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 1 rope section holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 2.True or false: a movable pulley only changes direction. (a) False (b) True
- 3.🪝 A winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 4.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 5.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 6.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 7.🪝 A pulley system lifts a 680 N load with an effort of 170 N. What is its mechanical advantage (MA)?
- 8.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 9.🪝 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)
- 10.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) no change (d) the load floats
- 11.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 450 N bucket on the axle, in newtons? (ideal)
- 12.🪝 Fixed or movable pulley: which one stays in one place? (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 flat ramp (d) a smaller rod (axle)
- 14.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 15.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 16.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 18.🪝 A pulley system lifts a 560 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 19.True or false: a movable pulley stays in one place. (a) False (b) True
- 20.🪝 A bucket weighing 300 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 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)
- 22.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 23.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 24.🪝 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)
- 25.True or false: a movable pulley needs effort = load. (a) False (b) True
- 26.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 720 N bucket on the axle, in newtons? (ideal)
- 27.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 28.True or false: a fixed pulley only changes direction. (a) True (b) False
- 29.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 30.🪝 A load of 750 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.🪝 What does a single fixed pulley change? (a) the colour of rope (b) gravity (c) the direction of pull (d) the size of the load
- 32.🪝 A well winch has a handle (wheel) of radius 40 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 33.🪝 A load of 120 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 pulley system has 1 rope section holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 35.🪝 A load of 480 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 37.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
- 38.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 90 N bucket on the axle, in newtons? (ideal)
- 39.True or false: a movable pulley halves the effort. (a) False (b) True
- 40.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 910 N bucket on the axle, in newtons? (ideal)
Answer key
- 4
- False
- 70
- a fixed pulley
- 5
- False
- 4
- a fixed pulley
- 280
- less effort needed
- 150
- a fixed pulley
- a smaller rod (axle)
- 8
- a fixed pulley
- 60
- 4
- 4
- False
- 300
- 390
- a movable pulley
- True
- 70
- False
- 120
- 18
- True
- 3
- 250
- the direction of pull
- 8
- 40
- 7
- 240
- 7
- 40
- 30
- True
- 130
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