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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 565 · 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 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 6 times. How far does the robot roll (in cm)?
  2. 2.🛞 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?
  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 4 times (in cm)? =
  4. 4.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 132 cm?
  5. 5.🛞 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)? =
  6. 6.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) faster (b) slower (c) backwards (d) nowhere
  7. 7.🛞 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)?
  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 wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  10. 10.🛞 Circumference = π × … (a) speed (b) weight (c) radius only (d) diameter
  11. 11.🛞 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 4 times. How far does the robot roll (in cm)?
  12. 12.🛞 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)?
  13. 13.🛞 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)? =
  14. 14.🛞 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 15 times. How far does the robot roll (in cm)?
  15. 15.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  16. 16.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 660 cm?
  17. 17.🛞 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 12 times. How far does the robot roll (in cm)?
  18. 18.🛞 A robot wheel has a radius of 7 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 12 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 5 times (in cm)? =
  21. 21.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 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 7 cm (use π = 22/7). The motor turns 2 times. How far does the robot roll (in cm)?
  23. 23.🛞 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)?
  24. 24.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  25. 25.🛞 How far does a wheel roll in one full turn? (a) its radius (b) its weight (c) its circumference (d) its diameter
  26. 26.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  27. 27.🛞 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)? =
  28. 28.🛞 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 15 times. How far does the robot roll (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 14 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  30. 30.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  31. 31.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 264 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 4 times (in 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 2 times. How far does the robot roll (in cm)?
  34. 34.🛞 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)?
  35. 35.🛞 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)?
  36. 36.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  37. 37.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  38. 38.🛞 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)? =
  39. 39.🛞 The diameter of a wheel is how many times its radius? (a) 2 (b) 3 (c) 4 (d) 1
  40. 40.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?

Answer key

  1. 396
  2. 8
  3. 100.48
  4. 2
  5. 31.4
  6. faster
  7. 440
  8. 66
  9. 110
  10. diameter
  11. 44
  12. 264
  13. 75.36
  14. 660
  15. 22
  16. 6
  17. 88
  18. 44
  19. 352
  20. 78.5
  21. 88
  22. 22
  23. 154
  24. 132
  25. its circumference
  26. 176
  27. 75.36
  28. 330
  29. 88
  30. 528
  31. 6
  32. 528
  33. 44
  34. 528
  35. 176
  36. 110
  37. 44
  38. 125.6
  39. 2
  40. 88

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