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 winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 2.True or false: a movable pulley only changes direction. (a) True (b) False
- 3.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 4.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 5.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a loose rope (c) a sharp wedge (d) a smaller rod (axle)
- 6.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 7.🪝 A pulley system lifts a 630 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 8.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 9.🪝 A pulley system lifts a 320 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 10.True or false: a movable pulley halves the effort. (a) False (b) True
- 11.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) the load floats (d) less effort needed
- 12.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
- 13.🪝 A pulley system lifts a 320 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 14.🪝 A winch has a wheel of radius 40 cm and an axle of radius 5 cm. What effort on the wheel lifts a 320 N bucket on the axle, in newtons? (ideal)
- 15.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 16.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A pulley system lifts a 360 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 18.True or false: a fixed pulley stays in one place. (a) True (b) False
- 19.🪝 A load of 60 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 20.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 260 N bucket on the axle, in newtons? (ideal)
- 21.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 22.🪝 A load of 240 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 24.True or false: a fixed pulley only changes direction. (a) False (b) True
- 25.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 26.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 27.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 28.🪝 A pulley system lifts a 900 N load with an effort of 300 N. What is its mechanical advantage (MA)?
- 29.🪝 A bucket weighing 330 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.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 31.🪝 A bucket weighing 70 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 bucket weighing 50 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 33.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 34.True or false: a fixed pulley rises with the load. (a) True (b) False
- 35.🪝 A load of 160 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 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)
- 37.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 38.🪝 A winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 90 N bucket on the axle, in newtons? (ideal)
- 39.🪝 A pulley system lifts a 420 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 40.🪝 A load of 520 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
- 120
- False
- a movable pulley
- False
- a smaller rod (axle)
- a movable pulley
- 3
- 12
- 2
- True
- less effort needed
- 50
- 4
- 40
- 4
- a movable pulley
- 3
- True
- 20
- 130
- 40
- 120
- a fixed pulley
- True
- 3
- 2
- 5
- 3
- 330
- a fixed pulley
- 70
- 50
- True
- False
- 40
- 180
- True
- 30
- 2
- 130
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