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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 653 · 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.

NameDateTime takenScore ___ / 40
  1. 1.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 22 (b) 22/7 (c) 7/22 (d) 2/7
  2. 2.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  3. 3.🛞 The diameter of a wheel is how many times its radius? (a) 4 (b) 2 (c) 1 (d) 3
  4. 4.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  5. 5.🛞 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)?
  6. 6.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  7. 7.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its radius (c) its circumference (d) its diameter
  8. 8.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 44 cm?
  9. 9.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 88 cm?
  10. 10.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 660 cm?
  11. 11.🛞 Circumference = π × … (a) speed (b) radius only (c) diameter (d) weight
  12. 12.🛞 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 12 times. How far does the robot roll (in cm)?
  13. 13.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  14. 14.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  15. 15.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  16. 16.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  17. 17.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 28 cm (use π = 22/7). The motor turns 12 times. How far does the robot roll (in cm)?
  18. 18.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 A motor’s 10-tooth gear drives a 30-tooth gear on the wheel axle. The wheels have a diameter of 28 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  20. 20.🛞 A robot’s wheels have a diameter of 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  21. 21.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 7 cm (use π = 22/7). The motor turns 10 times. How far does the robot roll (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 12 times. How far does the robot roll (in cm)?
  23. 23.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  24. 24.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) backwards (b) slower (c) nowhere (d) faster
  25. 25.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  26. 26.🛞 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)? =
  27. 27.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  28. 28.🛞 A robot’s wheels have a diameter of 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  29. 29.🛞 A robot’s wheels have a diameter of 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  30. 30.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 28 cm (use π = 22/7). The motor turns 2 times. How far does the robot roll (in cm)?
  31. 31.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 42 cm (use π = 22/7). The motor turns 4 times. How far does the robot roll (in cm)?
  32. 32.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  33. 33.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  34. 34.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 352 cm?
  35. 35.🛞 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)? =
  36. 36.🛞 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 6 times. How far does the robot roll (in cm)?
  37. 37.🛞 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)?
  38. 38.🛞 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 18 times. How far does the robot roll (in cm)?
  39. 39.🛞 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 6 times. How far does the robot roll (in cm)?
  40. 40.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?

Answer key

  1. 22/7
  2. 37.68
  3. 2
  4. 44
  5. 264
  6. 132
  7. its circumference
  8. 2
  9. 2
  10. 10
  11. diameter
  12. 264
  13. 44
  14. 88
  15. 132
  16. 18.84
  17. 528
  18. 88
  19. 176
  20. 31.4
  21. 110
  22. 660
  23. 94.2
  24. faster
  25. 792
  26. 94.2
  27. 62.8
  28. 15.7
  29. 47.1
  30. 88
  31. 264
  32. 66
  33. 330
  34. 8
  35. 100.48
  36. 220
  37. 792
  38. 660
  39. 132
  40. 440

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