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 20 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 2.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 3.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 4.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 5.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 510 N bucket on the axle, in newtons? (ideal)
- 6.🪝 A load of 570 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 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
- 8.🪝 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
- 9.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 10.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 11.True or false: a fixed pulley halves the effort. (a) False (b) True
- 12.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 13.🪝 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?
- 14.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 15.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 16.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 18.🪝 A pulley system lifts a 780 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 19.🪝 A bucket weighing 250 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 bucket weighing 500 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.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 22.True or false: a movable pulley halves the effort. (a) False (b) True
- 23.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 24.🪝 A pulley system lifts a 300 N load with an effort of 150 N. What is its mechanical advantage (MA)?
- 25.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 26.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 27.🪝 A pulley system lifts a 480 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 28.🪝 A load of 560 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 A well winch has a handle (wheel) of radius 30 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 30.🪝 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)
- 31.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) less effort needed (d) the load floats
- 32.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 33.🪝 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)
- 34.True or false: a movable pulley needs effort = load. (a) True (b) False
- 35.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 36.🪝 A load of 450 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 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?
- 38.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 39.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 40.True or false: a movable pulley only changes direction. (a) False (b) True
Answer key
- 4
- True
- 40
- a fixed pulley
- 170
- 190
- a smaller rod (axle)
- the direction of pull
- True
- 3
- False
- 80
- 8
- 10
- 150
- a fixed pulley
- 4
- 3
- 250
- 500
- a fixed pulley
- True
- 4
- 2
- 3
- a movable pulley
- 4
- 140
- 6
- 410
- less effort needed
- 180
- 180
- False
- 20
- 150
- 9
- 2
- True
- False
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