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.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the size of the load (c) the colour of rope (d) gravity
- 2.True or false: a movable pulley needs effort = load. (a) True (b) False
- 3.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a loose rope (c) a sharp wedge (d) a flat ramp
- 5.🪝 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)
- 6.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 7.True or false: a fixed pulley halves the effort. (a) True (b) False
- 8.🪝 A pulley system lifts a 320 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 9.🪝 A bucket weighing 50 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.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 11.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 12.🪝 A bucket weighing 60 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 13.🪝 A well winch has a handle (wheel) of radius 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 14.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 15.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 16.🪝 A pulley system lifts a 270 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 17.🪝 A bucket weighing 470 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 18.🪝 A load of 400 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) less effort needed (d) no change
- 20.True or false: a movable pulley halves the effort. (a) True (b) False
- 21.🪝 A pulley system lifts a 120 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 22.🪝 A bucket weighing 390 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 23.🪝 A pulley system lifts a 570 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 24.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 25.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 26.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 27.🪝 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?
- 28.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 29.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 30.True or false: a movable pulley only changes direction. (a) True (b) False
- 31.🪝 A pulley system lifts a 640 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 32.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 33.🪝 A well winch has a handle (wheel) of radius 32 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 34.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts an 880 N bucket on the axle, in newtons? (ideal)
- 35.True or false: a movable pulley stays in one place. (a) True (b) False
- 36.🪝 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)
- 37.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 38.🪝 A pulley system lifts a 400 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 39.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 40.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
Answer key
- the direction of pull
- False
- a fixed pulley
- a smaller rod (axle)
- 30
- True
- False
- 4
- 50
- 3
- 5
- 60
- 7
- a movable pulley
- a movable pulley
- 3
- 470
- 200
- less effort needed
- True
- 3
- 390
- 3
- 80
- 4
- 2
- 40
- 16
- False
- False
- 4
- 28
- 8
- 110
- False
- 60
- 8
- 2
- 3
- 80
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