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.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the colour of rope (c) the size of the load (d) gravity
- 2.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 3.🪝 A load of 480 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 4.🪝 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)
- 5.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 6.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 7.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a sharp wedge (c) a flat ramp (d) a smaller rod (axle)
- 8.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
- 9.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 10.🪝 A pulley system lifts a 720 N load with an effort of 240 N. What is its mechanical advantage (MA)?
- 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 only changes direction. (a) True (b) False
- 13.True or false: a movable pulley halves the effort. (a) True (b) False
- 14.🪝 A bucket weighing 270 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.🪝 A load of 580 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 17.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) less effort needed (d) the load floats
- 18.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 19.🪝 A bucket weighing 80 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 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)
- 21.🪝 A load of 800 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 23.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 950 N bucket on the axle, in newtons? (ideal)
- 24.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 25.True or false: a fixed pulley halves the effort. (a) False (b) True
- 26.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 27.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 28.🪝 A pulley system lifts a 180 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 29.True or false: a fixed pulley stays in one place. (a) True (b) False
- 30.🪝 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?
- 31.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 32.🪝 A pulley system lifts a 640 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 33.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 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 pulley system lifts a 210 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 36.🪝 A load of 380 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 load of 320 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 38.🪝 A load of 600 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 40.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
Answer key
- the direction of pull
- 7
- 120
- 20
- 6
- 3
- a smaller rod (axle)
- 50
- a fixed pulley
- 3
- 18
- False
- True
- 270
- 290
- 5
- less effort needed
- a fixed pulley
- 80
- 70
- 200
- a movable pulley
- 190
- True
- False
- 9
- 2
- 2
- True
- 4
- a fixed pulley
- 4
- False
- 4
- 3
- 190
- 160
- 200
- a movable pulley
- True
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