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 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 2.🪝 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?
- 3.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a smaller rod (axle) (c) a loose rope (d) a sharp wedge
- 4.🪝 A pulley system lifts a 630 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 5.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) no change (d) the load floats
- 6.True or false: a movable pulley stays in one place. (a) False (b) True
- 7.🪝 What does a single fixed pulley change? (a) the colour of rope (b) the direction of pull (c) gravity (d) the size of the load
- 8.🪝 A pulley system lifts a 480 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 9.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A pulley system lifts a 220 N load with an effort of 110 N. What is its mechanical advantage (MA)?
- 11.True or false: a fixed pulley halves the effort. (a) True (b) False
- 12.🪝 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)
- 13.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 14.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 15.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 16.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 17.🪝 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?
- 18.True or false: a fixed pulley stays in one place. (a) False (b) True
- 19.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 20.🪝 A load of 560 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 load of 320 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 23.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 260 N bucket on the axle, in newtons? (ideal)
- 24.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 25.🪝 A pulley system lifts a 1120 N load with an effort of 280 N. What is its mechanical advantage (MA)?
- 26.🪝 A load of 400 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 27.🪝 A pulley system lifts a 180 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 28.🪝 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)
- 29.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 30.🪝 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?
- 31.True or false: a movable pulley needs effort = load. (a) True (b) False
- 32.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 33.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1330 N bucket on the axle, in newtons? (ideal)
- 34.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 35.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 36.🪝 A bucket weighing 160 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 37.🪝 A bucket weighing 330 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 38.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 39.🪝 A bucket weighing 470 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 40.🪝 A load of 400 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
- 2
- 20
- a smaller rod (axle)
- 3
- less effort needed
- False
- the direction of pull
- 4
- a fixed pulley
- 2
- False
- 100
- a fixed pulley
- True
- True
- a movable pulley
- 8
- True
- 8
- 140
- 80
- 3
- 130
- False
- 4
- 100
- 2
- 50
- True
- 9
- False
- a movable pulley
- 190
- a movable pulley
- 8
- 160
- 330
- a fixed pulley
- 470
- 200
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