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.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 2.🪝 A pulley system lifts an 80 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 3.🪝 More rope sections holding a load means … (a) no change (b) more effort needed (c) less effort needed (d) the load floats
- 4.True or false: a movable pulley needs effort = load. (a) True (b) False
- 5.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the colour of rope (c) the size of the load (d) gravity
- 6.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a flat ramp (c) a loose rope (d) a sharp wedge
- 7.🪝 A pulley system lifts a 960 N load with an effort of 240 N. What is its mechanical advantage (MA)?
- 8.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 9.True or false: a movable pulley stays in one place. (a) True (b) False
- 10.🪝 A well winch has a handle (wheel) of radius 32 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 11.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 12.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 13.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 14.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 15.🪝 A load of 1000 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.🪝 A bucket weighing 270 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.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 18.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 19.True or false: a movable pulley halves the effort. (a) False (b) True
- 20.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 21.🪝 A load of 260 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 A load of 720 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 winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 380 N bucket on the axle, in newtons? (ideal)
- 24.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 25.🪝 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)
- 26.🪝 A bucket weighing 70 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 27.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 28.🪝 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)
- 29.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 30.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 31.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts a 680 N bucket on the axle, in newtons? (ideal)
- 32.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 33.🪝 A pulley system lifts a 280 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 34.🪝 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)
- 35.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 36.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 37.🪝 A well winch has a handle (wheel) of radius 30 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 38.🪝 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?
- 39.🪝 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)
- 40.True or false: a fixed pulley halves the effort. (a) False (b) True
Answer key
- 20
- 2
- less effort needed
- False
- the direction of pull
- a smaller rod (axle)
- 4
- False
- False
- 8
- 50
- 2
- 27
- 4
- 250
- 270
- a fixed pulley
- False
- True
- a movable pulley
- 130
- 180
- 190
- 3
- 430
- 70
- a fixed pulley
- 200
- True
- a movable pulley
- 170
- 3
- 2
- 220
- 2
- False
- 6
- 40
- 230
- False
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