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.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 2.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 3.🪝 A winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 250 N bucket on the axle, in newtons? (ideal)
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a sharp wedge (d) a flat ramp
- 5.🪝 A bucket weighing 350 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 6.🪝 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)
- 7.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 8.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 9.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A bucket weighing 430 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 11.🪝 A load of 580 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 12.🪝 A pulley system lifts a 180 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 13.🪝 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?
- 14.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 15.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 16.True or false: a fixed pulley only changes direction. (a) False (b) True
- 17.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 18.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 19.🪝 A load of 280 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 20.🪝 A load of 800 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 21.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 22.🪝 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)
- 23.🪝 A load of 220 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 24.🪝 More rope sections holding a load means … (a) no change (b) more effort needed (c) less effort needed (d) the load floats
- 25.🪝 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)
- 26.True or false: a movable pulley needs effort = load. (a) False (b) True
- 27.🪝 What does a single fixed pulley change? (a) gravity (b) the direction of pull (c) the colour of rope (d) the size of the load
- 28.🪝 A load of 1080 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 30.🪝 A bucket weighing 120 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.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 32.🪝 A pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 33.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 34.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 35.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 36.True or false: a movable pulley only changes direction. (a) True (b) False
- 37.True or false: a fixed pulley halves the effort. (a) True (b) False
- 38.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 39.🪝 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)
- 40.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
Answer key
- a fixed pulley
- 30
- 50
- a smaller rod (axle)
- 350
- 460
- a fixed pulley
- 120
- a movable pulley
- 430
- 290
- 3
- 12
- False
- a movable pulley
- True
- a movable pulley
- 1
- 140
- 200
- True
- 60
- 110
- less effort needed
- 440
- False
- the direction of pull
- 270
- False
- 120
- a fixed pulley
- 4
- False
- a fixed pulley
- 70
- False
- False
- 5
- 190
- 40
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