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 well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 2.🪝 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)
- 3.🪝 A load of 870 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 4.🪝 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
- 5.🪝 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?
- 6.🪝 A load of 540 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 7.🪝 A winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 8.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 9.🪝 A bucket weighing 100 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 10.🪝 A pulley system lifts a 460 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 11.🪝 A pulley system lifts a 630 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 12.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 13.🪝 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)
- 14.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 15.🪝 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)
- 16.🪝 A pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 17.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 18.True or false: a movable pulley needs effort = load. (a) True (b) False
- 19.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 270 N bucket on the axle, in newtons? (ideal)
- 20.🪝 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)
- 21.🪝 A bucket weighing 350 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 22.True or false: a fixed pulley rises with the load. (a) True (b) False
- 23.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 24.🪝 A pulley system lifts a 150 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 25.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) less effort needed (d) the load floats
- 26.True or false: a movable pulley halves the effort. (a) True (b) False
- 27.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 28.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 29.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 30.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 31.🪝 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)
- 32.🪝 A load of 150 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 34.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 35.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 36.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 37.🪝 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)
- 38.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 39.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 40.🪝 A pulley system lifts a 330 N load with an effort of 110 N. What is its mechanical advantage (MA)?
Answer key
- 2
- 230
- 290
- the direction of pull
- 4
- 180
- 60
- 7
- 100
- 2
- 3
- a movable pulley
- a smaller rod (axle)
- a movable pulley
- 220
- 4
- True
- False
- 90
- 180
- 350
- False
- a fixed pulley
- 3
- less effort needed
- True
- 1
- 3
- 2
- 8
- 70
- 50
- a fixed pulley
- a movable pulley
- a fixed pulley
- a fixed pulley
- 20
- 6
- 8
- 3
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