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Pulleys and Wheel and Axle Worksheet

Engineering lesson 14: Pulleys and the wheel and axle · Set 431 · 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 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 440 N bucket on the axle, in newtons? (ideal)
  2. 2.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
  3. 3.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 570 N bucket on the axle, in newtons? (ideal)
  4. 4.🪝 More rope sections holding a load means … (a) no change (b) more effort needed (c) the load floats (d) less effort needed
  5. 5.🪝 A bucket weighing 490 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  6. 6.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
  7. 7.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
  8. 8.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the colour of rope (d) the direction of pull
  9. 9.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
  10. 10.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a sharp wedge (c) a smaller rod (axle) (d) a flat ramp
  11. 11.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
  12. 12.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
  13. 13.🪝 A bucket weighing 390 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  14. 14.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
  15. 15.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
  16. 16.🪝 A load of 800 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  17. 17.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
  18. 18.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1440 N bucket on the axle, in newtons? (ideal)
  19. 19.🪝 A bucket weighing 80 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  20. 20.True or false: a fixed pulley stays in one place. (a) False (b) True
  21. 21.🪝 A pulley system lifts a 60 N load with an effort of 30 N. What is its mechanical advantage (MA)?
  22. 22.🪝 A load of 390 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  23. 23.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
  24. 24.🪝 A pulley system lifts a 380 N load with an effort of 190 N. What is its mechanical advantage (MA)?
  25. 25.True or false: a fixed pulley only changes direction. (a) True (b) False
  26. 26.🪝 A pulley system lifts a 1080 N load with an effort of 270 N. What is its mechanical advantage (MA)?
  27. 27.🪝 A pulley system lifts a 510 N load with an effort of 170 N. What is its mechanical advantage (MA)?
  28. 28.🪝 A load of 160 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  29. 29.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
  30. 30.🪝 A bucket weighing 420 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  31. 31.🪝 A winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
  32. 32.🪝 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)
  33. 33.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
  34. 34.🪝 A bucket weighing 220 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
  35. 35.🪝 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)
  36. 36.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
  37. 37.🪝 A load of 720 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
  38. 38.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
  39. 39.🪝 A pulley system lifts a 1160 N load with an effort of 290 N. What is its mechanical advantage (MA)?
  40. 40.🪝 A bucket weighing 470 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)

Answer key

  1. 110
  2. 3
  3. 190
  4. less effort needed
  5. 490
  6. a movable pulley
  7. 5
  8. the direction of pull
  9. 32
  10. a smaller rod (axle)
  11. a movable pulley
  12. 7
  13. 390
  14. a fixed pulley
  15. a movable pulley
  16. 200
  17. a fixed pulley
  18. 180
  19. 80
  20. True
  21. 2
  22. 130
  23. 3
  24. 2
  25. True
  26. 4
  27. 3
  28. 80
  29. True
  30. 420
  31. 30
  32. 180
  33. 8
  34. 220
  35. 150
  36. a movable pulley
  37. 240
  38. 2
  39. 4
  40. 470

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