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 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)
- 2.🪝 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)
- 3.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 4.🪝 A load of 300 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 5.🪝 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)
- 6.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 7.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 8.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 9.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 10.🪝 A pulley system lifts a 400 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 11.True or false: a fixed pulley halves the effort. (a) True (b) False
- 12.🪝 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?
- 13.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 630 N bucket on the axle, in newtons? (ideal)
- 14.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 15.🪝 What does a single fixed pulley change? (a) gravity (b) the direction of pull (c) the size of the load (d) the colour of rope
- 16.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a sharp wedge (d) a flat ramp
- 17.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 18.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 19.🪝 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?
- 20.🪝 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)
- 21.🪝 A pulley system lifts a 40 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 22.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) more effort needed (d) less effort needed
- 23.🪝 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)
- 24.🪝 A pulley system lifts a 750 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 25.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 26.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 27.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 28.True or false: a movable pulley stays in one place. (a) True (b) False
- 29.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 30.🪝 A load of 810 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.True or false: a movable pulley rises with the load. (a) False (b) True
- 32.🪝 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?
- 33.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 34.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A load of 40 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 37.🪝 A pulley system lifts a 200 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 38.🪝 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?
- 39.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1440 N bucket on the axle, in newtons? (ideal)
- 40.True or false: a movable pulley needs effort = load. (a) False (b) True
Answer key
- 120
- 50
- a fixed pulley
- 100
- 270
- a movable pulley
- a movable pulley
- 200
- 2
- 2
- False
- 6
- 90
- a movable pulley
- the direction of pull
- a smaller rod (axle)
- False
- 6
- 10
- 20
- 2
- less effort needed
- 70
- 3
- 24
- 8
- 4
- False
- a fixed pulley
- 270
- True
- 9
- True
- 100
- 20
- 50
- 2
- 36
- 180
- False
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