Instruction: Solve the following problems using Python (py or ipynb) or MatLab (m). Submit your code in the required format as indicated. Place a screenshot of your program output in a WORD file or PDF file. 1. The kinematic viscosity µ of water varies with temperature T as shown in the table. Determine the cubic that best fits the data, and use it to compute μ at T = 10°, 30°, 60° and 90°C. T (°C) 0 Hk (10-³ m²/s) 1.79 21.1 37.8 54.4 71.1 1.13 0.696 0.519 0.338 87.8 100 0.321 0.296

C++ for Engineers and Scientists
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Author:Bronson, Gary J.
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Instruction: Solve the following problems using Python (py or ipynb) or MatLab (.m). Submit your code
in the required format as indicated. Place a screenshot of your program output in a WORD file or PDF file.
1. The kinematic viscosity μ of water varies with temperature T as shown in the table. Determine the
cubic that best fits the data, and use it to compute μ at T = 10°, 30°, 60° and 90°C.
T (°C)
0
k (10-³ m²/s) 1.79
21.1 37.8 54.4 71.1 87.8
100
1.13 0.696 0.519 0.338 0.321 0.296
2. The table displays thermal efficiencies of some early steam engines. Determine the polynomial that
provides the best fit to the data and use it to predict the thermal efficiency in the year 2000.
Year Efficiency (%)
1718
0.5
1767
0.8
1774
1.4
1775
2.7
1792
4.5
1816
7.5
1828
12.0
Improved Cornish
1834
17.0
Improved Cornish
1878
17.2
Corliss compound
1906
23.0
Triple expansion
3. The intensity of radiation of a radioactive substance was measured at half-year intervals. The results
were:
t (years) 0
Y
t (years)
Type
Newcomen
Smeaton
Smeaton
Watt
Watt
Woolf compound
1.5 2
2.5
0.977
0.5 1
0.994 0.990
0.985
0.979
1.000
3
3.5
4.5
5
5.5
0.972 0.969 0.967 0.960 0.956 0.952
V
where y is the relative intensity of radiation. Knowing that radioactivity decays exponentially with
time: y (t) = ae-bt estimate the radioactive half-life of the substance.
Transcribed Image Text:Instruction: Solve the following problems using Python (py or ipynb) or MatLab (.m). Submit your code in the required format as indicated. Place a screenshot of your program output in a WORD file or PDF file. 1. The kinematic viscosity μ of water varies with temperature T as shown in the table. Determine the cubic that best fits the data, and use it to compute μ at T = 10°, 30°, 60° and 90°C. T (°C) 0 k (10-³ m²/s) 1.79 21.1 37.8 54.4 71.1 87.8 100 1.13 0.696 0.519 0.338 0.321 0.296 2. The table displays thermal efficiencies of some early steam engines. Determine the polynomial that provides the best fit to the data and use it to predict the thermal efficiency in the year 2000. Year Efficiency (%) 1718 0.5 1767 0.8 1774 1.4 1775 2.7 1792 4.5 1816 7.5 1828 12.0 Improved Cornish 1834 17.0 Improved Cornish 1878 17.2 Corliss compound 1906 23.0 Triple expansion 3. The intensity of radiation of a radioactive substance was measured at half-year intervals. The results were: t (years) 0 Y t (years) Type Newcomen Smeaton Smeaton Watt Watt Woolf compound 1.5 2 2.5 0.977 0.5 1 0.994 0.990 0.985 0.979 1.000 3 3.5 4.5 5 5.5 0.972 0.969 0.967 0.960 0.956 0.952 V where y is the relative intensity of radiation. Knowing that radioactivity decays exponentially with time: y (t) = ae-bt estimate the radioactive half-life of the substance.
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ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr