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.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 2.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 3.🪝 A load of 210 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 4.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 5.🪝 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)
- 6.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 7.🪝 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?
- 8.True or false: a movable pulley needs effort = load. (a) False (b) True
- 9.🪝 What does a single fixed pulley change? (a) the direction of pull (b) gravity (c) the size of the load (d) the colour of rope
- 10.True or false: a fixed pulley rises with the load. (a) False (b) True
- 11.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 12.🪝 A pulley system lifts a 180 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 13.True or false: a fixed pulley halves the effort. (a) False (b) True
- 14.🪝 A load of 100 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 A pulley system lifts a 420 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 16.🪝 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)
- 17.True or false: a movable pulley stays in one place. (a) False (b) True
- 18.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 660 N bucket on the axle, in newtons? (ideal)
- 19.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a flat ramp (c) a sharp wedge (d) a smaller rod (axle)
- 20.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 21.🪝 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)
- 22.🪝 A load of 900 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 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)
- 24.🪝 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)
- 25.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 490 N bucket on the axle, in newtons? (ideal)
- 26.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) less effort needed (d) no change
- 27.True or false: a movable pulley only changes direction. (a) True (b) False
- 28.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 29.🪝 A load of 630 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.🪝 A pulley system lifts a 920 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 31.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1260 N bucket on the axle, in newtons? (ideal)
- 32.🪝 A winch has a wheel of radius 24 cm and an axle of radius 4 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 34.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 35.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1120 N bucket on the axle, in newtons? (ideal)
- 36.🪝 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)
- 37.🪝 A pulley system lifts a 510 N load with an effort of 170 N. What is its mechanical advantage (MA)?
- 38.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 910 N bucket on the axle, in newtons? (ideal)
- 39.🪝 A pulley system lifts a 360 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 40.🪝 A winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
Answer key
- a movable pulley
- 6
- 70
- True
- 20
- a fixed pulley
- 24
- False
- the direction of pull
- False
- a movable pulley
- 3
- False
- 50
- 3
- 200
- False
- 110
- a smaller rod (axle)
- a fixed pulley
- 40
- 300
- 260
- 250
- 70
- less effort needed
- False
- True
- 210
- 4
- 180
- 20
- 50
- a fixed pulley
- 160
- 280
- 3
- 130
- 4
- 150
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