Wednesday, December 8, 2010

Gears and Speed

1. see chart
2. see chart
3.
i.No. The different gear sizes caused it to go different distances. The robot is also not very precise.
ii. see chart
iii. To calculate the average speed.
4. see chart
5. No. This was only three trials with one gear ratio. We need to test different ratios and do more tests in order to conclude anything.
6. That is not how far it went. The back wheels did not start at the line, so measuring from the line to the back wheels with not include the length of the robot in the distance traveled.
7. 18.64 cm/s
8. 51.77 cm/s
9. 51.77 cm/s
10. 18.64 cm/s
11. see chart
12. see chart
13. 156.83 cm
14. 52.28 cm/s
15.
i. 18.64 cm/s
ii. 52.28 cm/s
iii. no
16.
i. 51.77 cm/s
ii. 52.28 cm/s
iii. yes
17.
i. Hypothesis B did a much better job of predicting average speed.
ii. The actual speed for Condition 2 was 52.28 cm/s and Hypothesis B predicted that it would be 51.77 cm/s, which is very close.
iii. Yes. We have disproved it twice, so we can conclude that it is incorrect.
iv. No. We will need to prove it more than twice to conclude that a hypothesis is incorrect.
v. Hypothesis B has the stronger support for it at this moment.
18. see chart
19. see chart
20. 55.83 cm
21. 18.61 cm/s
22.
i. 51.77 cm/s
ii. 18.61 cm/s
iii. no
23.
i. 18.64 cm/s
ii. 18.61 cm/s
iii. yes
24.
i. Hypothesis B
ii. The actual speed for Condition 3 was 18.61 cm/s and Hypothesis B predicted that it would be 18.64 cm/s, which is very close.
iii. Yes. We have disproved Hypothesis A already, so disproving it again proves that it is incorrect.
iv. No. We have only proved it twice, which could be flukes. We must test other ratios and more trials in order to conclude that it is absolutely correct.
v. Hypothesis B because it has been very accurate.
25. Hypothesis B was correct. To prove this we took different gear ratios and tested them to see how far they would go in three seconds. We then calculated the average speed and used the theories to predict how far they should have gone. Hypothesis B was correct since it was the more accurate.
26.
i. B
ii. A
iii. directly proportional
iv. It would be directly proportional because if it has a bigger wheel size, it will travel farther.
27. (36/6)*(16/16)= (x/3)*(18/6)
     x =12 cm
28. (1.5)*(1)=(x)*(8/24)
     x = 4.5
    No. It will go too fast.
29. (9)*(1)=(15)*(36/x)
     x = 60 teeth

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