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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 136 · 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 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  2. 2.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its diameter (c) its radius (d) its weight
  3. 3.🛞 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)? =
  4. 4.🛞 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)? =
  5. 5.🛞 Circumference = π × … (a) weight (b) diameter (c) speed (d) radius only
  6. 6.🛞 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)?
  7. 7.🛞 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 12 times. How far does the robot roll (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 1 time (in cm)? =
  9. 9.🛞 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?
  10. 10.🛞 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)?
  11. 11.🛞 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 6 times. How far does the robot roll (in cm)?
  12. 12.🛞 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)?
  13. 13.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  14. 14.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  15. 15.🛞 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 15 times. How far does the robot roll (in cm)?
  16. 16.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) backwards (b) faster (c) nowhere (d) slower
  17. 17.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  18. 18.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 2/7 (b) 7/22 (c) 22/7 (d) 22
  19. 19.🛞 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?
  20. 20.🛞 The diameter of a wheel is how many times its radius? (a) 3 (b) 2 (c) 1 (d) 4
  21. 21.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  22. 22.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (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 wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  25. 25.🛞 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?
  26. 26.🛞 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?
  27. 27.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 352 cm?
  28. 28.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  29. 29.🛞 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 2 times. How far does the robot roll (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 28 cm (use π = 22/7). The motor turns 2 times. How far does the robot roll (in cm)?
  31. 31.🛞 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 9 times. How far does the robot roll (in cm)?
  32. 32.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 88 cm?
  33. 33.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 220 cm?
  34. 34.🛞 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 15 times. How far does the robot roll (in cm)?
  35. 35.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 44 cm?
  36. 36.🛞 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 18 times. How far does the robot roll (in cm)?
  37. 37.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 times (in cm)?
  38. 38.🛞 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)?
  39. 39.🛞 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?
  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. 220
  2. its circumference
  3. 62.8
  4. 94.2
  5. diameter
  6. 176
  7. 528
  8. 15.7
  9. 10
  10. 308
  11. 330
  12. 792
  13. 66
  14. 110
  15. 440
  16. faster
  17. 44
  18. 22/7
  19. 10
  20. 2
  21. 132
  22. 88
  23. 44
  24. 88
  25. 7
  26. 8
  27. 4
  28. 132
  29. 66
  30. 88
  31. 132
  32. 2
  33. 5
  34. 330
  35. 2
  36. 660
  37. 132
  38. 44
  39. 5
  40. 176

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