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.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) the load floats (d) less effort needed
- 2.🪝 A pulley system lifts a 60 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 3.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a sharp wedge (d) a flat ramp
- 4.🪝 A pulley system lifts a 200 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 5.🪝 A load of 480 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 6.🪝 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)
- 7.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 8.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 9.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 10.🪝 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)
- 11.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 12.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 13.🪝 A load of 120 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 14.🪝 A load of 810 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 A pulley system lifts a 1000 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 16.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 17.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 18.True or false: a fixed pulley only changes direction. (a) False (b) True
- 19.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 700 N bucket on the axle, in newtons? (ideal)
- 20.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 21.🪝 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)
- 22.🪝 A load of 400 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 24.🪝 A pulley system lifts a 100 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 25.True or false: a movable pulley needs effort = load. (a) True (b) False
- 26.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 27.🪝 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)
- 28.🪝 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)
- 29.🪝 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)
- 30.🪝 A load of 580 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.🪝 A bucket weighing 470 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 32.🪝 A pulley system lifts a 360 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 33.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 34.True or false: a movable pulley halves the effort. (a) False (b) True
- 35.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 36.🪝 A pulley system lifts a 780 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 37.🪝 A bucket weighing 380 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 well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 39.🪝 A load of 560 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 40.🪝 A bucket weighing 110 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
Answer key
- less effort needed
- 2
- a smaller rod (axle)
- 4
- 240
- 230
- 40
- True
- 5
- 490
- a fixed pulley
- a fixed pulley
- 60
- 270
- 4
- 28
- 8
- True
- 100
- a movable pulley
- 370
- 100
- a fixed pulley
- 2
- False
- False
- 50
- 400
- 200
- 290
- 470
- 4
- 6
- True
- True
- 3
- 380
- 5
- 140
- 110
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