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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 253 · 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 14 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  2. 2.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  3. 3.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 4 times (in cm)?
  4. 4.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  5. 5.🛞 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?
  6. 6.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its radius (c) its diameter (d) its weight
  7. 7.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  8. 8.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  9. 9.🛞 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
  10. 10.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 44 cm?
  11. 11.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  12. 12.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) nowhere (c) backwards (d) faster
  13. 13.🛞 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?
  14. 14.🛞 A robot wheel has a radius of 7 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 far does the robot roll when the wheels turn 7 times (in cm)?
  16. 16.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 594 cm?
  17. 17.🛞 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)? =
  18. 18.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 2 (c) 4 (d) 3
  20. 20.🛞 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 6 times. How far does the robot roll (in cm)?
  21. 21.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  22. 22.🛞 Circumference = π × … (a) radius only (b) diameter (c) speed (d) weight
  23. 23.🛞 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)?
  24. 24.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 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 10 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 9 times (in cm)?
  27. 27.🛞 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 3 times. How far does the robot roll (in cm)?
  28. 28.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  29. 29.🛞 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)?
  30. 30.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  31. 31.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  32. 32.🛞 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)? =
  33. 33.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  34. 34.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  35. 35.🛞 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)?
  36. 36.🛞 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)?
  37. 37.🛞 A robot’s wheels have a diameter of 8 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 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 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 4 times (in cm)? =
  40. 40.🛞 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)?

Answer key

  1. 4
  2. 132
  3. 88
  4. 22
  5. 3
  6. its circumference
  7. 110
  8. 88
  9. 22/7
  10. 2
  11. 132
  12. faster
  13. 10
  14. 44
  15. 924
  16. 9
  17. 50.24
  18. 88
  19. 2
  20. 132
  21. 125.6
  22. diameter
  23. 176
  24. 94.2
  25. 1320
  26. 198
  27. 22
  28. 528
  29. 990
  30. 154
  31. 660
  32. 188.4
  33. 66
  34. 264
  35. 88
  36. 528
  37. 100.48
  38. 264
  39. 251.2
  40. 1100

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