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.
NameDateTime takenScore ___ / 40
- 1.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 340 N bucket on the axle, in newtons? (ideal)
- 2.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 3.🪝 What does a single fixed pulley change? (a) gravity (b) the direction of pull (c) the colour of rope (d) the size of the load
- 4.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 5.🪝 A load of 140 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 6.🪝 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)
- 7.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a flat ramp (d) a loose rope
- 8.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 9.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) more effort needed (d) less effort needed
- 10.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 11.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 12.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 13.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 14.🪝 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)
- 15.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 16.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 17.🪝 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)
- 18.🪝 A well winch has a handle (wheel) of radius 7 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 19.🪝 A pulley system lifts a 240 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 20.🪝 A pulley system lifts a 150 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 21.🪝 A bucket weighing 120 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 22.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 23.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 24.🪝 A winch has a wheel of radius 8 cm and an axle of radius 4 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 25.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 26.🪝 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)
- 27.🪝 A bucket weighing 440 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 28.True or false: a movable pulley rises with the load. (a) False (b) True
- 29.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 350 N bucket on the axle, in newtons? (ideal)
- 30.True or false: a fixed pulley rises with the load. (a) True (b) False
- 31.🪝 A load of 1120 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 32.🪝 A load of 570 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 A load of 480 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 34.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 35.True or false: a movable pulley only changes direction. (a) True (b) False
- 36.🪝 A load of 580 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 load of 560 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 38.🪝 A bucket weighing 170 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.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 40.True or false: a fixed pulley stays in one place. (a) False (b) True
Answer key
- 170
- a movable pulley
- the direction of pull
- 4
- 70
- 40
- a smaller rod (axle)
- 6
- less effort needed
- a movable pulley
- False
- 5
- 4
- 280
- a fixed pulley
- True
- 70
- 7
- 3
- 3
- 120
- 4
- True
- 80
- False
- 100
- 440
- True
- 50
- False
- 280
- 190
- 160
- 3
- False
- 290
- 280
- 170
- a movable pulley
- True
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