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 bucket weighing 240 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 2.🪝 A bucket weighing 20 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 3.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 4.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 5.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 6.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 7.🪝 A bucket weighing 380 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 8.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 9.🪝 A load of 500 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 10.🪝 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?
- 11.🪝 A load of 440 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 12.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 13.🪝 A pulley system lifts a 160 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 14.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) less effort needed (d) more effort needed
- 15.🪝 A load of 60 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.🪝 A load of 480 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 17.🪝 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
- 18.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 19.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a smaller rod (axle) (c) a sharp wedge (d) a loose rope
- 20.🪝 A load of 840 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 21.🪝 A pulley system lifts a 90 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 22.🪝 A load of 450 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.🪝 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?
- 24.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 25.🪝 A load of 1000 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 26.🪝 A load of 600 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 27.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 28.True or false: a movable pulley rises with the load. (a) False (b) True
- 29.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 30.🪝 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)
- 31.🪝 A bucket weighing 70 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 32.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 760 N bucket on the axle, in newtons? (ideal)
- 33.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 34.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1050 N bucket on the axle, in newtons? (ideal)
- 35.🪝 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)
- 36.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 440 N bucket on the axle, in newtons? (ideal)
- 37.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 38.🪝 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)
- 39.🪝 A load of 180 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 40.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
Answer key
- 240
- 20
- 8
- a movable pulley
- False
- False
- 380
- False
- 250
- 5
- 220
- a fixed pulley
- 2
- less effort needed
- 30
- 120
- the direction of pull
- a fixed pulley
- a smaller rod (axle)
- 210
- 3
- 150
- 32
- 3
- 250
- 200
- 21
- True
- True
- 310
- 70
- 190
- a fixed pulley
- 150
- 250
- 110
- a movable pulley
- 390
- 90
- a movable pulley
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