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 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 520 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 3.🪝 A bucket weighing 320 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 stays in one place? (a) a movable pulley (b) a fixed pulley
- 5.🪝 A well winch has a handle (wheel) of radius 32 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 6.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 7.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1200 N bucket on the axle, in newtons? (ideal)
- 8.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 9.🪝 More rope sections holding a load means … (a) less effort needed (b) more effort needed (c) no change (d) the load floats
- 10.🪝 A bucket weighing 60 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.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 12.True or false: a movable pulley only changes direction. (a) False (b) True
- 13.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a flat ramp (c) a loose rope (d) a sharp wedge
- 14.🪝 A load of 200 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 16.🪝 A bucket weighing 370 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 17.🪝 A load of 800 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.🪝 What does a single fixed pulley change? (a) the size of the load (b) the colour of rope (c) gravity (d) the direction of pull
- 19.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 20.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 21.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 22.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 23.🪝 A load of 920 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 24.🪝 A bucket weighing 150 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 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 26.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 27.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 28.True or false: a fixed pulley only changes direction. (a) False (b) True
- 29.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 30.True or false: a movable pulley stays in one place. (a) True (b) False
- 31.🪝 A winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 32.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 33.True or false: a fixed pulley halves the effort. (a) False (b) True
- 34.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 35.🪝 A pulley system lifts a 480 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 36.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 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 pulley system has 1 rope section holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 39.🪝 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?
- 40.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
Answer key
- 130
- 3
- 320
- a fixed pulley
- 8
- a movable pulley
- 150
- a movable pulley
- less effort needed
- 60
- 12
- False
- a smaller rod (axle)
- 50
- 2
- 370
- 200
- the direction of pull
- 160
- a fixed pulley
- a fixed pulley
- a fixed pulley
- 230
- 150
- 50
- 70
- a movable pulley
- True
- 3
- False
- 160
- 7
- False
- a movable pulley
- 3
- 60
- 180
- 1
- 5
- 30
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