Pulleys and Wheel and Axle Worksheet
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.🪝 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?
- 2.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 900 N bucket on the axle, in newtons? (ideal)
- 3.🪝 A bucket weighing 370 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 4.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 5.🪝 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)
- 6.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 7.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 8.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 9.🪝 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)
- 10.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 280 N bucket on the axle, in newtons? (ideal)
- 11.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 12.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 13.🪝 What does a single fixed pulley change? (a) gravity (b) the colour of rope (c) the direction of pull (d) the size of the load
- 14.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 15.🪝 A load of 920 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.🪝 A load of 400 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 17.🪝 A winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 650 N bucket on the axle, in newtons? (ideal)
- 18.🪝 A well winch has a handle (wheel) of radius 30 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 19.🪝 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)
- 20.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 21.🪝 A pulley system lifts a 90 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 22.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 23.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 24.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) less effort needed (d) no change
- 25.🪝 A load of 810 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 26.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 27.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 28.True or false: a fixed pulley rises with the load. (a) True (b) False
- 29.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 30.🪝 A bucket weighing 250 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.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 32.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 33.🪝 A load of 380 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 34.🪝 A bucket weighing 190 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.True or false: a fixed pulley halves the effort. (a) True (b) False
- 36.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 570 N bucket on the axle, in newtons? (ideal)
- 37.True or false: a movable pulley only changes direction. (a) False (b) True
- 38.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 560 N bucket on the axle, in newtons? (ideal)
- 39.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 40.🪝 A load of 780 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 2
- 180
- 370
- a fixed pulley
- 260
- a movable pulley
- a movable pulley
- a fixed pulley
- 80
- 70
- a fixed pulley
- 90
- the direction of pull
- 27
- 230
- 100
- 130
- 6
- 230
- 30
- 3
- 40
- 1
- less effort needed
- 270
- 40
- False
- False
- a movable pulley
- 250
- a movable pulley
- True
- 190
- 190
- False
- 190
- False
- 140
- 12
- 260
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