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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 77 · 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.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 3 (c) 4 (d) 2
  2. 2.🛞 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)?
  3. 3.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  4. 4.🛞 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)? =
  5. 5.🛞 A robot wheel has a radius of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  6. 6.🛞 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 6 times. How far does the robot roll (in cm)?
  7. 7.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  8. 8.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  9. 9.🛞 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)?
  10. 10.🛞 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 4 times. How far does the robot roll (in cm)?
  11. 11.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) slower (b) backwards (c) faster (d) nowhere
  12. 12.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its circumference (c) its diameter (d) its radius
  13. 13.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  14. 14.🛞 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)? =
  15. 15.🛞 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 12 times. How far does the robot roll (in cm)?
  16. 16.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 1056 cm?
  17. 17.🛞 Circumference = π × … (a) weight (b) speed (c) radius only (d) diameter
  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 6 times. How far does the robot roll (in cm)?
  19. 19.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 7 times (in cm)?
  20. 20.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 990 cm?
  21. 21.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 440 cm?
  22. 22.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 2/7 (b) 22/7 (c) 7/22 (d) 22
  23. 23.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  24. 24.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 396 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 5 times (in cm)?
  26. 26.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 times (in cm)?
  27. 27.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (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 2 times (in cm)? =
  29. 29.🛞 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 8 times. How far does the robot roll (in cm)?
  30. 30.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 396 cm?
  31. 31.🛞 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 18 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 7 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  33. 33.🛞 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)? =
  34. 34.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  35. 35.🛞 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 6 times. How far does the robot roll (in cm)?
  36. 36.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 880 cm?
  37. 37.🛞 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 18 times. How far does the robot roll (in cm)?
  38. 38.🛞 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?
  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 5 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 42 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?

Answer key

  1. 2
  2. 440
  3. 132
  4. 75.36
  5. 44
  6. 176
  7. 88
  8. 22
  9. 176
  10. 132
  11. faster
  12. its circumference
  13. 110
  14. 125.6
  15. 660
  16. 8
  17. diameter
  18. 396
  19. 770
  20. 9
  21. 4
  22. 22/7
  23. 66
  24. 6
  25. 660
  26. 132
  27. 88
  28. 31.4
  29. 176
  30. 3
  31. 132
  32. 66
  33. 62.8
  34. 44
  35. 88
  36. 8
  37. 528
  38. 4
  39. 314
  40. 264

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