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 winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 390 N bucket on the axle, in newtons? (ideal)
- 2.True or false: a movable pulley only changes direction. (a) True (b) False
- 3.🪝 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?
- 4.🪝 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)
- 5.🪝 More rope sections holding a load means … (a) less effort needed (b) no change (c) the load floats (d) more effort needed
- 6.True or false: a movable pulley rises with the load. (a) True (b) False
- 7.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 8.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 9.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 10.True or false: a movable pulley halves the effort. (a) False (b) True
- 11.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 12.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 13.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a loose rope (c) a smaller rod (axle) (d) a flat ramp
- 14.🪝 A well winch has a handle (wheel) of radius 40 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 15.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 16.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 17.🪝 A bucket weighing 400 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 winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 260 N bucket on the axle, in newtons? (ideal)
- 19.🪝 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)
- 20.🪝 A load of 420 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 21.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 22.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 23.🪝 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)
- 24.🪝 What does a single fixed pulley change? (a) the size of the load (b) the direction of pull (c) the colour of rope (d) gravity
- 25.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1050 N bucket on the axle, in newtons? (ideal)
- 26.True or false: a fixed pulley rises with the load. (a) True (b) False
- 27.🪝 A pulley system lifts an 80 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 28.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 29.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 30.🪝 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)
- 31.🪝 A winch has a wheel of radius 40 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1520 N bucket on the axle, in newtons? (ideal)
- 32.🪝 A load of 80 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 A load of 270 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 34.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 35.🪝 A pulley system lifts a 690 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 36.🪝 A bucket weighing 410 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 37.🪝 A bucket weighing 180 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 38.🪝 A bucket weighing 280 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.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 40.🪝 A pulley system lifts a 40 N load with an effort of 20 N. What is its mechanical advantage (MA)?
Answer key
- 130
- False
- 4
- 290
- less effort needed
- True
- False
- a movable pulley
- 4
- True
- a movable pulley
- a fixed pulley
- a smaller rod (axle)
- 8
- False
- 4
- 400
- 130
- 480
- 140
- 10
- 160
- 170
- the direction of pull
- 150
- False
- 2
- 5
- 6
- 100
- 190
- 20
- 90
- True
- 3
- 410
- 180
- 280
- 3
- 2
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