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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 602 · 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 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 times (in cm)?
  2. 2.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  3. 3.🛞 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?
  4. 4.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  5. 5.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 2/7 (b) 22 (c) 22/7 (d) 7/22
  6. 6.🛞 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?
  7. 7.🛞 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 12 times. How far does the robot roll (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 7 cm. Using π = 22/7, what is its circumference (in cm)?
  10. 10.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (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 21 cm (use π = 22/7). The motor turns 8 times. How far does the robot roll (in cm)?
  12. 12.🛞 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?
  13. 13.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its radius (c) its diameter (d) its weight
  14. 14.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  15. 15.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 924 cm?
  16. 16.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  17. 17.🛞 The diameter of a wheel is how many times its radius? (a) 3 (b) 1 (c) 2 (d) 4
  18. 18.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  20. 20.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  21. 21.🛞 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)? =
  22. 22.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  23. 23.🛞 Circumference = π × … (a) weight (b) speed (c) diameter (d) radius only
  24. 24.🛞 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?
  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 3 times (in cm)? =
  26. 26.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) backwards (c) nowhere (d) faster
  27. 27.🛞 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)?
  28. 28.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  29. 29.🛞 A robot’s wheels have a diameter of 21 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 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 10 times (in cm)?
  31. 31.🛞 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 10 times. How far does the robot roll (in cm)?
  32. 32.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  33. 33.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  34. 34.🛞 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?
  35. 35.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 440 cm?
  36. 36.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  37. 37.🛞 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)? =
  38. 38.🛞 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)? =
  39. 39.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  40. 40.🛞 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)?

Answer key

  1. 220
  2. 2
  3. 7
  4. 66
  5. 22/7
  6. 7
  7. 264
  8. 132
  9. 22
  10. 110
  11. 264
  12. 5
  13. its circumference
  14. 88
  15. 7
  16. 220
  17. 2
  18. 132
  19. 88
  20. 594
  21. 62.8
  22. 1056
  23. diameter
  24. 10
  25. 47.1
  26. faster
  27. 528
  28. 66
  29. 330
  30. 440
  31. 440
  32. 44
  33. 188.4
  34. 8
  35. 10
  36. 4
  37. 125.6
  38. 125.6
  39. 44
  40. 176

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