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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 319 · 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.🛞 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
  3. 3.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 4 times (in cm)?
  4. 4.🛞 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?
  5. 5.🛞 The diameter of a wheel is how many times its radius? (a) 2 (b) 3 (c) 1 (d) 4
  6. 6.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (in cm)?
  7. 7.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  8. 8.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) nowhere (b) faster (c) slower (d) backwards
  9. 9.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how many full turns must they make to roll 88 cm?
  10. 10.🛞 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)? =
  11. 11.🛞 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)? =
  12. 12.🛞 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?
  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 1188 cm?
  14. 14.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (in cm)?
  15. 15.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 264 cm?
  16. 16.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  17. 17.🛞 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)? =
  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’s wheels have a diameter of 7 cm. Using π = 22/7, how many full turns must they make to roll 110 cm?
  20. 20.🛞 Circumference = π × … (a) radius only (b) speed (c) weight (d) diameter
  21. 21.🛞 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?
  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 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)?
  24. 24.🛞 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)?
  25. 25.🛞 How far does a wheel roll in one full turn? (a) its radius (b) its diameter (c) its circumference (d) its weight
  26. 26.🛞 A robot wheel has a diameter of 7 cm. Using π = 22/7, what is its circumference (in cm)?
  27. 27.🛞 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)? =
  28. 28.🛞 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)?
  29. 29.🛞 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)? =
  30. 30.🛞 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)? =
  31. 31.🛞 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)? =
  32. 32.🛞 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)? =
  33. 33.🛞 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 4 times. How far does the robot roll (in cm)?
  34. 34.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 8 times (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 28 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 20 cm. Using π = 3.14, how far does the robot roll when the wheels turn 3 times (in cm)? =
  37. 37.🛞 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 18 times. How far does the robot roll (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 88 cm?
  39. 39.🛞 A robot’s wheels have a diameter of 21 cm. Using π = 22/7, how many full turns must they make to roll 462 cm?
  40. 40.🛞 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 10 times. How far does the robot roll (in cm)?

Answer key

  1. 88
  2. 22/7
  3. 440
  4. 9
  5. 2
  6. 88
  7. 132
  8. faster
  9. 2
  10. 62.8
  11. 251.2
  12. 3
  13. 9
  14. 880
  15. 2
  16. 132
  17. 37.68
  18. 110
  19. 5
  20. diameter
  21. 2
  22. 125.6
  23. 792
  24. 176
  25. its circumference
  26. 22
  27. 157
  28. 264
  29. 18.84
  30. 75.36
  31. 15.7
  32. 94.2
  33. 220
  34. 176
  35. 176
  36. 188.4
  37. 660
  38. 4
  39. 7
  40. 220

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