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 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 490 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 3.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) no change (d) less effort needed
- 4.🪝 A pulley system lifts a 440 N load with an effort of 110 N. What is its mechanical advantage (MA)?
- 5.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 6.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a flat ramp (c) a sharp wedge (d) a smaller rod (axle)
- 7.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1190 N bucket on the axle, in newtons? (ideal)
- 8.True or false: a fixed pulley stays in one place. (a) True (b) False
- 9.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1440 N bucket on the axle, in newtons? (ideal)
- 11.🪝 A load of 240 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 12.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 13.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 14.🪝 A load of 840 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 A bucket weighing 270 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 16.🪝 A load of 600 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 17.True or false: a movable pulley stays in one place. (a) True (b) False
- 18.True or false: a fixed pulley halves the effort. (a) False (b) True
- 19.True or false: a fixed pulley rises with the load. (a) False (b) True
- 20.🪝 A pulley system lifts a 380 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 21.🪝 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)
- 22.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 23.True or false: a movable pulley needs effort = load. (a) True (b) False
- 24.🪝 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)
- 25.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 26.🪝 A load of 200 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 27.🪝 What does a single fixed pulley change? (a) the direction of pull (b) gravity (c) the colour of rope (d) the size of the load
- 28.🪝 A load of 360 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 30.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 31.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 32.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 33.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 34.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 36.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 37.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 38.True or false: a movable pulley rises with the load. (a) True (b) False
- 39.🪝 A load of 580 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 40.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1600 N bucket on the axle, in newtons? (ideal)
Answer key
- 70
- 21
- less effort needed
- 4
- a movable pulley
- a smaller rod (axle)
- 170
- True
- a fixed pulley
- 180
- 60
- 6
- True
- 210
- 270
- 200
- False
- False
- False
- 2
- 470
- a fixed pulley
- False
- 30
- 4
- 50
- the direction of pull
- 90
- a movable pulley
- 14
- 2
- False
- True
- 60
- 3
- 9
- False
- True
- 290
- 200
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