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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 78 · 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 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 2 times (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 5 times (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 9 times (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.🛞 A robot’s wheels have a diameter of 5 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  6. 6.🛞 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)?
  7. 7.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its circumference (c) its diameter (d) its radius
  8. 8.🛞 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)?
  9. 9.🛞 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)?
  10. 10.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)?
  11. 11.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  12. 12.🛞 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)? =
  13. 13.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) nowhere (b) slower (c) faster (d) backwards
  14. 14.🛞 A robot wheel has a diameter of 21 cm. Using π = 22/7, what is its circumference (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 42 cm (use π = 22/7). The motor turns 2 times. How far does the robot roll (in cm)?
  16. 16.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  17. 17.🛞 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?
  18. 18.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  19. 19.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  20. 20.🛞 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?
  21. 21.🛞 Circumference = π × … (a) weight (b) speed (c) radius only (d) diameter
  22. 22.🛞 The diameter of a wheel is how many times its radius? (a) 2 (b) 1 (c) 4 (d) 3
  23. 23.🛞 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)?
  24. 24.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how many full turns must they make to roll 550 cm?
  25. 25.🛞 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)?
  26. 26.🛞 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)? =
  27. 27.🛞 A robot’s wheels have a diameter of 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  28. 28.🛞 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)?
  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 4 times (in cm)? =
  30. 30.🛞 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 6 times. How far does the robot roll (in cm)?
  31. 31.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 7/22 (b) 22/7 (c) 2/7 (d) 22
  32. 32.🛞 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)?
  33. 33.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  34. 34.🛞 A robot’s wheels have a diameter of 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 1 time (in cm)? =
  35. 35.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (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 6 cm. Using π = 3.14, how far does the robot roll when the wheels turn 5 times (in cm)? =
  38. 38.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  39. 39.🛞 A robot wheel has a diameter of 28 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 many full turns must they make to roll 132 cm?

Answer key

  1. 37.68
  2. 157
  3. 198
  4. 44
  5. 15.7
  6. 88
  7. its circumference
  8. 770
  9. 1320
  10. 550
  11. 88
  12. 25.12
  13. faster
  14. 66
  15. 132
  16. 528
  17. 8
  18. 110
  19. 132
  20. 3
  21. diameter
  22. 2
  23. 198
  24. 5
  25. 44
  26. 78.5
  27. 18.84
  28. 132
  29. 125.6
  30. 220
  31. 22/7
  32. 440
  33. 22
  34. 62.8
  35. 132
  36. 528
  37. 94.2
  38. 44
  39. 88
  40. 3

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