1
Exam 2 Report 11/20/2019
1. Summary
Total number of students 12
Attended 12
Missed 0
Number of problems 3
Average grade 80.56
Standard deviation of grades 10.62
2. Grade distribution
3. Comparison with past years
0 0 0
1
0
5 5
1
0 1 2 3 4 5 6
0-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Number of Students
Grade
Total Grade Distribution
80.6 75.8 80.7 83.2 82.5 85.1 81.9 83.0 85.8
10.6 13.0 11.0 8.6 12.0 12.3 13.4 9.5 10.9
0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0
2019 2018 2017 2016 2015 2014 2013 2012 2010
Grade
Year
Comparison with Previous Years
Average Standard Deviation Average Over 2010-2019
2 4. Individual problem breakdown
5. Grade distribution per problem
7.71
8.42 8.04
1.59 1.72
1.23
0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00
1 2 3
Grade
Problem
Individual scores per problem
Average
Standard Deviation
0 0 0 0
7
1 1
3
0 0 0
2 2 2
0
6
0 0 0
1 1
5
3
2
0 1 2 3 4 5 6 7 8
0-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10
Number of Students
Grade
Grade distribution per problem
P1 P2 P3
3 6. Comments
PROBLEM 1
Some of students made mistake when they integrate velocity profile.
Several students could not cancel out each terms correctly in NS equation.
Although 𝜃 Momentum Equation need to be used, some of students used other direction’s momentum equation.
One student indicated two answers, but one of them was wrong.
PROBLEM 2
One student used wrong unit for frequency.
Some of students used inappropriate Non-dimensional values when they calculate model scale’s velocity.
It seems like that some of students do not know how to use Buckingham Pi theorem correctly.
PROBLEM 3
Several students could not consider the Dynamic pressure term in Energy equation.
Some of students used wrong sign for Head provided by turbine.
Several students did not consider the minor losses at Entrance and Valve. Also some of students didn’t consider the turbine efficiency.
One student thought that 𝑉2 value is fixed in Energy equation.
Some of students multiplied turbine efficiency to the turbine head. But the turbine efficiency need to be considered as denominator. (ℎ𝑡𝜂 ⇒ ℎ𝜂𝑡)
