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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 145 · 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 42 cm. Using π = 22/7, how many full turns must they make to roll 792 cm?
  2. 2.🛞 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)?
  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 1 time (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.🛞 Circumference = π × … (a) diameter (b) weight (c) speed (d) radius only
  6. 6.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its circumference (c) its radius (d) its diameter
  7. 7.🛞 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?
  8. 8.🛞 A robot wheel has a radius of 7 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.🛞 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)?
  11. 11.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (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 35 cm (use π = 22/7). The motor turns 12 times. How far does the robot roll (in cm)?
  13. 13.🛞 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)? =
  14. 14.🛞 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)?
  15. 15.🛞 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)? =
  16. 16.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 110 cm?
  17. 17.🛞 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 18 times. How far does the robot roll (in cm)?
  18. 18.🛞 The diameter of a wheel is how many times its radius? (a) 3 (b) 1 (c) 2 (d) 4
  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 924 cm?
  20. 20.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) nowhere (b) faster (c) backwards (d) slower
  21. 21.🛞 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)?
  22. 22.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 66 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 4 times (in cm)?
  24. 24.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  25. 25.🛞 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)?
  26. 26.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  27. 27.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  28. 28.🛞 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?
  29. 29.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  30. 30.🛞 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 12 times. How far does the robot roll (in cm)?
  31. 31.🛞 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)? =
  32. 32.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  33. 33.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 616 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 8 times (in cm)?
  35. 35.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  36. 36.🛞 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)? =
  37. 37.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  38. 38.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  39. 39.🛞 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)?
  40. 40.🛞 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 4 times. How far does the robot roll (in cm)?

Answer key

  1. 6
  2. 88
  3. 25.12
  4. 2
  5. diameter
  6. its circumference
  7. 8
  8. 44
  9. 110
  10. 330
  11. 66
  12. 440
  13. 37.68
  14. 704
  15. 15.7
  16. 5
  17. 264
  18. 2
  19. 7
  20. faster
  21. 880
  22. 3
  23. 88
  24. 88
  25. 154
  26. 352
  27. 88
  28. 6
  29. 2
  30. 132
  31. 125.6
  32. 660
  33. 7
  34. 1056
  35. 132
  36. 56.52
  37. 132
  38. 22
  39. 22
  40. 176

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