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 makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 2.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 3.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 4.True or false: a fixed pulley only changes direction. (a) False (b) True
- 5.🪝 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)
- 6.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 950 N bucket on the axle, in newtons? (ideal)
- 7.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 8.🪝 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)
- 9.🪝 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)
- 10.🪝 A bucket weighing 150 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 11.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 12.🪝 A load of 260 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 13.🪝 A pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 14.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 15.🪝 More rope sections holding a load means … (a) no change (b) the load floats (c) less effort needed (d) more effort needed
- 16.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1440 N bucket on the axle, in newtons? (ideal)
- 17.🪝 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)
- 18.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 19.🪝 A pulley system lifts a 90 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 20.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 21.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 22.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 23.🪝 A load of 570 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 24.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 760 N bucket on the axle, in newtons? (ideal)
- 25.🪝 What does a single fixed pulley change? (a) the colour of rope (b) gravity (c) the direction of pull (d) the size of the load
- 26.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 27.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 28.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a loose rope (c) a flat ramp (d) a sharp wedge
- 29.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 30.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 31.🪝 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?
- 32.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 33.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 34.True or false: a movable pulley halves the effort. (a) False (b) True
- 35.🪝 A well winch has a handle (wheel) of radius 30 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 36.🪝 A pulley system lifts a 540 N load with an effort of 180 N. What is its mechanical advantage (MA)?
- 37.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 38.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 39.🪝 A load of 460 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 40.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
Answer key
- a movable pulley
- False
- a movable pulley
- True
- 50
- 190
- True
- 210
- 290
- 150
- 6
- 130
- 4
- a fixed pulley
- less effort needed
- 180
- 20
- a fixed pulley
- 3
- 2
- 2
- 4
- 190
- 190
- the direction of pull
- False
- a movable pulley
- a smaller rod (axle)
- a movable pulley
- 3
- 20
- 4
- 3
- True
- 6
- 3
- 7
- 80
- 230
- True
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