Wheels and Distance Worksheet

1. d: 5.8cm
2. C: 5.8∏cm
3. 2 rotations
4. 36.4cm
5. Trial 1: 35cm
Trial 2: 35.3cm
Trial 3: 35.2cm
6. i) no because this robot is not completely accurate all the time.
ii) 35.2 cm
iii) We can use the value to calculate the robot's precision and accuracy.
7. 3.3%
8. i) yes, it was relatively close.
ii) yes, it proved that the robot traveled a distance very close to our predicted value.
iii) no, in order to prove something, it needs to tested by more than just one set of trials.
9. The back wheels started the length of the robot behind the line. If you measured from the line to the back wheels, you would be leaving 1 length of the robot out of the measurement. It would not be the total distance traveled.
10. 3.1cm
11. 3.1∏cm
12. 2 rotations
13. 19.48cm
14. Trial 1: 19.1cm
Trial 2: 19.2cm
Trial 3: 19.4cm
15. 19.23cm
16. 1.28%
17. i)no, but it was very close
ii) No ,we have not gotten a set of trials exactly equal to the calculated value to absolutely prove it. Also only 2 sets of trials is not enough to prove a hypothesis, only support it.
iii) It could be proven by testing different robots with different wheels multiple times. Other people would also have to test it to see of they got the same results.
18. i) It supports it because while the values were not exactly what we calculated, they were very close every time.
ii) Based on this evidence, I would say that it is correct.
iii) We measured the diameter of the wheel and used it to calculate the circumference. We then multiplied the circumference by the number of rotations to get a total distance traveled. Finally we ran the robot and used a measuring stick to see how far the robot actually traveled.
19. i) D: 5.8cm therefore C: 5.8∏cm therefore 18.2cm/1rotation
ii)5.8∏x=10 x=10/5.8∏ x=.54 rotations .54*360=197.57 degrees
iii) 5.8∏x=20 x=20/5.8∏ x= 1.1 rotations 1.1*360= 395.14 degrees
iv) 5.8∏x=30 x=30/5.8∏ x=1.6 rotations 1.6* 360=592.7 degrees
v) d∏(r*360)=x
vi)No, it will only work with robots on wheels.
20. We can gauge exactly how far a number cm is, but it is harder to gauge a distance by rotations.
21. Every time the motor turns, the wheel turns as well. Therefore when the motor turns once, the wheel turns once.
22.i) 2.3∏(720/360)=14.5 cm
ii) No, the robots are not completely accurate.
23. It will go 4 times the distance.
24.i) 4.2∏(720/360)=26.4 cm 3∏(d/360)=26.4 d=1008.4 degrees
ii) It has no traction so it will not move correctly.
iii)It will have difficulty moving.
25. The team will have to change the programming to match the diameter for the new wheel. If you don't the robot will miscalculate distances.
26.i) d∏(360/360)=7.85 d=2.5 cm
ii)2.5∏(720/360)=x x=15.7 cm
27. i) d∏(2040/360)=65 d=3.7 cm
ii) d∏(1020/360)=65 d=7.3 cm
28. 2.7∏(9600/360)=x x=226.2 3in*(2.54cm/1in0=7.6cm 7.6∏(d/360)=226.2 d=3410.6
You need to change the degrees from 9600 to 8640.