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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 604 · 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.🛞 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)? =
  2. 2.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its diameter (c) its radius (d) its circumference
  3. 3.🛞 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 18 times. How far does the robot roll (in cm)?
  4. 4.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  5. 5.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  6. 6.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  7. 7.🛞 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 6 times. How far does the robot roll (in cm)?
  8. 8.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  9. 9.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  10. 10.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  11. 11.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  12. 12.🛞 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 6 times. How far does the robot roll (in cm)?
  13. 13.🛞 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 6 times. How far does the robot roll (in cm)?
  14. 14.🛞 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)? =
  15. 15.🛞 Circumference = π × … (a) speed (b) radius only (c) weight (d) diameter
  16. 16.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  17. 17.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 330 cm?
  18. 18.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 times (in cm)?
  20. 20.🛞 The diameter of a wheel is how many times its radius? (a) 3 (b) 4 (c) 1 (d) 2
  21. 21.🛞 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 18 times. How far does the robot roll (in cm)?
  22. 22.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  23. 23.🛞 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 15 times. How far does the robot roll (in cm)?
  24. 24.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  25. 25.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 264 cm?
  26. 26.🛞 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?
  27. 27.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  28. 28.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  29. 29.🛞 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)?
  30. 30.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 4 times (in cm)?
  31. 31.🛞 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 3 times. How far does the robot roll (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 21 cm (use π = 22/7). The motor turns 10 times. How far does the robot roll (in cm)?
  33. 33.🛞 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)? =
  34. 34.🛞 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)?
  35. 35.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  36. 36.🛞 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)? =
  37. 37.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  38. 38.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  39. 39.🛞 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?
  40. 40.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 1100 cm?

Answer key

  1. 37.68
  2. its circumference
  3. 396
  4. 132
  5. 88
  6. 44
  7. 264
  8. 62.8
  9. 44
  10. 660
  11. 157
  12. 132
  13. 88
  14. 56.52
  15. diameter
  16. 110
  17. 5
  18. 88
  19. 132
  20. 2
  21. 528
  22. 880
  23. 110
  24. 594
  25. 4
  26. 10
  27. 188.4
  28. 8
  29. 220
  30. 88
  31. 88
  32. 330
  33. 94.2
  34. 528
  35. 66
  36. 31.4
  37. 924
  38. 4
  39. 10
  40. 10

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