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.True or false: a fixed pulley rises with the load. (a) False (b) True
- 2.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 3.🪝 A pulley system lifts a 240 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 4.True or false: a fixed pulley only changes direction. (a) False (b) True
- 5.🪝 A load of 800 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 6.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 7.🪝 A pulley system lifts a 160 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 8.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 9.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 10.🪝 A winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 11.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 12.🪝 A bucket weighing 60 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 13.🪝 A winch has a wheel of radius 24 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1140 N bucket on the axle, in newtons? (ideal)
- 14.🪝 A bucket weighing 400 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 15.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 16.🪝 A bucket weighing 110 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.🪝 A load of 720 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.True or false: a movable pulley only changes direction. (a) False (b) True
- 19.🪝 A bucket weighing 370 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 20.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 21.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the colour of rope (c) gravity (d) the size of the load
- 22.🪝 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)
- 23.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 24.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 25.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 26.🪝 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?
- 27.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 28.🪝 A load of 690 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 30.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a loose rope (d) a flat ramp
- 31.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 32.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) no change (d) the load floats
- 33.🪝 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?
- 34.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 35.🪝 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)
- 36.🪝 A load of 920 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 A bucket weighing 120 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.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 39.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 40.🪝 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)
Answer key
- False
- 2
- 2
- True
- 200
- True
- 4
- a fixed pulley
- True
- 70
- True
- 60
- 190
- 400
- a movable pulley
- 110
- 180
- False
- 370
- a fixed pulley
- the direction of pull
- 60
- 40
- a fixed pulley
- a movable pulley
- 3
- 40
- 230
- 3
- a smaller rod (axle)
- 32
- less effort needed
- 2
- 160
- 130
- 230
- 120
- True
- 60
- 190
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