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 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1050 N bucket on the axle, in newtons? (ideal)
- 2.🪝 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?
- 3.🪝 A pulley system lifts a 780 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a flat ramp (c) a loose rope (d) a smaller rod (axle)
- 5.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 6.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 7.🪝 A load of 440 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 8.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 9.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 11.True or false: a fixed pulley stays in one place. (a) True (b) False
- 12.🪝 A pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 13.True or false: a movable pulley only changes direction. (a) True (b) False
- 14.🪝 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
- 15.True or false: a movable pulley rises with the load. (a) False (b) True
- 16.🪝 A pulley system lifts a 570 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 17.🪝 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)
- 18.True or false: a movable pulley needs effort = load. (a) True (b) False
- 19.🪝 A bucket weighing 60 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 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)
- 21.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 22.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 23.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) less effort needed (d) more effort needed
- 24.🪝 A pulley system lifts a 100 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 25.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1140 N bucket on the axle, in newtons? (ideal)
- 26.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 27.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 28.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 29.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 30.🪝 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?
- 31.🪝 A load of 920 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 32.🪝 A load of 1040 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 A pulley system has 4 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 fixed pulley makes you pull 2× rope. (a) True (b) False
- 35.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 36.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 37.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 38.🪝 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?
- 39.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 40.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
Answer key
- 150
- 5
- 3
- a smaller rod (axle)
- 60
- a movable pulley
- 220
- a fixed pulley
- a fixed pulley
- 3
- True
- 4
- False
- the direction of pull
- True
- 3
- 20
- False
- 60
- 100
- 32
- 7
- less effort needed
- 2
- 190
- a fixed pulley
- True
- False
- 20
- 8
- 230
- 260
- 4
- False
- 7
- a movable pulley
- 20
- 4
- 2
- a fixed pulley
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