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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 438 · 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 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  2. 2.🛞 The diameter of a wheel is how many times its radius? (a) 4 (b) 1 (c) 2 (d) 3
  3. 3.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  4. 4.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  5. 5.🛞 Circumference = π × … (a) diameter (b) speed (c) radius only (d) weight
  6. 6.🛞 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 10 times. How far does the robot roll (in cm)?
  7. 7.🛞 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 3 times. How far does the robot roll (in cm)?
  8. 8.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  9. 9.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 4 times (in cm)?
  10. 10.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  11. 11.🛞 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)?
  12. 12.🛞 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)?
  13. 13.🛞 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 8 times. How far does the robot roll (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 28 cm (use π = 22/7). The motor turns 18 times. How far does the robot roll (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 3 times (in cm)? =
  16. 16.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  17. 17.🛞 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)?
  18. 18.🛞 A robot’s wheels have a diameter of 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 4 times (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 wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  21. 21.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  22. 22.🛞 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?
  23. 23.🛞 How far does a wheel roll in one full turn? (a) its diameter (b) its radius (c) its weight (d) its circumference
  24. 24.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 22/7 (b) 2/7 (c) 22 (d) 7/22
  25. 25.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  26. 26.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) backwards (b) nowhere (c) slower (d) faster
  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 308 cm?
  28. 28.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 792 cm?
  29. 29.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 550 cm?
  30. 30.🛞 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)?
  31. 31.🛞 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)? =
  32. 32.🛞 A robot’s wheels have a diameter of 28 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 42 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  34. 34.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (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 42 cm (use π = 22/7). The motor turns 9 times. How far does the robot roll (in cm)?
  36. 36.🛞 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 18 times. How far does the robot roll (in cm)?
  37. 37.🛞 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?
  38. 38.🛞 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?
  39. 39.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  40. 40.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?

Answer key

  1. 94.2
  2. 2
  3. 88
  4. 62.8
  5. diameter
  6. 330
  7. 110
  8. 220
  9. 440
  10. 110
  11. 88
  12. 880
  13. 176
  14. 528
  15. 56.52
  16. 22
  17. 462
  18. 62.8
  19. 352
  20. 132
  21. 66
  22. 6
  23. its circumference
  24. 22/7
  25. 88
  26. faster
  27. 7
  28. 9
  29. 5
  30. 792
  31. 37.68
  32. 352
  33. 396
  34. 44
  35. 396
  36. 132
  37. 3
  38. 8
  39. 660
  40. 44

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