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 130 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.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 3.🪝 A bucket weighing 140 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.🪝 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
- 5.True or false: a movable pulley stays in one place. (a) False (b) True
- 6.True or false: a fixed pulley stays in one place. (a) True (b) False
- 7.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 8.🪝 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?
- 9.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 10.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 11.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 12.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 13.🪝 What does a single fixed pulley change? (a) the direction of pull (b) gravity (c) the colour of rope (d) the size of the load
- 14.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 15.True or false: a movable pulley only changes direction. (a) True (b) False
- 16.True or false: a fixed pulley halves the effort. (a) False (b) True
- 17.🪝 More rope sections holding a load means … (a) more effort needed (b) the load floats (c) no change (d) less effort needed
- 18.🪝 A load of 520 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 20.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1080 N bucket on the axle, in newtons? (ideal)
- 21.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 22.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 23.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 24.🪝 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)
- 25.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 750 N bucket on the axle, in newtons? (ideal)
- 26.🪝 A load of 840 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 27.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 28.🪝 A load of 600 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 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)
- 30.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 31.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 32.🪝 A well winch has a handle (wheel) of radius 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 33.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 34.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 35.🪝 A pulley system lifts a 380 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 36.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 37.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 38.🪝 A load of 760 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.🪝 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)
- 40.🪝 A pulley system lifts a 440 N load with an effort of 220 N. What is its mechanical advantage (MA)?
Answer key
- 130
- False
- 140
- a smaller rod (axle)
- False
- True
- a fixed pulley
- 5
- 50
- 18
- 4
- a movable pulley
- the direction of pull
- 8
- False
- False
- less effort needed
- 130
- a fixed pulley
- 180
- False
- a fixed pulley
- True
- 280
- 150
- 210
- 4
- 200
- 70
- 6
- 3
- 7
- 5
- 7
- 2
- 24
- 2
- 190
- 160
- 2
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