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.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 2.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 3.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a loose rope (c) a flat ramp (d) a sharp wedge
- 4.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 5.🪝 A pulley system lifts a 520 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 6.🪝 A bucket weighing 200 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 7.True or false: a fixed pulley halves the effort. (a) True (b) False
- 8.🪝 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?
- 9.🪝 A load of 60 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 10.🪝 What does a single fixed pulley change? (a) the direction of pull (b) gravity (c) the size of the load (d) the colour of rope
- 11.🪝 A pulley system lifts a 390 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 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 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 14.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 15.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 16.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A load of 420 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.🪝 A winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 19.🪝 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)
- 20.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 21.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 22.🪝 A pulley system lifts a 200 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 23.True or false: a fixed pulley stays in one place. (a) True (b) False
- 24.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 25.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) the load floats (d) no change
- 26.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 27.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 28.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 29.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 30.True or false: a movable pulley stays in one place. (a) True (b) False
- 31.True or false: a movable pulley rises with the load. (a) False (b) True
- 32.🪝 A load of 440 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 34.🪝 A winch has a wheel of radius 40 cm and an axle of radius 5 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A load of 480 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 A pulley system lifts a 280 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 37.🪝 A bucket weighing 280 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.🪝 A bucket weighing 490 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 winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1120 N bucket on the axle, in newtons? (ideal)
- 40.🪝 A winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 260 N bucket on the axle, in newtons? (ideal)
Answer key
- a fixed pulley
- a fixed pulley
- a smaller rod (axle)
- 30
- 4
- 200
- False
- 4
- 20
- the direction of pull
- 3
- a movable pulley
- 7
- False
- 7
- 30
- 140
- 200
- 190
- 8
- a movable pulley
- 2
- True
- True
- less effort needed
- 3
- a fixed pulley
- 6
- 200
- False
- True
- 110
- a movable pulley
- 50
- 160
- 4
- 280
- 490
- 160
- 130
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