth of 5 ft, receives flow of 1.1 MGD (Mega Gallons per day). If the BOD concentration of the primary effluent is 160 mg/L, what is the diameter (ft) of the trickling filter, given the organic loading rate is 58.4 lb/day/1000 ft
2
BOD? Organic loadingrate
(
lb
day
1000
ft
2
)
=
BOD
(
mg
L
)
×Flow
(
MGD
)
×
8.34
lb
/
gal
0.785
×
(
Diameter
)
2
×Depth
(
ft
)
1000
Tutorial #1 Page | 4 of 5
Math 147: Introduction to Water/Wastewater Mathematics
5.
A rotating biological contactor (RBC) receives a flow of 2.2 MGD with a BOD content of 170 mg/L and suspended solids concentration of 140 mg/L. If the K factor if 0.7, how many mg/L of soluble BOD enter the RBC daily? ParticulateBOD
=
Suspended SolidConcentration×K
Total BOD
=
Particulate BOD
+
Soluble BOD
Tutorial #1 Page | 5 of 5