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 pulley system has 4 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 2.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a smaller rod (axle) (d) a loose rope
- 3.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) more effort needed (d) the load floats
- 4.🪝 A load of 280 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 5.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 6.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 7.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 8.🪝 A bucket weighing 230 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 9.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 10.🪝 A load of 560 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 11.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 12.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 13.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 14.🪝 A bucket weighing 220 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 15.True or false: a movable pulley stays in one place. (a) False (b) True
- 16.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 260 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 18.🪝 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)
- 19.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 20.🪝 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?
- 21.🪝 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)
- 22.🪝 A pulley system lifts a 680 N load with an effort of 170 N. What is its mechanical advantage (MA)?
- 23.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 24.🪝 A bucket weighing 400 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.True or false: a movable pulley needs effort = load. (a) True (b) False
- 26.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 27.🪝 What does a single fixed pulley change? (a) the size of the load (b) the colour of rope (c) gravity (d) the direction of pull
- 28.🪝 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)
- 29.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 30.🪝 A load of 760 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 32.🪝 A pulley system lifts a 120 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 33.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
- 34.🪝 A load of 780 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 35.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 36.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 37.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 38.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 630 N bucket on the axle, in newtons? (ideal)
- 39.🪝 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?
- 40.True or false: a movable pulley only changes direction. (a) True (b) False
Answer key
- 4
- a smaller rod (axle)
- less effort needed
- 140
- 4
- a movable pulley
- a fixed pulley
- 230
- True
- 140
- 27
- a fixed pulley
- a movable pulley
- 220
- False
- 130
- 60
- 110
- 7
- 2
- 20
- 4
- a movable pulley
- 400
- False
- a fixed pulley
- the direction of pull
- 20
- 5
- 190
- False
- 2
- 50
- 260
- False
- 7
- 2
- 90
- 4
- False
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