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 3 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 2.🪝 A pulley system lifts a 570 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 3.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 4.🪝 What does a single fixed pulley change? (a) the size of the load (b) gravity (c) the colour of rope (d) the direction of pull
- 5.True or false: a fixed pulley rises with the load. (a) False (b) True
- 6.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 7.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 8.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 9.🪝 A load of 320 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 10.🪝 A load of 560 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 11.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 350 N bucket on the axle, in newtons? (ideal)
- 12.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 13.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 14.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 15.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 16.🪝 A load of 80 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 wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a sharp wedge (c) a flat ramp (d) a loose rope
- 18.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 19.🪝 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)
- 20.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 21.🪝 A pulley system lifts a 900 N load with an effort of 300 N. What is its mechanical advantage (MA)?
- 22.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 23.🪝 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?
- 24.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 25.🪝 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)
- 26.🪝 A pulley system lifts a 140 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 27.🪝 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?
- 28.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 520 N bucket on the axle, in newtons? (ideal)
- 29.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 30.🪝 A pulley system lifts a 780 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 31.🪝 More rope sections holding a load means … (a) less effort needed (b) more effort needed (c) no change (d) the load floats
- 32.🪝 A bucket weighing 30 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 33.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 34.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 35.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 36.🪝 A load of 690 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 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?
- 38.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 630 N bucket on the axle, in newtons? (ideal)
- 39.True or false: a movable pulley stays in one place. (a) True (b) False
- 40.🪝 A pulley system lifts a 240 N load with an effort of 60 N. What is its mechanical advantage (MA)?
Answer key
- 27
- 3
- a fixed pulley
- the direction of pull
- False
- 60
- 30
- 5
- 80
- 140
- 70
- a movable pulley
- 3
- a movable pulley
- a fixed pulley
- 20
- a smaller rod (axle)
- a movable pulley
- 110
- 80
- 3
- False
- 18
- 4
- 180
- 2
- 6
- 130
- 10
- 3
- less effort needed
- 30
- False
- False
- 10
- 230
- 20
- 90
- False
- 4
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