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.True or false: a fixed pulley halves the effort. (a) True (b) False
- 2.🪝 A pulley system lifts a 720 N load with an effort of 180 N. What is its mechanical advantage (MA)?
- 3.True or false: a movable pulley needs effort = load. (a) True (b) False
- 4.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) more effort needed (d) the load floats
- 5.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 6.🪝 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)
- 7.🪝 A load of 480 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 8.True or false: a movable pulley only changes direction. (a) False (b) True
- 9.🪝 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?
- 10.True or false: a fixed pulley stays in one place. (a) True (b) False
- 11.True or false: a movable pulley halves the effort. (a) True (b) False
- 12.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 13.True or false: a fixed pulley only changes direction. (a) True (b) False
- 14.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 15.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a loose rope (d) a flat ramp
- 16.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 560 N bucket on the axle, in newtons? (ideal)
- 18.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 700 N bucket on the axle, in newtons? (ideal)
- 19.🪝 A winch has a wheel of radius 8 cm and an axle of radius 4 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 20.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 21.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 22.🪝 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)
- 23.🪝 A load of 880 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 24.🪝 A bucket weighing 260 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 25.🪝 A pulley system lifts a 920 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 26.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 27.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the colour of rope (d) the direction of pull
- 28.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 29.🪝 A load of 390 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 31.🪝 A load of 840 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 32.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 33.🪝 A bucket weighing 140 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.🪝 A bucket weighing 210 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 35.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 700 N bucket on the axle, in newtons? (ideal)
- 36.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 37.🪝 A bucket weighing 240 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 winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 39.True or false: a movable pulley rises with the load. (a) False (b) True
- 40.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1020 N bucket on the axle, in newtons? (ideal)
Answer key
- False
- 4
- False
- less effort needed
- 4
- 340
- 120
- False
- 4
- True
- True
- a fixed pulley
- True
- 120
- a smaller rod (axle)
- a fixed pulley
- 80
- 100
- 50
- a fixed pulley
- a movable pulley
- 220
- 220
- 260
- 4
- 200
- the direction of pull
- False
- 130
- 12
- 280
- False
- 140
- 210
- 100
- a fixed pulley
- 240
- 60
- True
- 170
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