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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 601 · 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 42 cm. Using π = 22/7, what is its circumference (in cm)?
  2. 2.🛞 Circumference = π × … (a) weight (b) radius only (c) speed (d) diameter
  3. 3.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 22/7 (b) 7/22 (c) 22 (d) 2/7
  4. 4.🛞 The diameter of a wheel is how many times its radius? (a) 3 (b) 1 (c) 2 (d) 4
  5. 5.🛞 A robot wheel has a diameter of 35 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 diameter (b) its weight (c) its radius (d) its circumference
  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’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)? =
  9. 9.🛞 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)? =
  10. 10.🛞 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?
  11. 11.🛞 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)?
  12. 12.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  13. 13.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  14. 14.🛞 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)? =
  15. 15.🛞 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)?
  16. 16.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 396 cm?
  17. 17.🛞 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?
  18. 18.🛞 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?
  19. 19.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  20. 20.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) faster (b) nowhere (c) backwards (d) slower
  21. 21.🛞 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 6 times. How far does the robot roll (in cm)?
  22. 22.🛞 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)?
  23. 23.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  24. 24.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  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 6 times (in cm)?
  26. 26.🛞 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)? =
  27. 27.🛞 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 10 times. How far does the robot roll (in cm)?
  28. 28.🛞 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)?
  29. 29.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  30. 30.🛞 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)?
  31. 31.🛞 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)?
  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 2 times (in cm)?
  33. 33.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  34. 34.🛞 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)?
  35. 35.🛞 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)? =
  36. 36.🛞 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)?
  37. 37.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  38. 38.🛞 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 18 times. How far does the robot roll (in cm)?
  39. 39.🛞 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)? =
  40. 40.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 880 cm?

Answer key

  1. 132
  2. diameter
  3. 22/7
  4. 2
  5. 110
  6. its circumference
  7. 132
  8. 62.8
  9. 125.6
  10. 9
  11. 44
  12. 88
  13. 8
  14. 100.48
  15. 110
  16. 9
  17. 3
  18. 7
  19. 88
  20. faster
  21. 66
  22. 440
  23. 132
  24. 132
  25. 792
  26. 18.84
  27. 440
  28. 1320
  29. 66
  30. 176
  31. 704
  32. 176
  33. 396
  34. 528
  35. 78.5
  36. 220
  37. 22
  38. 396
  39. 62.8
  40. 10

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