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.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 2.🪝 A load of 180 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 winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 4.True or false: a movable pulley halves the effort. (a) True (b) False
- 5.True or false: a movable pulley rises with the load. (a) False (b) True
- 6.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 7.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 8.🪝 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)
- 9.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 960 N bucket on the axle, in newtons? (ideal)
- 10.🪝 A pulley system lifts a 480 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 11.🪝 A pulley system lifts a 360 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 12.True or false: a fixed pulley only changes direction. (a) True (b) False
- 13.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 14.🪝 A load of 500 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 A load of 120 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.True or false: a movable pulley needs effort = load. (a) True (b) False
- 17.🪝 A pulley system lifts a 960 N load with an effort of 240 N. What is its mechanical advantage (MA)?
- 18.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 19.🪝 A bucket weighing 400 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.True or false: a fixed pulley stays in one place. (a) True (b) False
- 21.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 22.True or false: a fixed pulley rises with the load. (a) False (b) True
- 23.🪝 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?
- 24.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 25.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 26.🪝 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)
- 27.🪝 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?
- 28.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 29.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 450 N bucket on the axle, in newtons? (ideal)
- 30.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 31.🪝 A pulley system lifts a 210 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 32.🪝 A pulley system lifts a 140 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 33.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 34.True or false: a fixed pulley halves the effort. (a) True (b) False
- 35.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 36.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 37.🪝 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)
- 38.🪝 A bucket weighing 230 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 39.🪝 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)
- 40.🪝 A load of 600 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- less effort needed
- 60
- 80
- True
- True
- 18
- False
- 280
- 160
- 4
- 3
- True
- 160
- 250
- 60
- False
- 4
- a movable pulley
- 400
- True
- True
- False
- 9
- 21
- True
- 20
- 4
- 4
- 150
- 8
- 3
- 2
- False
- False
- a fixed pulley
- a fixed pulley
- 340
- 230
- a smaller rod (axle)
- 150
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