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 wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a smaller rod (axle) (c) a loose rope (d) a sharp wedge
- 2.🪝 A pulley system lifts a 480 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 3.🪝 A winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 4.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) more effort needed (d) less effort needed
- 5.🪝 A bucket weighing 190 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 hangs on the rope loop. (a) True (b) False
- 7.🪝 A pulley system lifts a 380 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 8.🪝 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)
- 9.🪝 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?
- 10.🪝 A pulley system lifts a 40 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 11.🪝 A well winch has a handle (wheel) of radius 7 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 12.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 13.True or false: a fixed pulley rises with the load. (a) False (b) True
- 14.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 15.🪝 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
- 16.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 17.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 18.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 19.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 20.🪝 A load of 40 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 only changes direction? (a) a fixed pulley (b) a movable pulley
- 22.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 23.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 24.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 25.🪝 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)
- 26.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 280 N bucket on the axle, in newtons? (ideal)
- 27.🪝 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)
- 28.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 29.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 30.🪝 A load of 870 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.🪝 A pulley system lifts a 280 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 32.🪝 A load of 200 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 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?
- 34.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 40 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 3 m, how many metres of rope must you pull?
- 36.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 37.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 38.🪝 A load of 400 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 40.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 380 N bucket on the axle, in newtons? (ideal)
Answer key
- a smaller rod (axle)
- 4
- 40
- less effort needed
- 190
- True
- 2
- 40
- 20
- 2
- 7
- 5
- False
- a movable pulley
- the direction of pull
- False
- a movable pulley
- 90
- 16
- 20
- a fixed pulley
- a fixed pulley
- a fixed pulley
- False
- 40
- 40
- 390
- 12
- 3
- 290
- 2
- 100
- 9
- 20
- 9
- a fixed pulley
- 2
- 100
- 12
- 190
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