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 fixed pulley makes you pull 2× rope. (a) True (b) False
- 2.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 3.True or false: a fixed pulley only changes direction. (a) True (b) False
- 4.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 5.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 6.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 7.🪝 A winch has a wheel of radius 8 cm and an axle of radius 4 cm. What effort on the wheel lifts a 140 N bucket on the axle, in newtons? (ideal)
- 8.True or false: a movable pulley halves the effort. (a) True (b) False
- 9.🪝 A pulley system lifts a 540 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 10.🪝 A load of 280 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 6 m, how many metres of rope must you pull?
- 12.True or false: a movable pulley needs effort = load. (a) False (b) True
- 13.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1600 N bucket on the axle, in newtons? (ideal)
- 14.🪝 A well winch has a handle (wheel) of radius 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 15.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a sharp wedge (c) a smaller rod (axle) (d) a flat ramp
- 16.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts a 320 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 900 N bucket on the axle, in newtons? (ideal)
- 18.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 560 N bucket on the axle, in newtons? (ideal)
- 19.🪝 A pulley system lifts a 720 N load with an effort of 240 N. What is its mechanical advantage (MA)?
- 20.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 21.🪝 A winch has a wheel of radius 24 cm and an axle of radius 4 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 22.🪝 A pulley system lifts a 180 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 23.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) the load floats (d) less effort needed
- 24.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 25.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 26.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 27.🪝 A pulley system lifts a 200 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 28.🪝 A bucket weighing 360 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 29.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 30.🪝 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)
- 31.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 32.🪝 A load of 600 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.True or false: a fixed pulley stays in one place. (a) False (b) True
- 34.🪝 A load of 520 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 35.🪝 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?
- 36.🪝 A bucket weighing 180 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 37.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 38.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 39.🪝 A load of 630 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 40.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 570 N bucket on the axle, in newtons? (ideal)
Answer key
- False
- False
- True
- a movable pulley
- a fixed pulley
- True
- 70
- True
- 2
- 70
- 18
- False
- 200
- 7
- a smaller rod (axle)
- 80
- 180
- 80
- 3
- a fixed pulley
- 20
- 2
- less effort needed
- 5
- a movable pulley
- a fixed pulley
- 4
- 360
- 8
- 70
- 6
- 150
- True
- 260
- 14
- 180
- 30
- False
- 210
- 190
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