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 400 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 2.🪝 A load of 540 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.True or false: a fixed pulley stays in one place. (a) False (b) True
- 4.True or false: a movable pulley stays in one place. (a) False (b) True
- 5.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 6.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 7.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a sharp wedge (c) a flat ramp (d) a loose rope
- 8.True or false: a movable pulley only changes direction. (a) True (b) False
- 9.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 10.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 11.🪝 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)
- 12.True or false: a movable pulley needs effort = load. (a) True (b) False
- 13.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 14.True or false: a movable pulley halves the effort. (a) False (b) True
- 15.🪝 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)
- 16.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 17.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 18.🪝 A bucket weighing 490 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 19.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed 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 140 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 6 m, how many metres of rope must you pull?
- 22.🪝 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?
- 23.🪝 What does a single fixed pulley change? (a) the size of the load (b) the colour of rope (c) the direction of pull (d) gravity
- 24.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 25.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 26.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 27.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) more effort needed (d) less effort needed
- 28.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 29.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 30.🪝 A bucket weighing 410 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 pulley system lifts a 320 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 32.🪝 A pulley system lifts a 1080 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 33.🪝 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)
- 34.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 500 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A bucket weighing 150 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 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 37.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 38.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 39.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 40.🪝 A bucket weighing 220 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
Answer key
- 200
- 180
- True
- False
- a movable pulley
- a movable pulley
- a smaller rod (axle)
- False
- False
- 5
- 40
- False
- 3
- True
- 90
- True
- a fixed pulley
- 490
- a movable pulley
- 70
- 6
- 4
- the direction of pull
- 3
- True
- 200
- less effort needed
- 4
- a fixed pulley
- 410
- 4
- 4
- 130
- 100
- 150
- 4
- True
- 3
- 30
- 220
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