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 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 2.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 3.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) less effort needed (d) more effort needed
- 4.🪝 A pulley system lifts a 540 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 5.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 6.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 7.🪝 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)
- 8.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the size of the load (c) the colour of rope (d) gravity
- 9.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 10.🪝 A winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 60 N bucket on the axle, in newtons? (ideal)
- 11.🪝 A pulley system lifts a 150 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 12.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 13.🪝 A load of 320 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 14.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 15.🪝 A load of 280 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 17.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 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.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 20.🪝 A bucket weighing 350 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 pulley system lifts a 200 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 22.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 23.True or false: a movable pulley stays in one place. (a) True (b) False
- 24.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 25.🪝 A load of 560 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 26.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 27.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 28.🪝 A bucket weighing 140 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.True or false: a movable pulley only changes direction. (a) True (b) False
- 30.🪝 A bucket weighing 400 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.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 32.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 33.🪝 A pulley system lifts an 800 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 34.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 35.🪝 A load of 360 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 pulley system lifts a 510 N load with an effort of 170 N. What is its mechanical advantage (MA)?
- 37.🪝 A bucket weighing 310 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.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 39.🪝 A pulley system lifts a 240 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 40.True or false: a fixed pulley only changes direction. (a) False (b) True
Answer key
- 6
- 80
- less effort needed
- 2
- a movable pulley
- a fixed pulley
- 300
- the direction of pull
- 5
- 30
- 3
- True
- 160
- True
- 70
- a fixed pulley
- a movable pulley
- 40
- 3
- 350
- 2
- 8
- False
- 16
- 280
- False
- 30
- 140
- False
- 400
- False
- a fixed pulley
- 4
- 2
- 180
- 3
- 310
- a movable pulley
- 3
- True
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