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 240 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 2.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 3.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 4.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts a 520 N bucket on the axle, in newtons? (ideal)
- 5.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 6.True or false: a fixed pulley stays in one place. (a) False (b) True
- 7.🪝 A bucket weighing 270 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.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 9.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 10.🪝 A load of 480 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 11.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 12.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 680 N bucket on the axle, in newtons? (ideal)
- 13.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a loose rope (c) a flat ramp (d) a smaller rod (axle)
- 14.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 15.True or false: a movable pulley rises with the load. (a) False (b) True
- 16.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 18.🪝 More rope sections holding a load means … (a) the load floats (b) less effort needed (c) more effort needed (d) no change
- 19.True or false: a movable pulley halves the effort. (a) False (b) True
- 20.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1040 N bucket on the axle, in newtons? (ideal)
- 21.🪝 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?
- 22.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 23.True or false: a movable pulley stays in one place. (a) False (b) True
- 24.🪝 A load of 1080 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 25.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 26.True or false: a movable pulley needs effort = load. (a) False (b) True
- 27.🪝 A load of 340 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 28.🪝 A load of 420 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 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 30.🪝 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)
- 31.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 780 N bucket on the axle, in newtons? (ideal)
- 32.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 720 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 34.🪝 A load of 440 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 35.🪝 A bucket weighing 210 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 36.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 37.🪝 A bucket weighing 90 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.True or false: a fixed pulley only changes direction. (a) False (b) True
- 39.🪝 A pulley system lifts a 390 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 40.🪝 A load of 920 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 80
- True
- False
- 130
- a fixed pulley
- True
- 270
- 12
- a movable pulley
- 160
- 6
- 170
- a smaller rod (axle)
- a movable pulley
- True
- a movable pulley
- 180
- less effort needed
- True
- 130
- 8
- a fixed pulley
- False
- 270
- a fixed pulley
- False
- 170
- 140
- 8
- 80
- 130
- 180
- 2
- 220
- 210
- 2
- 90
- True
- 3
- 230
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