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 lifts a 480 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 2.True or false: a fixed pulley only changes direction. (a) False (b) True
- 3.🪝 A load of 60 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 4.🪝 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?
- 5.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the size of the load (c) gravity (d) the colour of rope
- 6.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 7.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 8.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 9.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a sharp wedge (c) a flat ramp (d) a loose rope
- 10.🪝 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)
- 11.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 12.True or false: a movable pulley rises with the load. (a) True (b) False
- 13.🪝 A bucket weighing 80 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 14.🪝 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?
- 15.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 16.True or false: a movable pulley needs effort = load. (a) False (b) True
- 17.🪝 A bucket weighing 430 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.🪝 More rope sections holding a load means … (a) less effort needed (b) the load floats (c) more effort needed (d) no change
- 19.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts a 320 N bucket on the axle, in newtons? (ideal)
- 20.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 21.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 22.🪝 A load of 60 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts an 840 N bucket on the axle, in newtons? (ideal)
- 24.🪝 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)
- 25.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 26.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 27.🪝 A bucket weighing 330 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.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 780 N bucket on the axle, in newtons? (ideal)
- 29.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 30.🪝 A pulley system lifts a 500 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 31.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 32.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 33.🪝 A pulley system lifts a 420 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 34.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 35.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 36.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 37.🪝 A load of 870 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 38.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 39.🪝 A pulley system lifts a 570 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 40.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
Answer key
- 3
- True
- 20
- 1
- the direction of pull
- 2
- True
- a movable pulley
- a smaller rod (axle)
- 390
- a fixed pulley
- True
- 80
- 18
- 7
- False
- 430
- less effort needed
- 80
- False
- 3
- 30
- 140
- 180
- 8
- a movable pulley
- 330
- 130
- a fixed pulley
- 2
- 30
- a fixed pulley
- 3
- 5
- a fixed pulley
- a movable pulley
- 290
- 6
- 3
- 2
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