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 well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 2.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 3.🪝 A bucket weighing 40 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.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 5.🪝 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?
- 6.🪝 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)
- 7.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 8.🪝 What does a single fixed pulley change? (a) gravity (b) the direction of pull (c) the size of the load (d) the colour of rope
- 9.🪝 A bucket weighing 450 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 10.🪝 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?
- 11.True or false: a fixed pulley only changes direction. (a) False (b) True
- 12.🪝 A bucket weighing 50 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 13.🪝 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?
- 14.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 15.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 60 N bucket on the axle, in newtons? (ideal)
- 16.🪝 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)
- 17.🪝 A pulley system lifts a 180 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 18.🪝 A load of 180 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.🪝 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?
- 20.🪝 A bucket weighing 460 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 190 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.🪝 A load of 460 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 bucket weighing 490 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 24.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a flat ramp (c) a sharp wedge (d) a smaller rod (axle)
- 25.🪝 A pulley system lifts a 480 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 26.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 27.🪝 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)
- 28.🪝 A bucket weighing 200 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 29.🪝 A load of 100 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 31.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 32.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 33.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 34.True or false: a movable pulley stays in one place. (a) False (b) True
- 35.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 36.True or false: a movable pulley only changes direction. (a) False (b) True
- 37.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 38.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1190 N bucket on the axle, in newtons? (ideal)
- 39.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 40.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
Answer key
- 5
- a movable pulley
- 40
- less effort needed
- 8
- 480
- a fixed pulley
- the direction of pull
- 450
- 4
- True
- 50
- 24
- True
- 20
- 20
- 3
- 90
- 7
- 460
- 190
- 230
- 490
- a smaller rod (axle)
- 4
- 2
- 70
- 200
- 50
- a movable pulley
- 2
- 21
- a fixed pulley
- False
- a fixed pulley
- False
- 60
- 170
- 2
- a fixed pulley
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