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 60 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 2.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 3.🪝 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)
- 4.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 5.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 6.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 7.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a loose rope (c) a flat ramp (d) a smaller rod (axle)
- 8.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 9.🪝 What does a single fixed pulley change? (a) the colour of rope (b) the size of the load (c) gravity (d) the direction of pull
- 10.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 11.🪝 A pulley system lifts a 400 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 12.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) less effort needed (d) more effort needed
- 13.🪝 A pulley system lifts a 240 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 14.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 15.🪝 A bucket weighing 380 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 16.🪝 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?
- 17.🪝 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?
- 18.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 19.🪝 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)
- 20.🪝 A winch has a wheel of radius 24 cm and an axle of radius 4 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 21.True or false: a fixed pulley only changes direction. (a) False (b) True
- 22.True or false: a movable pulley only changes direction. (a) False (b) True
- 23.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 24.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 520 N bucket on the axle, in newtons? (ideal)
- 25.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 26.🪝 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)
- 27.🪝 A pulley system lifts a 280 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 28.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 29.🪝 A bucket weighing 350 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 30.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 280 N bucket on the axle, in newtons? (ideal)
- 31.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 32.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 33.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 34.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 35.🪝 A pulley system lifts a 380 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 36.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 37.True or false: a fixed pulley stays in one place. (a) False (b) True
- 38.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 39.🪝 A load of 160 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 40.🪝 A load of 140 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 30
- 2
- 270
- a fixed pulley
- a movable pulley
- 3
- a smaller rod (axle)
- True
- the direction of pull
- True
- 2
- less effort needed
- 4
- 12
- 380
- 14
- 20
- 8
- 20
- 100
- True
- False
- a fixed pulley
- 130
- 3
- 70
- 4
- 15
- 350
- 40
- a movable pulley
- a fixed pulley
- False
- a movable pulley
- 2
- True
- True
- 6
- 80
- 70
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