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 only changes direction. (a) False (b) True
- 2.🪝 A load of 280 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the colour of rope (c) gravity (d) the size of the load
- 4.True or false: a movable pulley stays in one place. (a) True (b) False
- 5.🪝 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)
- 6.🪝 A load of 240 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 7.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 8.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 9.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 10.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 11.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 12.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 13.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 14.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 60 N bucket on the axle, in newtons? (ideal)
- 15.🪝 A pulley system lifts an 840 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 16.🪝 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)
- 17.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 18.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) the load floats (d) less effort needed
- 19.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 20.True or false: a fixed pulley halves the effort. (a) True (b) False
- 21.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 22.True or false: a movable pulley halves the effort. (a) True (b) False
- 23.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 24.True or false: a movable pulley needs effort = load. (a) True (b) False
- 25.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 540 N bucket on the axle, in newtons? (ideal)
- 26.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 27.🪝 A pulley system lifts a 510 N load with an effort of 170 N. What is its mechanical advantage (MA)?
- 28.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 29.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 30.🪝 A load of 750 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.🪝 A bucket weighing 360 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 well winch has a handle (wheel) of radius 32 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 33.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts an 880 N bucket on the axle, in newtons? (ideal)
- 34.🪝 A bucket weighing 100 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.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 36.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 37.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 38.🪝 A bucket weighing 40 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 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)
- 40.🪝 A load of 340 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- True
- 70
- the direction of pull
- False
- 230
- 120
- a fixed pulley
- a movable pulley
- a fixed pulley
- True
- 4
- a movable pulley
- a fixed pulley
- 30
- 4
- 460
- 60
- less effort needed
- 40
- False
- 30
- True
- True
- False
- 180
- a movable pulley
- 3
- a movable pulley
- 20
- 250
- 360
- 8
- 110
- 100
- False
- 6
- 3
- 40
- 60
- 170
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