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.🪝 What does a single fixed pulley change? (a) the colour of rope (b) gravity (c) the size of the load (d) the direction of pull
- 2.🪝 A pulley system lifts a 520 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 3.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 4.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 5.🪝 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)
- 6.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 7.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 8.🪝 A load of 360 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 9.🪝 A bucket weighing 170 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 well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 11.🪝 A bucket weighing 100 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 12.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 13.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 14.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a smaller rod (axle) (d) a loose rope
- 15.True or false: a fixed pulley rises with the load. (a) False (b) True
- 16.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 18.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 19.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 20.🪝 A winch has a wheel of radius 8 cm and an axle of radius 4 cm. What effort on the wheel lifts a 400 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 5 m, how many metres of rope must you pull?
- 22.🪝 A load of 560 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 23.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 680 N bucket on the axle, in newtons? (ideal)
- 24.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 25.🪝 A bucket weighing 450 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.🪝 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)
- 27.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 28.🪝 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?
- 29.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 30.🪝 A pulley system lifts a 240 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 31.🪝 A pulley system lifts a 200 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 32.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 33.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 34.True or false: a movable pulley only changes direction. (a) False (b) True
- 35.🪝 A pulley system lifts a 440 N load with an effort of 110 N. What is its mechanical advantage (MA)?
- 36.🪝 A load of 660 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 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)
- 38.🪝 A well winch has a handle (wheel) of radius 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 39.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 40.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
Answer key
- the direction of pull
- 4
- a movable pulley
- a fixed pulley
- 210
- True
- a fixed pulley
- 120
- 170
- 2
- 100
- a movable pulley
- 4
- a smaller rod (axle)
- False
- a fixed pulley
- 4
- 4
- a fixed pulley
- 200
- 5
- 280
- 170
- 7
- 450
- 290
- 4
- 8
- True
- 2
- 4
- 6
- 3
- False
- 4
- 220
- 60
- 7
- a movable pulley
- 80
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