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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 871 · 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 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  2. 2.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) faster (c) backwards (d) nowhere
  3. 3.🛞 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)?
  4. 4.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its diameter (c) its radius (d) its weight
  5. 5.🛞 A robot’s wheels have a diameter of 8 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  6. 6.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 264 cm?
  7. 7.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  8. 8.🛞 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)? =
  9. 9.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  10. 10.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  11. 11.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  12. 12.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (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 diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  15. 15.🛞 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)? =
  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 wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  18. 18.🛞 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)?
  19. 19.🛞 Circumference = π × … (a) speed (b) radius only (c) weight (d) diameter
  20. 20.🛞 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 3 times. How far does the robot roll (in cm)?
  21. 21.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  22. 22.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  23. 23.🛞 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 2 times. How far does the robot roll (in cm)?
  24. 24.🛞 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)? =
  25. 25.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  26. 26.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 594 cm?
  27. 27.🛞 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?
  28. 28.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  29. 29.🛞 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)?
  30. 30.🛞 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 4 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 7 cm (use π = 22/7). The motor turns 8 times. How far does the robot roll (in cm)?
  32. 32.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 308 cm?
  33. 33.🛞 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 4 times. How far does the robot roll (in cm)?
  34. 34.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  35. 35.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  36. 36.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  37. 37.🛞 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)? =
  38. 38.🛞 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 8 times. How far does the robot roll (in cm)?
  39. 39.🛞 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 3 times. How far does the robot roll (in cm)?
  40. 40.🛞 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)?

Answer key

  1. 15.7
  2. faster
  3. 880
  4. its circumference
  5. 75.36
  6. 3
  7. 88
  8. 47.1
  9. 440
  10. 550
  11. 66
  12. 44
  13. 44
  14. 66
  15. 37.68
  16. 110
  17. 88
  18. 132
  19. diameter
  20. 66
  21. 132
  22. 264
  23. 22
  24. 75.36
  25. 22
  26. 9
  27. 10
  28. 125.6
  29. 264
  30. 220
  31. 88
  32. 7
  33. 88
  34. 132
  35. 660
  36. 198
  37. 18.84
  38. 528
  39. 44
  40. 528

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