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 pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 2.True or false: a movable pulley only changes direction. (a) True (b) False
- 3.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the direction of pull (d) the colour of rope
- 4.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
- 5.🪝 A pulley system lifts a 280 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 6.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 7.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 8.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 9.🪝 A well winch has a handle (wheel) of radius 40 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 10.🪝 A pulley system lifts a 440 N load with an effort of 220 N. What is its mechanical advantage (MA)?
- 11.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 12.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 13.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1080 N bucket on the axle, in newtons? (ideal)
- 14.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 15.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 16.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 17.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 18.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 19.True or false: a fixed pulley rises with the load. (a) False (b) True
- 20.🪝 A pulley system lifts a 200 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 21.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 280 N bucket on the axle, in newtons? (ideal)
- 22.🪝 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?
- 23.🪝 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)
- 24.🪝 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)
- 25.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 26.🪝 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)
- 27.🪝 A bucket weighing 190 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 28.🪝 A pulley system lifts a 160 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 29.🪝 A load of 120 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 31.🪝 A pulley system lifts a 1040 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 32.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 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.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 35.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 36.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 37.🪝 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)
- 38.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 39.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 40.True or false: a movable pulley needs effort = load. (a) True (b) False
Answer key
- 4
- False
- the direction of pull
- 40
- 2
- a movable pulley
- 6
- 4
- 8
- 2
- 2
- 7
- 180
- a fixed pulley
- 21
- 3
- 16
- a movable pulley
- False
- 4
- 70
- 12
- 240
- 90
- 8
- 50
- 190
- 4
- 40
- True
- 4
- 20
- 6
- a fixed pulley
- 18
- True
- 330
- less effort needed
- False
- False
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