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 bucket weighing 320 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 3.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 4.🪝 A well winch has a handle (wheel) of radius 40 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 5.🪝 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)
- 6.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a sharp wedge (c) a loose rope (d) a flat ramp
- 7.True or false: a movable pulley halves the effort. (a) True (b) False
- 8.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 390 N bucket on the axle, in newtons? (ideal)
- 9.🪝 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)
- 10.🪝 A bucket weighing 160 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 stays in one place? (a) a fixed pulley (b) a movable pulley
- 12.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 13.True or false: a fixed pulley halves the effort. (a) False (b) True
- 14.🪝 A load of 450 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 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)
- 16.🪝 A bucket weighing 240 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 17.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 18.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 19.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 20.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 21.🪝 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)
- 22.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 23.🪝 A pulley system lifts a 460 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 24.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 25.🪝 A bucket weighing 130 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 26.True or false: a fixed pulley stays in one place. (a) False (b) True
- 27.🪝 A load of 1200 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 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?
- 29.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 30.🪝 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)
- 31.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 32.🪝 A pulley system lifts a 1080 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 33.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 34.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 35.🪝 A load of 1040 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 37.True or false: a movable pulley stays in one place. (a) True (b) False
- 38.🪝 A load of 360 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.🪝 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)
- 40.🪝 A pulley system lifts a 320 N load with an effort of 160 N. What is its mechanical advantage (MA)?
Answer key
- less effort needed
- 320
- 2
- 8
- 20
- a smaller rod (axle)
- True
- 130
- 300
- 160
- a fixed pulley
- 3
- False
- 150
- 230
- 240
- a movable pulley
- True
- False
- a fixed pulley
- 220
- 7
- 2
- a movable pulley
- 130
- True
- 300
- 12
- 3
- 50
- False
- 4
- 8
- 3
- 260
- 2
- False
- 90
- 160
- 2
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