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 8 cm and an axle of radius 4 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a loose rope (c) a sharp wedge (d) a smaller rod (axle)
- 3.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 4.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 5.🪝 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)
- 6.True or false: a movable pulley needs effort = load. (a) False (b) True
- 7.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 8.True or false: a fixed pulley halves the effort. (a) True (b) False
- 9.🪝 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)
- 10.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 11.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 12.🪝 A pulley system lifts a 600 N load with an effort of 150 N. What is its mechanical advantage (MA)?
- 13.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the colour of rope (d) the direction of pull
- 14.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 15.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) the load floats (d) less effort needed
- 16.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 18.True or false: a fixed pulley only changes direction. (a) False (b) True
- 19.True or false: a movable pulley halves the effort. (a) False (b) True
- 20.🪝 A load of 380 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 21.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 22.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 23.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 24.True or false: a movable pulley rises with the load. (a) False (b) True
- 25.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 26.🪝 A load of 360 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 27.True or false: a fixed pulley rises with the load. (a) True (b) False
- 28.True or false: a movable pulley only changes direction. (a) False (b) True
- 29.🪝 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)
- 30.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 31.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 32.🪝 A bucket weighing 40 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 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 34.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 720 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 36.🪝 A winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 660 N bucket on the axle, in newtons? (ideal)
- 37.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 38.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 39.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 40.🪝 A load of 180 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 40
- a smaller rod (axle)
- 6
- a movable pulley
- 380
- False
- a fixed pulley
- False
- 80
- 180
- 100
- 4
- the direction of pull
- a fixed pulley
- less effort needed
- a movable pulley
- 6
- True
- True
- 190
- a fixed pulley
- 4
- a movable pulley
- True
- 4
- 180
- False
- False
- 80
- False
- True
- 40
- 2
- 180
- 15
- 110
- True
- False
- 5
- 60
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