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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 87 · 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.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) backwards (c) nowhere (d) faster
  2. 2.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (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’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 660 cm?
  5. 5.🛞 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)?
  6. 6.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  7. 7.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  8. 8.🛞 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)?
  9. 9.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its radius (c) its weight (d) its diameter
  10. 10.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  11. 11.🛞 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)? =
  12. 12.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  13. 13.🛞 Circumference = π × … (a) weight (b) diameter (c) speed (d) radius only
  14. 14.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 660 cm?
  15. 15.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 2 (c) 3 (d) 4
  16. 16.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  17. 17.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  18. 18.🛞 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?
  19. 19.🛞 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 15 times. How far does the robot roll (in cm)?
  20. 20.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  21. 21.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 7/22 (b) 2/7 (c) 22/7 (d) 22
  22. 22.🛞 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)?
  23. 23.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  24. 24.🛞 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)? =
  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 3 times (in cm)?
  26. 26.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  27. 27.🛞 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)? =
  28. 28.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 264 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 132 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 6 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 28 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 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 4 times (in cm)?
  33. 33.🛞 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)?
  34. 34.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 528 cm?
  35. 35.🛞 A robot’s wheels have a diameter of 8 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  36. 36.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 4 times (in cm)? =
  37. 37.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 264 cm?
  38. 38.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 264 cm?
  39. 39.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  40. 40.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 440 cm?

Answer key

  1. faster
  2. 88
  3. 18.84
  4. 10
  5. 44
  6. 22
  7. 132
  8. 88
  9. its circumference
  10. 44
  11. 75.36
  12. 31.4
  13. diameter
  14. 5
  15. 2
  16. 132
  17. 88
  18. 5
  19. 110
  20. 44
  21. 22/7
  22. 616
  23. 528
  24. 37.68
  25. 396
  26. 1100
  27. 125.6
  28. 3
  29. 3
  30. 264
  31. 264
  32. 528
  33. 22
  34. 4
  35. 125.6
  36. 251.2
  37. 2
  38. 4
  39. 352
  40. 5

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