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 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A bucket weighing 350 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 3.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 270 N bucket on the axle, in newtons? (ideal)
- 4.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 5.🪝 A load of 160 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 6.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 7.True or false: a fixed pulley rises with the load. (a) False (b) True
- 8.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 9.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 10.True or false: a movable pulley needs effort = load. (a) True (b) False
- 11.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 12.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 13.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 14.🪝 More rope sections holding a load means … (a) no change (b) the load floats (c) less effort needed (d) more effort needed
- 15.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 16.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A load of 1200 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1520 N bucket on the axle, in newtons? (ideal)
- 19.🪝 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)
- 20.🪝 A load of 330 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 1 rope section holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 22.🪝 A load of 320 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.🪝 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)
- 24.True or false: a movable pulley stays in one place. (a) False (b) True
- 25.True or false: a movable pulley rises with the load. (a) False (b) True
- 26.🪝 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)
- 27.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 28.🪝 A well winch has a handle (wheel) of radius 32 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 29.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 330 N bucket on the axle, in newtons? (ideal)
- 30.🪝 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
- 31.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 32.🪝 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
- 33.🪝 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)
- 34.🪝 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)
- 35.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 36.True or false: a fixed pulley halves the effort. (a) True (b) False
- 37.True or false: a movable pulley halves the effort. (a) False (b) True
- 38.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 39.🪝 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)
- 40.🪝 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?
Answer key
- 90
- 350
- 90
- a fixed pulley
- 40
- a fixed pulley
- False
- 2
- a movable pulley
- False
- 100
- 30
- 2
- less effort needed
- False
- 60
- 300
- 190
- 390
- 110
- 9
- 160
- 290
- False
- True
- 130
- a fixed pulley
- 8
- 110
- a smaller rod (axle)
- 8
- the direction of pull
- 100
- 20
- 8
- False
- True
- a movable pulley
- 160
- 21
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