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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 671 · 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 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  2. 2.🛞 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 3 times. How far does the robot roll (in cm)?
  3. 3.🛞 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)? =
  4. 4.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  5. 5.🛞 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)?
  6. 6.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  7. 7.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 35 cm (use π = 22/7). The motor turns 10 times. How far does the robot roll (in cm)?
  8. 8.🛞 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)?
  9. 9.🛞 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
  10. 10.🛞 The diameter of a wheel is how many times its radius? (a) 4 (b) 3 (c) 2 (d) 1
  11. 11.🛞 Circumference = π × … (a) weight (b) radius only (c) diameter (d) speed
  12. 12.🛞 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)?
  13. 13.🛞 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)?
  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 2 times (in cm)? =
  15. 15.🛞 How far does a wheel roll in one full turn? (a) its radius (b) its circumference (c) its diameter (d) its weight
  16. 16.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  17. 17.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 440 cm?
  18. 18.🛞 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)?
  19. 19.🛞 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)? =
  20. 20.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  21. 21.🛞 A robot’s wheels have a diameter of 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 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 14 cm (use π = 22/7). The motor turns 2 times. How far does the robot roll (in cm)?
  23. 23.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  24. 24.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 4 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 4 times (in cm)?
  26. 26.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 770 cm?
  27. 27.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 440 cm?
  28. 28.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 220 cm?
  29. 29.🛞 A robot’s wheels have a diameter of 14 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 10 times. How far does the robot roll (in cm)?
  31. 31.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  32. 32.🛞 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)?
  33. 33.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) nowhere (b) faster (c) backwards (d) slower
  34. 34.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 88 cm?
  35. 35.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 352 cm?
  36. 36.🛞 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?
  37. 37.🛞 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 3 times. How far does the robot roll (in 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 330 cm?
  39. 39.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  40. 40.🛞 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 6 times. How far does the robot roll (in cm)?

Answer key

  1. 550
  2. 88
  3. 18.84
  4. 44
  5. 352
  6. 188.4
  7. 550
  8. 440
  9. 22/7
  10. 2
  11. diameter
  12. 770
  13. 660
  14. 50.24
  15. its circumference
  16. 132
  17. 10
  18. 176
  19. 62.8
  20. 110
  21. 47.1
  22. 44
  23. 44
  24. 125.6
  25. 528
  26. 7
  27. 4
  28. 10
  29. 4
  30. 110
  31. 132
  32. 396
  33. faster
  34. 4
  35. 8
  36. 2
  37. 132
  38. 3
  39. 88
  40. 44

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