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 stays in one place? (a) a movable pulley (b) a fixed pulley
- 2.🪝 A load of 200 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a sharp wedge (c) a loose rope (d) a flat ramp
- 5.🪝 A bucket weighing 120 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 6.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the size of the load (c) gravity (d) the colour of rope
- 7.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 8.🪝 A load of 150 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 9.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 11.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 12.🪝 A load of 380 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 160 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 14.True or false: a movable pulley halves the effort. (a) False (b) True
- 15.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) the load floats (d) no change
- 16.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 17.🪝 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?
- 18.🪝 A load of 120 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 20.🪝 A pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 21.🪝 A bucket weighing 230 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 22.🪝 A pulley system lifts a 200 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 23.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 24.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts an 850 N bucket on the axle, in newtons? (ideal)
- 25.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 900 N bucket on the axle, in newtons? (ideal)
- 26.True or false: a fixed pulley halves the effort. (a) True (b) False
- 27.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 28.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 29.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 30.🪝 A pulley system lifts a 400 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 31.🪝 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)
- 32.🪝 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)
- 33.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1440 N bucket on the axle, in newtons? (ideal)
- 34.🪝 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?
- 35.True or false: a fixed pulley only changes direction. (a) True (b) False
- 36.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts an 880 N bucket on the axle, in newtons? (ideal)
- 37.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 38.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 39.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 40.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
Answer key
- a fixed pulley
- 50
- 40
- a smaller rod (axle)
- 120
- the direction of pull
- a movable pulley
- 50
- a movable pulley
- 4
- 6
- 190
- 2
- True
- less effort needed
- 8
- 24
- 30
- 60
- 4
- 230
- 2
- a fixed pulley
- 170
- 150
- False
- 4
- True
- 4
- 4
- 20
- 240
- 180
- 5
- True
- 110
- False
- True
- a fixed pulley
- False
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