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 well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 2.🪝 A load of 280 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 load of 360 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 4.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 5.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 6.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 7.🪝 A bucket weighing 340 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 8.🪝 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)
- 9.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 10.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 910 N bucket on the axle, in newtons? (ideal)
- 11.🪝 A load of 960 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 12.True or false: a fixed pulley stays in one place. (a) True (b) False
- 13.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 14.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a loose rope (c) a smaller rod (axle) (d) a sharp wedge
- 15.True or false: a movable pulley rises with the load. (a) True (b) False
- 16.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 17.🪝 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)
- 18.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 19.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 20.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1600 N bucket on the axle, in newtons? (ideal)
- 21.🪝 What does a single fixed pulley change? (a) the size of the load (b) the direction of pull (c) gravity (d) the colour of rope
- 22.True or false: a movable pulley stays in one place. (a) True (b) False
- 23.True or false: a fixed pulley only changes direction. (a) True (b) False
- 24.🪝 A pulley system lifts a 320 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 25.🪝 A pulley system lifts a 40 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 26.🪝 A bucket weighing 140 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 winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 450 N bucket on the axle, in newtons? (ideal)
- 28.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
- 29.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 30.🪝 A bucket weighing 80 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 31.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 32.True or false: a movable pulley halves the effort. (a) True (b) False
- 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 makes you pull 2× rope. (a) False (b) True
- 35.🪝 A load of 660 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 37.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 760 N bucket on the axle, in newtons? (ideal)
- 38.🪝 A pulley system lifts a 500 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 39.🪝 A pulley system lifts a 600 N load with an effort of 300 N. What is its mechanical advantage (MA)?
- 40.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
Answer key
- 4
- 70
- 180
- less effort needed
- a fixed pulley
- a fixed pulley
- 340
- 350
- 6
- 130
- 240
- True
- 10
- a smaller rod (axle)
- True
- a movable pulley
- 120
- 6
- a fixed pulley
- 200
- the direction of pull
- False
- True
- 2
- 2
- 140
- 150
- 20
- a fixed pulley
- 80
- False
- True
- 3
- True
- 220
- a movable pulley
- 190
- 2
- 2
- 5
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