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Pulleys and Wheel and Axle Worksheet

Engineering lesson 14: Pulleys and the wheel and axle · Set 406 · 40 questions
TalentJR

Engineer's tip (Count the ropes): Fixed pulley: changes direction, effort = load. Pulley system: effort = load ÷ supporting rope sections; rope pulled = lift height × that number. Wheel and axle: MA = wheel radius ÷ axle radius; effort = load ÷ MA.

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  1. 1.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1260 N bucket on the axle, in newtons? (ideal)
  2. 2.🪝 A bucket weighing 90 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  3. 3.🪝 A pulley system lifts a 400 N load with an effort of 200 N. What is its mechanical advantage (MA)?
  4. 4.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 980 N bucket on the axle, in newtons? (ideal)
  5. 5.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
  6. 6.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
  7. 7.🪝 A load of 400 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  8. 8.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
  9. 9.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
  10. 10.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
  11. 11.🪝 A pulley system lifts a 1200 N load with an effort of 300 N. What is its mechanical advantage (MA)?
  12. 12.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
  13. 13.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
  14. 14.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 550 N bucket on the axle, in newtons? (ideal)
  15. 15.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
  16. 16.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
  17. 17.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
  18. 18.True or false: a movable pulley is on a flagpole top. (a) False (b) True
  19. 19.🪝 A pulley system lifts a 270 N load with an effort of 90 N. What is its mechanical advantage (MA)?
  20. 20.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
  21. 21.🪝 A bucket weighing 50 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  22. 22.True or false: a fixed pulley halves the effort. (a) False (b) True
  23. 23.True or false: a fixed pulley only changes direction. (a) False (b) True
  24. 24.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
  25. 25.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
  26. 26.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
  27. 27.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
  28. 28.True or false: a fixed pulley needs effort = load. (a) True (b) False
  29. 29.🪝 A bucket weighing 110 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  30. 30.🪝 A load of 900 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  31. 31.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
  32. 32.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
  33. 33.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
  34. 34.True or false: a movable pulley halves the effort. (a) True (b) False
  35. 35.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
  36. 36.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
  37. 37.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
  38. 38.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
  39. 39.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a loose rope (d) a smaller rod (axle)
  40. 40.True or false: a movable pulley hangs on the rope loop. (a) False (b) True

Answer key

  1. 180
  2. 90
  3. 2
  4. 140
  5. 20
  6. a fixed pulley
  7. 200
  8. a movable pulley
  9. a fixed pulley
  10. 8
  11. 4
  12. 24
  13. False
  14. 110
  15. a movable pulley
  16. 3
  17. a movable pulley
  18. False
  19. 3
  20. 5
  21. 50
  22. False
  23. True
  24. 6
  25. 50
  26. 2
  27. 4
  28. True
  29. 110
  30. 300
  31. a fixed pulley
  32. a movable pulley
  33. 2
  34. True
  35. a fixed pulley
  36. 2
  37. 80
  38. 150
  39. a smaller rod (axle)
  40. True

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