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 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)
- 2.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 3.🪝 A bucket weighing 490 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 4.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 5.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a loose rope (d) a smaller rod (axle)
- 6.🪝 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)
- 7.🪝 What does a single fixed pulley change? (a) the size of the load (b) gravity (c) the colour of rope (d) the direction of pull
- 8.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 9.🪝 A bucket weighing 190 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 bucket weighing 200 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.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 12.🪝 A bucket weighing 480 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.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 15.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 16.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 17.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1050 N bucket on the axle, in newtons? (ideal)
- 18.True or false: a movable pulley needs effort = load. (a) False (b) True
- 19.🪝 More rope sections holding a load means … (a) less effort needed (b) no change (c) the load floats (d) more effort needed
- 20.🪝 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)
- 21.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 22.🪝 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)
- 23.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 24.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 25.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 26.True or false: a movable pulley stays in one place. (a) False (b) True
- 27.True or false: a fixed pulley halves the effort. (a) False (b) True
- 28.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 29.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 30.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 540 N bucket on the axle, in newtons? (ideal)
- 31.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 32.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 33.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1190 N bucket on the axle, in newtons? (ideal)
- 34.🪝 A load of 480 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 35.True or false: a movable pulley rises with the load. (a) True (b) False
- 36.🪝 A load of 500 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 900 N bucket on the axle, in newtons? (ideal)
- 38.🪝 A load of 380 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 40.🪝 A winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
Answer key
- 470
- 120
- 490
- a movable pulley
- a smaller rod (axle)
- 40
- the direction of pull
- a fixed pulley
- 190
- 200
- a movable pulley
- 480
- 7
- False
- 6
- False
- 150
- False
- less effort needed
- 100
- 5
- 260
- 12
- 20
- True
- False
- False
- True
- False
- 90
- a movable pulley
- a fixed pulley
- 170
- 120
- True
- 250
- 150
- 190
- a movable pulley
- 50
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