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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 134 · 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 wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  2. 2.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in 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 5 times (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 42 cm (use π = 22/7). The motor turns 2 times. How far does the robot roll (in cm)?
  5. 5.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  6. 6.🛞 How far does a wheel roll in one full turn? (a) its radius (b) its circumference (c) its diameter (d) its weight
  7. 7.🛞 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)?
  8. 8.🛞 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)?
  9. 9.🛞 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)?
  10. 10.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 times (in cm)?
  11. 11.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 880 cm?
  12. 12.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) backwards (c) faster (d) nowhere
  13. 13.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  14. 14.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  15. 15.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  16. 16.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 4 (c) 3 (d) 2
  17. 17.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 396 cm?
  18. 18.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 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)? =
  20. 20.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  21. 21.🛞 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)?
  22. 22.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (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 1 time (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’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 660 cm?
  26. 26.🛞 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)? =
  27. 27.🛞 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)?
  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 2 times (in cm)? =
  29. 29.🛞 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)?
  30. 30.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 990 cm?
  31. 31.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  32. 32.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  33. 33.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (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 88 cm?
  35. 35.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  36. 36.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  37. 37.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (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 12 times. How far does the robot roll (in cm)?
  39. 39.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  40. 40.🛞 Circumference = π × … (a) diameter (b) speed (c) weight (d) radius only

Answer key

  1. 66
  2. 132
  3. 125.6
  4. 132
  5. 132
  6. its circumference
  7. 660
  8. 660
  9. 22
  10. 264
  11. 8
  12. faster
  13. 308
  14. 110
  15. 792
  16. 2
  17. 3
  18. 22
  19. 314
  20. 44
  21. 88
  22. 462
  23. 18.84
  24. 75.36
  25. 5
  26. 47.1
  27. 220
  28. 31.4
  29. 528
  30. 9
  31. 88
  32. 1056
  33. 88
  34. 2
  35. 990
  36. 1320
  37. 154
  38. 792
  39. 1100
  40. diameter

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