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.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 2.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the direction of pull (d) the colour of rope
- 3.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 4.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 5.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 6.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 7.🪝 A pulley system lifts a 540 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 8.🪝 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)
- 9.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
- 10.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 11.🪝 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?
- 12.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 13.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 14.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 15.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 16.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 17.🪝 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)
- 18.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 19.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 20.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 21.🪝 A load of 440 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 23.🪝 A load of 140 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) True (b) False
- 25.🪝 A pulley system lifts a 420 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 26.🪝 A pulley system lifts a 240 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 27.🪝 A load of 80 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 28.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 29.True or false: a fixed pulley halves the effort. (a) False (b) True
- 30.🪝 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)
- 31.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 32.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 510 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A bucket weighing 370 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 34.🪝 A pulley system lifts a 920 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 35.🪝 A pulley system lifts a 100 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 36.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 37.🪝 A bucket weighing 290 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 38.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 39.🪝 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)
- 40.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
Answer key
- True
- the direction of pull
- 6
- 100
- a fixed pulley
- 3
- 2
- a smaller rod (axle)
- 20
- 36
- 14
- a movable pulley
- 6
- False
- a movable pulley
- False
- 140
- less effort needed
- 8
- a fixed pulley
- 220
- 4
- 70
- False
- 3
- 2
- 20
- True
- False
- 220
- True
- 170
- 370
- 4
- 2
- 40
- 290
- a movable pulley
- 210
- a fixed pulley
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