Mathematical Modelling:
1. Enter thedata for the tape probleminto a spread sheet. The physical problem will be explained in class. Estimate the value of the angle A for c = 24cm and w = 15cm in any way.
|
Circum c/cm
|
10
|
10
|
10
|
10
|
10
|
20
|
20
|
20
|
20
|
20
|
30
|
30
|
30
|
30
|
30
|
|
Tape width w/cm
|
3
|
5
|
7
|
9
|
11
|
3
|
5
|
7
|
9
|
11
|
3
|
5
|
7
|
9
|
11
|
|
Angle of Pitch A/deg
|
17
|
30
|
44
|
64
|
---
|
9
|
14
|
20
|
27
|
33
|
6
|
10
|
14
|
17
|
21
|
4. Suppose you experiment with two different shoes and two different balls to determine the best combination for scoring the highest in bowling.
Below is the data. Can you come to some conclusion as to what may be the best combination?
One possible answer is there is no conclusion.
Note: Each combination was done at random and then put in the order below.
|
η
|
Shoes
|
Ball
|
|
176
|
A1
|
B1
|
|
176
|
A1
|
B2
|
|
186
|
A2
|
B1
|
|
184
|
A2
|
B2
|
|
180
|
A1
|
B1
|
|
182
|
A1
|
B2
|
|
182
|
A2
|
B1
|
|
188
|
A2
|
B2
|
|
|
|