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 3 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 2.🪝 A load of 210 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 4.🪝 What does a single fixed pulley change? (a) the size of the load (b) the colour of rope (c) gravity (d) the direction of pull
- 5.🪝 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)
- 6.🪝 A well winch has a handle (wheel) of radius 30 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 7.🪝 A load of 520 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 8.True or false: a movable pulley needs effort = load. (a) True (b) False
- 9.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 10.True or false: a movable pulley halves the effort. (a) True (b) False
- 11.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 12.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 13.🪝 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)
- 14.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 640 N bucket on the axle, in newtons? (ideal)
- 15.True or false: a fixed pulley halves the effort. (a) True (b) False
- 16.True or false: a movable pulley only changes direction. (a) True (b) False
- 17.🪝 A pulley system lifts a 330 N load with an effort of 110 N. What is its mechanical advantage (MA)?
- 18.🪝 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)
- 19.True or false: a fixed pulley rises with the load. (a) False (b) True
- 20.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 21.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 22.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 650 N bucket on the axle, in newtons? (ideal)
- 23.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 24.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 25.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 280 N bucket on the axle, in newtons? (ideal)
- 26.🪝 More rope sections holding a load means … (a) less effort needed (b) no change (c) the load floats (d) more effort needed
- 27.🪝 A pulley system lifts a 570 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 28.🪝 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
- 29.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 30.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 31.True or false: a fixed pulley stays in one place. (a) False (b) True
- 32.🪝 A load of 200 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 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)
- 34.🪝 A pulley system lifts a 510 N load with an effort of 170 N. What is its mechanical advantage (MA)?
- 35.🪝 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?
- 36.🪝 A pulley system lifts a 200 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 37.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 38.🪝 A load of 540 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 40.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
Answer key
- 6
- 70
- 4
- the direction of pull
- 280
- 6
- 260
- False
- a fixed pulley
- True
- 40
- 100
- 80
- 160
- False
- False
- 3
- 360
- False
- a movable pulley
- a fixed pulley
- 130
- a fixed pulley
- 10
- 40
- less effort needed
- 3
- a smaller rod (axle)
- False
- 6
- True
- 100
- 390
- 3
- 8
- 2
- False
- 270
- True
- 5
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