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 3 m, how many metres of rope must you pull?
- 2.🪝 A load of 240 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 4.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1190 N bucket on the axle, in newtons? (ideal)
- 5.🪝 A load of 300 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 6.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 7.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 8.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 9.True or false: a fixed pulley halves the effort. (a) False (b) True
- 10.🪝 A pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 11.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 12.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 13.🪝 What does a single fixed pulley change? (a) the colour of rope (b) the direction of pull (c) the size of the load (d) gravity
- 14.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 15.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 16.True or false: a fixed pulley rises with the load. (a) True (b) False
- 17.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 910 N bucket on the axle, in newtons? (ideal)
- 18.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) less effort needed (d) no change
- 19.True or false: a fixed pulley only changes direction. (a) False (b) True
- 20.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1600 N bucket on the axle, in newtons? (ideal)
- 21.🪝 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)
- 22.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a smaller rod (axle) (d) a loose rope
- 23.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 24.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 25.🪝 A bucket weighing 40 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 26.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 27.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 28.🪝 A load of 120 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 A pulley system lifts a 500 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 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.🪝 A pulley system lifts a 180 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 32.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 33.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 34.🪝 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?
- 35.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 36.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 37.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 38.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 39.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 40.🪝 A load of 60 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
- 3
- 120
- 5
- 170
- 150
- 16
- False
- a movable pulley
- False
- 4
- 4
- a fixed pulley
- the direction of pull
- a fixed pulley
- a movable pulley
- False
- 130
- less effort needed
- True
- 200
- 200
- a smaller rod (axle)
- 4
- True
- 40
- a fixed pulley
- 200
- 40
- 2
- 420
- 3
- a fixed pulley
- 20
- 24
- 7
- 5
- True
- a movable pulley
- 36
- 20
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