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 winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 250 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 3.True or false: a movable pulley stays in one place. (a) True (b) False
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a flat ramp (d) a sharp wedge
- 5.🪝 More rope sections holding a load means … (a) the load floats (b) less effort needed (c) no change (d) more effort needed
- 6.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 7.🪝 A bucket weighing 30 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 well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 9.🪝 A pulley system lifts a 400 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 10.🪝 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)
- 11.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 12.🪝 A bucket weighing 130 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 13.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 14.🪝 A load of 200 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 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
- 16.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 17.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 18.True or false: a fixed pulley only changes direction. (a) True (b) False
- 19.🪝 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?
- 20.True or false: a movable pulley rises with the load. (a) True (b) False
- 21.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 22.🪝 A pulley system lifts a 240 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 23.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 24.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 25.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 350 N bucket on the axle, in newtons? (ideal)
- 26.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 27.🪝 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)
- 28.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 29.🪝 A load of 120 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.🪝 A bucket weighing 390 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.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 32.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 33.🪝 A pulley system lifts a 1000 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 34.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 35.🪝 A load of 500 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 37.🪝 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)
- 38.🪝 A load of 600 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.True or false: a fixed pulley rises with the load. (a) True (b) False
- 40.🪝 A bucket weighing 440 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
Answer key
- 50
- 60
- False
- a smaller rod (axle)
- less effort needed
- 5
- 30
- 5
- 2
- 120
- a movable pulley
- 130
- 150
- 100
- the direction of pull
- 6
- a movable pulley
- True
- 8
- True
- True
- 2
- 24
- a fixed pulley
- 50
- a movable pulley
- 100
- 5
- 60
- 390
- a fixed pulley
- a fixed pulley
- 4
- a fixed pulley
- 250
- 4
- 70
- 300
- False
- 440
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