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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 941 · 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 28 cm. Using π = 22/7, how many full turns must they make to roll 528 cm?
  2. 2.🛞 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?
  3. 3.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 198 cm?
  4. 4.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  5. 5.🛞 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)? =
  6. 6.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (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 21 cm (use π = 22/7). The motor turns 4 times. How far does the robot roll (in cm)?
  8. 8.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 4 (c) 3 (d) 2
  9. 9.🛞 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)? =
  10. 10.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  11. 11.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  12. 12.🛞 How far does a wheel roll in one full turn? (a) its diameter (b) its weight (c) its radius (d) its circumference
  13. 13.🛞 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 6 times. How far does the robot roll (in cm)?
  14. 14.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 22 (b) 7/22 (c) 2/7 (d) 22/7
  15. 15.🛞 Circumference = π × … (a) speed (b) weight (c) diameter (d) radius only
  16. 16.🛞 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)?
  17. 17.🛞 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)?
  18. 18.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 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)?
  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’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  22. 22.🛞 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?
  23. 23.🛞 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)? =
  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 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  26. 26.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  27. 27.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  28. 28.🛞 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)?
  29. 29.🛞 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)?
  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 2 times (in cm)?
  31. 31.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 1100 cm?
  32. 32.🛞 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)? =
  33. 33.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) nowhere (b) slower (c) backwards (d) faster
  34. 34.🛞 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 15 times. How far does the robot roll (in cm)?
  35. 35.🛞 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)? =
  36. 36.🛞 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 3 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 far does the robot roll when the wheels turn 10 times (in cm)?
  38. 38.🛞 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)?
  39. 39.🛞 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)?
  40. 40.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 4 times (in cm)? =

Answer key

  1. 6
  2. 10
  3. 3
  4. 132
  5. 47.1
  6. 44
  7. 132
  8. 2
  9. 62.8
  10. 22
  11. 924
  12. its circumference
  13. 88
  14. 22/7
  15. diameter
  16. 880
  17. 1320
  18. 88
  19. 220
  20. 132
  21. 792
  22. 5
  23. 56.52
  24. 88
  25. 31.4
  26. 176
  27. 990
  28. 88
  29. 22
  30. 264
  31. 10
  32. 25.12
  33. faster
  34. 220
  35. 62.8
  36. 44
  37. 440
  38. 352
  39. 110
  40. 75.36

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