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 2 cm. What is its mechanical advantage (MA)?
- 2.🪝 A pulley system lifts a 40 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 3.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1190 N bucket on the axle, in newtons? (ideal)
- 4.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 950 N bucket on the axle, in newtons? (ideal)
- 5.🪝 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)
- 6.🪝 A pulley system lifts a 500 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 7.🪝 A pulley system lifts a 600 N load with an effort of 300 N. What is its mechanical advantage (MA)?
- 8.🪝 A well winch has a handle (wheel) of radius 30 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 9.🪝 A bucket weighing 320 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.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 11.🪝 A pulley system lifts an 870 N load with an effort of 290 N. What is its mechanical advantage (MA)?
- 12.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 13.🪝 A load of 60 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 14.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 15.🪝 A load of 240 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.🪝 More rope sections holding a load means … (a) no change (b) more effort needed (c) the load floats (d) less effort needed
- 17.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 18.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 19.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 20.🪝 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?
- 21.🪝 A pulley system lifts an 840 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 22.🪝 A pulley system lifts a 920 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 23.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 24.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 25.True or false: a movable pulley needs effort = load. (a) False (b) True
- 26.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 27.🪝 A bucket weighing 340 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 28.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 29.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
- 30.True or false: a movable pulley stays in one place. (a) True (b) False
- 31.🪝 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)
- 32.🪝 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?
- 33.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 34.🪝 A load of 780 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 35.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 36.🪝 A load of 600 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 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 load of 400 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts an 840 N bucket on the axle, in newtons? (ideal)
- 40.True or false: a fixed pulley stays in one place. (a) True (b) False
Answer key
- 5
- 2
- 170
- 190
- a smaller rod (axle)
- 2
- 2
- 6
- 320
- a fixed pulley
- 3
- 6
- 30
- a movable pulley
- 80
- less effort needed
- a fixed pulley
- a fixed pulley
- 2
- 4
- 4
- 4
- 3
- True
- False
- 6
- 340
- 80
- 50
- False
- 80
- 2
- a movable pulley
- 260
- a movable pulley
- 300
- 280
- 100
- 120
- True
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