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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 281 · 40 questions
TalentJR

Robot tip (Circumference × turns): Circumference = π × diameter (= 2 × π × radius). Use π = 22/7 for 7, 14, 21 … cm, or π = 3.14. Distance = circumference × turns. Turns = distance ÷ circumference. With gears, find the wheel’s turns first.

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  1. 1.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) faster (b) nowhere (c) slower (d) backwards
  2. 2.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 264 cm?
  3. 3.🛞 A robot’s wheels have a diameter of 8 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  4. 4.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 21 cm (use π = 22/7). The motor turns 8 times. How far does the robot roll (in cm)?
  5. 5.🛞 A motor’s 10-tooth gear drives a 30-tooth gear on the wheel axle. The wheels have a diameter of 21 cm (use π = 22/7). The motor turns 9 times. How far does the robot roll (in cm)?
  6. 6.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  7. 7.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 21 cm (use π = 22/7). The motor turns 4 times. How far does the robot roll (in cm)?
  8. 8.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  9. 9.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  10. 10.🛞 A motor’s 10-tooth gear drives a 30-tooth gear on the wheel axle. The wheels have a diameter of 42 cm (use π = 22/7). The motor turns 18 times. How far does the robot roll (in cm)?
  11. 11.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 132 cm?
  12. 12.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  13. 13.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 22 (b) 7/22 (c) 22/7 (d) 2/7
  14. 14.🛞 A motor’s 10-tooth gear drives a 30-tooth gear on the wheel axle. The wheels have a diameter of 35 cm (use π = 22/7). The motor turns 15 times. How far does the robot roll (in cm)?
  15. 15.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 14 cm (use π = 22/7). The motor turns 2 times. How far does the robot roll (in cm)?
  16. 16.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its circumference (c) its radius (d) its diameter
  17. 17.🛞 A robot’s wheels have a diameter of 8 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  18. 18.🛞 A robot’s wheels have a diameter of 8 cm. Using π = 3.14, how far does the robot roll when the wheels turn 4 times (in cm)? =
  19. 19.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 220 cm?
  20. 20.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  21. 21.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 4 times (in cm)?
  22. 22.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 35 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  23. 23.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  24. 24.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  25. 25.🛞 A motor’s 10-tooth gear drives a 30-tooth gear on the wheel axle. The wheels have a diameter of 14 cm (use π = 22/7). The motor turns 15 times. How far does the robot roll (in cm)?
  26. 26.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 4 times (in cm)?
  27. 27.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  28. 28.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  29. 29.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 440 cm?
  30. 30.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  31. 31.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  32. 32.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 35 cm (use π = 22/7). The motor turns 8 times. How far does the robot roll (in cm)?
  33. 33.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  34. 34.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 330 cm?
  35. 35.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 4 times (in cm)? =
  36. 36.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  37. 37.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 616 cm?
  38. 38.🛞 A motor’s 10-tooth gear drives a 30-tooth gear on the wheel axle. The wheels have a diameter of 7 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  39. 39.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  40. 40.🛞 Circumference = π × … (a) diameter (b) radius only (c) weight (d) speed

Answer key

  1. faster
  2. 2
  3. 25.12
  4. 264
  5. 198
  6. 132
  7. 132
  8. 66
  9. 94.2
  10. 792
  11. 3
  12. 88
  13. 22/7
  14. 550
  15. 44
  16. its circumference
  17. 125.6
  18. 100.48
  19. 10
  20. 132
  21. 440
  22. 330
  23. 110
  24. 88
  25. 220
  26. 528
  27. 132
  28. 56.52
  29. 10
  30. 770
  31. 132
  32. 440
  33. 22
  34. 3
  35. 75.36
  36. 314
  37. 7
  38. 44
  39. 44
  40. diameter

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