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 2 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 2.🪝 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)
- 3.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 40 N bucket on the axle, in newtons? (ideal)
- 4.True or false: a movable pulley needs effort = load. (a) False (b) True
- 5.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a flat ramp (c) a smaller rod (axle) (d) a loose rope
- 6.🪝 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)
- 7.🪝 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?
- 8.🪝 A bucket weighing 330 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 9.🪝 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?
- 10.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 11.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 12.🪝 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
- 13.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 14.🪝 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)
- 15.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 16.🪝 A pulley system lifts a 900 N load with an effort of 300 N. What is its mechanical advantage (MA)?
- 17.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 18.🪝 A pulley system lifts a 640 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 19.🪝 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)
- 20.🪝 More rope sections holding a load means … (a) more effort needed (b) the load floats (c) no change (d) less effort needed
- 21.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 22.True or false: a movable pulley only changes direction. (a) False (b) True
- 23.True or false: a movable pulley halves the effort. (a) False (b) True
- 24.🪝 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)
- 25.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 26.🪝 A well winch has a handle (wheel) of radius 7 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 27.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 28.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 29.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 30.🪝 A pulley system lifts an 810 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 31.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 32.🪝 A bucket weighing 60 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.🪝 A pulley system lifts a 450 N load with an effort of 150 N. What is its mechanical advantage (MA)?
- 34.🪝 A bucket weighing 280 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.🪝 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)
- 36.🪝 A load of 510 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 winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 38.True or false: a fixed pulley halves the effort. (a) True (b) False
- 39.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 40.🪝 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?
Answer key
- 8
- 30
- 20
- False
- a smaller rod (axle)
- 370
- 20
- 330
- 6
- a fixed pulley
- a fixed pulley
- the direction of pull
- False
- 420
- a movable pulley
- 3
- 70
- 4
- 210
- less effort needed
- a movable pulley
- False
- True
- 20
- 14
- 7
- 60
- 8
- 9
- 3
- a movable pulley
- 60
- 3
- 280
- 140
- 170
- 90
- False
- a movable pulley
- 20
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