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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 807 · 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 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 4 times (in cm)? =
  2. 2.🛞 Circumference = π × … (a) radius only (b) speed (c) diameter (d) weight
  3. 3.🛞 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?
  4. 4.🛞 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)? =
  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 8 times (in cm)?
  6. 6.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  7. 7.🛞 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)? =
  8. 8.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  9. 9.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  10. 10.🛞 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)? =
  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.🛞 The diameter of a wheel is how many times its radius? (a) 4 (b) 2 (c) 3 (d) 1
  13. 13.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 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 3 times (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 2 times (in cm)? =
  16. 16.🛞 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 6 times. How far does the robot roll (in cm)?
  17. 17.🛞 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 8 times. How far does the robot roll (in cm)?
  18. 18.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 A robot wheel has a radius of 21 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) slower (b) nowhere (c) backwards (d) faster
  21. 21.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 154 cm?
  22. 22.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its weight (c) its radius (d) its diameter
  23. 23.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 396 cm?
  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) 7/22 (d) 22
  25. 25.🛞 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)?
  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 6 times (in cm)?
  27. 27.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  28. 28.🛞 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)?
  29. 29.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  30. 30.🛞 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)? =
  31. 31.🛞 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)?
  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 5 times (in cm)?
  33. 33.🛞 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?
  34. 34.🛞 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 12 times. How far does the robot roll (in cm)?
  35. 35.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  36. 36.🛞 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)?
  37. 37.🛞 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)?
  38. 38.🛞 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)?
  39. 39.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  40. 40.🛞 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 4 times. How far does the robot roll (in cm)?

Answer key

  1. 75.36
  2. diameter
  3. 10
  4. 50.24
  5. 704
  6. 88
  7. 125.6
  8. 132
  9. 88
  10. 62.8
  11. 44
  12. 2
  13. 264
  14. 75.36
  15. 37.68
  16. 264
  17. 88
  18. 66
  19. 132
  20. faster
  21. 7
  22. its circumference
  23. 3
  24. 22/7
  25. 770
  26. 132
  27. 44
  28. 176
  29. 44
  30. 62.8
  31. 330
  32. 220
  33. 5
  34. 396
  35. 110
  36. 110
  37. 396
  38. 660
  39. 314
  40. 44

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