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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 304 · 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 radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  2. 2.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  3. 3.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 330 cm?
  4. 4.🛞 How far does a wheel roll in one full turn? (a) its diameter (b) its weight (c) its circumference (d) its radius
  5. 5.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 1056 cm?
  6. 6.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  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 3 times (in cm)?
  8. 8.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  9. 9.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (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 7 times (in cm)?
  11. 11.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 924 cm?
  12. 12.🛞 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)? =
  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’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)? =
  15. 15.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 2/7 (b) 22/7 (c) 22 (d) 7/22
  16. 16.🛞 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 10 times. How far does the robot roll (in cm)?
  17. 17.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  18. 18.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 1320 cm?
  20. 20.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 times (in cm)?
  21. 21.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  22. 22.🛞 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?
  23. 23.🛞 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)?
  24. 24.🛞 The diameter of a wheel is how many times its radius? (a) 2 (b) 4 (c) 3 (d) 1
  25. 25.🛞 A robot’s wheels have a diameter of 42 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 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  27. 27.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  28. 28.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  29. 29.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  30. 30.🛞 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)?
  31. 31.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 times (in cm)?
  32. 32.🛞 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?
  33. 33.🛞 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)? =
  34. 34.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  35. 35.🛞 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)?
  36. 36.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 132 cm?
  37. 37.🛞 A robot’s wheels have a diameter of 35 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 21 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  39. 39.🛞 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)? =
  40. 40.🛞 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)? =

Answer key

  1. 88
  2. 44
  3. 3
  4. its circumference
  5. 8
  6. 88
  7. 132
  8. 44
  9. 66
  10. 924
  11. 7
  12. 125.6
  13. 308
  14. 94.2
  15. 22/7
  16. 220
  17. 110
  18. 132
  19. 10
  20. 220
  21. 880
  22. 6
  23. 330
  24. 2
  25. 1188
  26. 1100
  27. 396
  28. 132
  29. 704
  30. 792
  31. 44
  32. 2
  33. 62.8
  34. 31.4
  35. 264
  36. 3
  37. 770
  38. 198
  39. 75.36
  40. 56.52

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