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 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
- 2.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 3.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 4.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 5.🪝 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)
- 6.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 7.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a sharp wedge (d) a flat ramp
- 8.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 9.True or false: a fixed pulley rises with the load. (a) True (b) False
- 10.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 11.🪝 A bucket weighing 180 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 12.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 13.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 14.True or false: a movable pulley only changes direction. (a) True (b) False
- 15.True or false: a movable pulley needs effort = load. (a) False (b) True
- 16.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A load of 460 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) the load floats (d) less effort needed
- 19.True or false: a fixed pulley stays in one place. (a) False (b) True
- 20.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 21.🪝 What does a single fixed pulley change? (a) gravity (b) the direction of pull (c) the size of the load (d) the colour of rope
- 22.🪝 A load of 80 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 24.🪝 A load of 540 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 25.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 26.True or false: a fixed pulley only changes direction. (a) False (b) True
- 27.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 28.🪝 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)
- 29.🪝 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)
- 30.🪝 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)
- 31.🪝 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)
- 32.🪝 A bucket weighing 250 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 33.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 34.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 35.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 36.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 37.🪝 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)
- 38.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 39.True or false: a fixed pulley halves the effort. (a) True (b) False
- 40.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
Answer key
- 30
- a movable pulley
- a fixed pulley
- True
- 80
- 7
- a smaller rod (axle)
- a movable pulley
- False
- 3
- 180
- a movable pulley
- 90
- False
- False
- 60
- 230
- less effort needed
- True
- a movable pulley
- the direction of pull
- 40
- a fixed pulley
- 270
- 16
- True
- False
- 80
- 380
- 70
- 220
- 250
- 8
- 3
- True
- True
- 300
- 30
- False
- 12
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