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Robotics Worksheet: Wheel Distance

Robotics lesson 15: Wheels and distance · Set 533 · 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.🛞 How far does a wheel roll in one full turn? (a) its weight (b) its circumference (c) its diameter (d) its radius
  2. 2.🛞 A robot wheel has a diameter of 42 cm. Using π = 22/7, what is its circumference (in cm)?
  3. 3.🛞 A robot wheel has a diameter of 35 cm. Using π = 22/7, what is its circumference (in cm)?
  4. 4.🛞 With the same motor speed, a bigger wheel makes the robot go … (a) faster (b) nowhere (c) backwards (d) slower
  5. 5.🛞 A robot wheel has a radius of 14 cm. Using π = 22/7, what is its circumference (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 35 cm (use π = 22/7). The motor turns 6 times. How far does the robot roll (in cm)?
  7. 7.🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  8. 8.🛞 Which value of π is easiest for wheels of 7 cm, 14 cm or 21 cm? (a) 7/22 (b) 22 (c) 22/7 (d) 2/7
  9. 9.🛞 Circumference = π × … (a) weight (b) diameter (c) radius only (d) speed
  10. 10.🛞 A robot’s wheels have a diameter of 42 cm. Using π = 22/7, how many full turns must they make to roll 1320 cm?
  11. 11.🛞 The diameter of a wheel is how many times its radius? (a) 1 (b) 4 (c) 2 (d) 3
  12. 12.🛞 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)? =
  13. 13.🛞 A robot wheel has a radius of 21 cm. Using π = 22/7, what is its circumference (in cm)?
  14. 14.🛞 A robot’s wheels have a diameter of 7 cm. Using π = 22/7, how far does the robot roll when the wheels turn 3 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 528 cm?
  16. 16.🛞 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)? =
  17. 17.🛞 A robot’s wheels have a diameter of 28 cm. Using π = 22/7, how many full turns must they make to roll 792 cm?
  18. 18.🛞 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?
  19. 19.🛞 A robot wheel has a diameter of 28 cm. Using π = 22/7, what is its circumference (in cm)?
  20. 20.🛞 A robot’s wheels have a diameter of 35 cm. Using π = 22/7, how far does the robot roll when the wheels turn 9 times (in cm)?
  21. 21.🛞 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 9 times. How far does the robot roll (in cm)?
  22. 22.🛞 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)?
  23. 23.🛞 A robot wheel has a diameter of 14 cm. Using π = 22/7, what is its circumference (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 7 cm (use π = 22/7). The motor turns 10 times. How far does the robot roll (in cm)?
  25. 25.🛞 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)?
  26. 26.🛞 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 12 times. How far does the robot roll (in cm)?
  27. 27.🛞 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 10 times. How far does the robot roll (in cm)?
  28. 28.🛞 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)? =
  29. 29.🛞 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)?
  30. 30.🛞 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)?
  31. 31.🛞 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)? =
  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 4 times (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 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 2 times. How far does the robot roll (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 7 cm (use π = 22/7). The motor turns 9 times. How far does the robot roll (in cm)?
  36. 36.🛞 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)?
  37. 37.🛞 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)? =
  38. 38.🛞 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 8 times. How far does the robot roll (in cm)?
  39. 39.🛞 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?
  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 5 times (in cm)? =

Answer key

  1. its circumference
  2. 132
  3. 110
  4. faster
  5. 88
  6. 330
  7. 396
  8. 22/7
  9. diameter
  10. 10
  11. 2
  12. 157
  13. 132
  14. 66
  15. 4
  16. 31.4
  17. 9
  18. 9
  19. 88
  20. 990
  21. 396
  22. 264
  23. 44
  24. 110
  25. 110
  26. 132
  27. 550
  28. 75.36
  29. 198
  30. 176
  31. 75.36
  32. 125.6
  33. 22
  34. 22
  35. 66
  36. 88
  37. 94.2
  38. 528
  39. 4
  40. 94.2

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