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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 685 · 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.

NameDateTime takenScore ___ / 40
  1. 1.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 2/7 (b) 7/22 (c) 22 (d) 22/7
  2. 2.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) faster (c) nowhere (d) backwards
  3. 3.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  4. 4.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  5. 5.🛞 How far does a wheel roll in one full turn? (a) its circumference (b) its diameter (c) its radius (d) its weight
  6. 6.🛞 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?
  7. 7.🛞 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)? =
  8. 8.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 2 times (in cm)?
  9. 9.🛞 A robot wheel has a diameter of 21 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.🛞 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)?
  12. 12.🛞 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)?
  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 924 cm?
  14. 14.🛞 A robot’s wheels have a diameter of 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (in cm)? =
  15. 15.🛞 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)?
  16. 16.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  17. 17.🛞 Circumference = π × … (a) diameter (b) speed (c) radius only (d) weight
  18. 18.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  19. 19.🛞 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)?
  20. 20.🛞 The diameter of a wheel is how many times its radius? (a) 4 (b) 2 (c) 3 (d) 1
  21. 21.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how far does the robot roll when the wheels turn 6 times (in cm)?
  22. 22.🛞 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)? =
  23. 23.🛞 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)?
  24. 24.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  25. 25.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  26. 26.🛞 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)?
  27. 27.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  28. 28.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  29. 29.🛞 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)? =
  30. 30.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (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 14 cm (use π = 22/7). The motor turns 3 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 3 times (in cm)?
  33. 33.🛞 A robot wheel has a radius 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 many full turns must they make to roll 880 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 2 times. How far does the robot roll (in cm)?
  36. 36.🛞 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)? =
  37. 37.🛞 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)?
  38. 38.🛞 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?
  39. 39.🛞 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)?
  40. 40.🛞 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)? =

Answer key

  1. 22/7
  2. faster
  3. 132
  4. 44
  5. its circumference
  6. 5
  7. 31.4
  8. 44
  9. 66
  10. 157
  11. 330
  12. 110
  13. 7
  14. 31.4
  15. 88
  16. 44
  17. diameter
  18. 396
  19. 154
  20. 2
  21. 792
  22. 125.6
  23. 22
  24. 22
  25. 88
  26. 440
  27. 220
  28. 110
  29. 94.2
  30. 88
  31. 44
  32. 396
  33. 132
  34. 10
  35. 44
  36. 25.12
  37. 132
  38. 8
  39. 88
  40. 37.68

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