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 lifts an 880 N load with an effort of 220 N. What is its mechanical advantage (MA)?
- 2.🪝 A load of 540 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 bucket weighing 320 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.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 720 N bucket on the axle, in newtons? (ideal)
- 5.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 6.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 7.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 8.🪝 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?
- 9.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 60 N bucket on the axle, in newtons? (ideal)
- 10.🪝 A load of 200 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 11.True or false: a movable pulley rises with the load. (a) True (b) False
- 12.🪝 A bucket weighing 100 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 13.🪝 What does a single fixed pulley change? (a) the size of the load (b) the direction of pull (c) the colour of rope (d) gravity
- 14.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 15.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 16.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 17.🪝 A load of 420 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.🪝 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
- 19.🪝 A pulley system lifts a 580 N load with an effort of 290 N. What is its mechanical advantage (MA)?
- 20.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 21.🪝 A bucket weighing 310 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 22.🪝 A load of 580 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.True or false: a fixed pulley stays in one place. (a) False (b) True
- 24.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) less effort needed (d) more effort needed
- 25.🪝 A pulley system lifts a 140 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 26.🪝 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?
- 27.True or false: a movable pulley stays in one place. (a) False (b) True
- 28.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 29.🪝 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?
- 30.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 31.True or false: a fixed pulley only changes direction. (a) True (b) False
- 32.True or false: a fixed pulley rises with the load. (a) True (b) False
- 33.🪝 A load of 1080 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 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.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 36.🪝 A load of 220 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 A load of 960 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 38.🪝 A pulley system lifts an 840 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 39.🪝 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)
- 40.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
Answer key
- 4
- 270
- 320
- 180
- a fixed pulley
- False
- True
- 24
- 30
- 50
- True
- 100
- the direction of pull
- 3
- 6
- a movable pulley
- 210
- a smaller rod (axle)
- 2
- a movable pulley
- 310
- 290
- True
- less effort needed
- 2
- 18
- False
- a fixed pulley
- 36
- 3
- True
- False
- 270
- 260
- a movable pulley
- 110
- 240
- 4
- 390
- 9
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