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Pulleys and Wheel and Axle Worksheet

Engineering lesson 14: Pulleys and the wheel and axle · Set 609 · 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 4 cm and an axle of radius 1 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
  2. 2.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts a 640 N bucket on the axle, in newtons? (ideal)
  3. 3.🪝 A pulley system lifts a 720 N load with an effort of 240 N. What is its mechanical advantage (MA)?
  4. 4.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a flat ramp (d) a sharp wedge
  5. 5.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
  6. 6.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 720 N bucket on the axle, in newtons? (ideal)
  7. 7.🪝 A bucket weighing 450 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  8. 8.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
  9. 9.🪝 A bucket weighing 130 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  10. 10.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) no change (d) less effort needed
  11. 11.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
  12. 12.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
  13. 13.🪝 A load of 140 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  14. 14.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
  15. 15.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
  16. 16.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
  17. 17.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
  18. 18.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 220 N bucket on the axle, in newtons? (ideal)
  19. 19.🪝 A load of 660 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  20. 20.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
  21. 21.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
  22. 22.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
  23. 23.🪝 What does a single fixed pulley change? (a) gravity (b) the direction of pull (c) the colour of rope (d) the size of the load
  24. 24.True or false: a fixed pulley only changes direction. (a) False (b) True
  25. 25.True or false: a movable pulley only changes direction. (a) True (b) False
  26. 26.🪝 A pulley system lifts a 160 N load with an effort of 80 N. What is its mechanical advantage (MA)?
  27. 27.True or false: a movable pulley needs effort = load. (a) False (b) True
  28. 28.🪝 A bucket weighing 170 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  29. 29.🪝 A bucket weighing 150 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 winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
  31. 31.🪝 A bucket weighing 270 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  32. 32.True or false: a movable pulley stays in one place. (a) True (b) False
  33. 33.True or false: a fixed pulley halves the effort. (a) False (b) True
  34. 34.🪝 A load of 520 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  35. 35.🪝 A load of 540 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  36. 36.🪝 A load of 460 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  37. 37.True or false: a fixed pulley rises with the load. (a) True (b) False
  38. 38.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
  39. 39.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
  40. 40.🪝 A winch has a wheel of radius 24 cm and an axle of radius 4 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)

Answer key

  1. 200
  2. 80
  3. 3
  4. a smaller rod (axle)
  5. 5
  6. 90
  7. 450
  8. a movable pulley
  9. 130
  10. less effort needed
  11. a movable pulley
  12. a fixed pulley
  13. 70
  14. a movable pulley
  15. a fixed pulley
  16. 18
  17. 6
  18. 110
  19. 220
  20. 2
  21. False
  22. True
  23. the direction of pull
  24. True
  25. False
  26. 2
  27. False
  28. 170
  29. 150
  30. 30
  31. 270
  32. False
  33. False
  34. 260
  35. 180
  36. 230
  37. False
  38. 18
  39. 15
  40. 50

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