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 load of 260 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 2.🪝 A winch has a wheel of radius 24 cm and an axle of radius 4 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 3.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 4.🪝 More rope sections holding a load means … (a) more effort needed (b) the load floats (c) no change (d) less effort needed
- 5.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 6.🪝 A bucket weighing 340 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.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 8.🪝 A bucket weighing 290 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 9.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 10.🪝 A pulley system lifts an 800 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 11.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 12.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 13.🪝 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)
- 14.🪝 A bucket weighing 20 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 15.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 16.🪝 A pulley system lifts a 480 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 17.🪝 A load of 880 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.🪝 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)
- 19.🪝 What does a single fixed pulley change? (a) the size of the load (b) gravity (c) the direction of pull (d) the colour of rope
- 20.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 21.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 22.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 340 N bucket on the axle, in newtons? (ideal)
- 23.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 24.🪝 A bucket weighing 230 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 well winch has a handle (wheel) of radius 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 26.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 27.🪝 A bucket weighing 100 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 load of 210 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 well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 30.🪝 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)
- 31.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 510 N bucket on the axle, in newtons? (ideal)
- 32.True or false: a fixed pulley only changes direction. (a) True (b) False
- 33.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 34.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 35.🪝 A load of 540 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 37.True or false: a movable pulley needs effort = load. (a) False (b) True
- 38.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 39.True or false: a movable pulley only changes direction. (a) True (b) False
- 40.True or false: a movable pulley rises with the load. (a) True (b) False
Answer key
- 130
- 70
- 5
- less effort needed
- a movable pulley
- 340
- 6
- 290
- False
- 4
- a movable pulley
- a fixed pulley
- 130
- 20
- a movable pulley
- 4
- 220
- 40
- the direction of pull
- True
- 2
- 170
- 24
- 230
- 8
- 16
- 100
- 70
- 6
- 390
- 170
- True
- a fixed pulley
- a fixed pulley
- 180
- 10
- False
- 2
- False
- True
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