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 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 2.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 3.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 4.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 5.🪝 What does a single fixed pulley change? (a) the direction of pull (b) gravity (c) the colour of rope (d) the size of the load
- 6.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 7.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 8.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 9.🪝 A load of 240 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 10.True or false: a fixed pulley stays in one place. (a) True (b) False
- 11.🪝 A bucket weighing 440 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 12.🪝 A bucket weighing 130 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 13.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 14.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 15.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 16.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 17.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 18.🪝 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)
- 19.🪝 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)
- 20.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 21.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 22.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 23.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 24.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a smaller rod (axle) (d) a loose rope
- 25.🪝 A pulley system lifts a 1200 N load with an effort of 300 N. What is its mechanical advantage (MA)?
- 26.🪝 A pulley system lifts an 840 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 27.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) more effort needed (d) less effort needed
- 28.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 29.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 30.🪝 A bucket weighing 460 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.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 32.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 33.True or false: a movable pulley stays in one place. (a) True (b) False
- 34.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 35.🪝 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)
- 36.🪝 A pulley system lifts a 160 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 37.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 38.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1260 N bucket on the axle, in newtons? (ideal)
- 39.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 40.🪝 A pulley system lifts a 690 N load with an effort of 230 N. What is its mechanical advantage (MA)?
Answer key
- 5
- False
- 4
- 6
- the direction of pull
- a fixed pulley
- a movable pulley
- a fixed pulley
- 60
- True
- 440
- 130
- 3
- True
- 5
- a movable pulley
- 6
- 140
- 20
- a movable pulley
- False
- 100
- 3
- a smaller rod (axle)
- 4
- 4
- less effort needed
- a fixed pulley
- 12
- 460
- 3
- False
- False
- 6
- 20
- 4
- 3
- 180
- 60
- 3
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