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 bucket weighing 410 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 2.🪝 A bucket weighing 420 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 3.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 4.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 5.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 6.🪝 A load of 680 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 7.🪝 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)
- 8.🪝 A bucket weighing 30 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.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A load of 540 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 11.True or false: a fixed pulley rises with the load. (a) True (b) False
- 12.True or false: a movable pulley needs effort = load. (a) False (b) True
- 13.🪝 A well winch has a handle (wheel) of radius 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 14.🪝 A load of 520 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 What does a single fixed pulley change? (a) the size of the load (b) gravity (c) the direction of pull (d) the colour of rope
- 16.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 17.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a loose rope (c) a sharp wedge (d) a flat ramp
- 18.True or false: a movable pulley halves the effort. (a) True (b) False
- 19.🪝 A pulley system lifts a 380 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 20.🪝 A pulley system lifts a 120 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 21.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 510 N bucket on the axle, in newtons? (ideal)
- 22.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 23.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 24.True or false: a movable pulley stays in one place. (a) False (b) True
- 25.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 26.🪝 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?
- 27.🪝 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?
- 28.🪝 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?
- 29.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 30.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 31.True or false: a fixed pulley halves the effort. (a) False (b) True
- 32.🪝 A pulley system lifts a 60 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 33.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 34.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 35.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 60 N bucket on the axle, in newtons? (ideal)
- 36.🪝 A load of 60 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 A winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 38.🪝 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)
- 39.🪝 A bucket weighing 70 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 40.🪝 A load of 690 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
- 410
- 420
- a fixed pulley
- a movable pulley
- a fixed pulley
- 170
- 210
- 30
- a movable pulley
- 270
- False
- False
- 7
- 130
- the direction of pull
- 8
- a smaller rod (axle)
- True
- 2
- 3
- 170
- True
- a fixed pulley
- False
- False
- 16
- 9
- 27
- 24
- True
- False
- 2
- 3
- 4
- 30
- 30
- 60
- 390
- 70
- 230
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