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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 853 · 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 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  2. 2.🛞 Circumference = π × … (a) speed (b) diameter (c) weight (d) radius only
  3. 3.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  4. 4.🛞 A motor’s 10-tooth gear drives a 20-tooth gear on the wheel axle. The wheels have a diameter of 42 cm (use π = 22/7). The motor turns 10 times. How far does the robot roll (in cm)?
  5. 5.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) nowhere (c) faster (d) backwards
  6. 6.🛞 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)? =
  7. 7.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  8. 8.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  9. 9.🛞 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)?
  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 4 times (in cm)?
  11. 11.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its weight (c) its radius (d) its diameter
  12. 12.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 7/22 (b) 22/7 (c) 22 (d) 2/7
  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 42 cm. Using π = 22/7, what is its circumference (in cm)?
  15. 15.🛞 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 6 times. How far does the robot roll (in cm)?
  16. 16.🛞 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)?
  17. 17.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  18. 18.🛞 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)? =
  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 1 time (in cm)? =
  20. 20.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 4 (c) 2 (d) 3
  21. 21.🛞 A robot wheel has a diameter of 14 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’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 330 cm?
  24. 24.🛞 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)?
  25. 25.🛞 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 12 times. How far does the robot roll (in cm)?
  26. 26.🛞 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)? =
  27. 27.🛞 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?
  28. 28.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 462 cm?
  29. 29.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  30. 30.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 528 cm?
  31. 31.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  32. 32.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (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 660 cm?
  34. 34.🛞 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)? =
  35. 35.🛞 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 12 times. How far does the robot roll (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 42 cm (use π = 22/7). The motor turns 9 times. How far does the robot roll (in cm)?
  37. 37.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  38. 38.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  39. 39.🛞 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 8 times. How far does the robot roll (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 35 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?

Answer key

  1. 462
  2. diameter
  3. 44
  4. 660
  5. faster
  6. 78.5
  7. 88
  8. 1188
  9. 440
  10. 176
  11. its circumference
  12. 22/7
  13. 66
  14. 132
  15. 198
  16. 132
  17. 132
  18. 314
  19. 15.7
  20. 2
  21. 44
  22. 88
  23. 5
  24. 110
  25. 440
  26. 25.12
  27. 8
  28. 7
  29. 440
  30. 8
  31. 110
  32. 22
  33. 6
  34. 50.24
  35. 88
  36. 396
  37. 616
  38. 94.2
  39. 440
  40. 330

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