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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 722 · 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 wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  2. 2.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  3. 3.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  4. 4.🛞 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)?
  5. 5.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  6. 6.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  7. 7.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) backwards (c) faster (d) nowhere
  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 3 times (in cm)?
  9. 9.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  10. 10.🛞 A robot’s wheels have a diameter of 10 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  11. 11.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its circumference (c) its diameter (d) its radius
  12. 12.🛞 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 4 times. How far does the robot roll (in cm)?
  13. 13.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 176 cm?
  14. 14.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  15. 15.🛞 Circumference = π × … (a) speed (b) diameter (c) weight (d) radius only
  16. 16.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  17. 17.🛞 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?
  18. 18.🛞 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 12 times. How far does the robot roll (in cm)?
  19. 19.🛞 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)?
  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 3 times. How far does the robot roll (in cm)?
  21. 21.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 22 (b) 22/7 (c) 7/22 (d) 2/7
  22. 22.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 3 (c) 2 (d) 4
  23. 23.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  24. 24.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  25. 25.🛞 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)?
  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 10 times (in cm)?
  27. 27.🛞 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)?
  28. 28.🛞 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)? =
  29. 29.🛞 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)?
  30. 30.🛞 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)? =
  31. 31.🛞 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)?
  32. 32.🛞 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)?
  33. 33.🛞 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)? =
  34. 34.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 110 cm?
  35. 35.🛞 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)? =
  36. 36.🛞 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)? =
  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 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)?
  39. 39.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  40. 40.🛞 A motor’s 10-tooth gear drives a 30-tooth gear on the wheel axle. The wheels have a diameter of 14 cm (use π = 22/7). The motor turns 12 times. How far does the robot roll (in cm)?

Answer key

  1. 88
  2. 62.8
  3. 198
  4. 220
  5. 110
  6. 66
  7. faster
  8. 396
  9. 44
  10. 157
  11. its circumference
  12. 264
  13. 8
  14. 88
  15. diameter
  16. 22
  17. 5
  18. 792
  19. 528
  20. 66
  21. 22/7
  22. 2
  23. 44
  24. 132
  25. 88
  26. 220
  27. 88
  28. 78.5
  29. 528
  30. 251.2
  31. 110
  32. 440
  33. 75.36
  34. 5
  35. 94.2
  36. 75.36
  37. 100.48
  38. 110
  39. 330
  40. 176

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