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) gravity (b) the direction of pull (c) the size of the load (d) the colour of rope
- 2.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 3.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 4.🪝 A load of 300 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 5.🪝 A bucket weighing 230 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.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 700 N bucket on the axle, in newtons? (ideal)
- 7.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 780 N bucket on the axle, in newtons? (ideal)
- 8.🪝 A bucket weighing 140 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 9.🪝 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?
- 10.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 11.🪝 A load of 380 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 12.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) less effort needed (d) no change
- 13.🪝 A bucket weighing 380 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 14.🪝 A load of 150 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 16.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A pulley system lifts a 720 N load with an effort of 180 N. What is its mechanical advantage (MA)?
- 18.🪝 A load of 280 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 20.🪝 A load of 90 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 21.🪝 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)
- 22.🪝 A pulley system lifts a 120 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 23.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 24.🪝 A pulley system lifts a 300 N load with an effort of 150 N. What is its mechanical advantage (MA)?
- 25.🪝 A bucket weighing 460 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 pulley system lifts a 1160 N load with an effort of 290 N. What is its mechanical advantage (MA)?
- 27.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 28.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 29.🪝 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?
- 30.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 31.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 32.🪝 A load of 500 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 34.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts an 840 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 36.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 37.🪝 A pulley system lifts a 630 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 38.🪝 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?
- 39.True or false: a movable pulley rises with the load. (a) False (b) True
- 40.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
Answer key
- the direction of pull
- True
- a fixed pulley
- 100
- 230
- 140
- 130
- 140
- 3
- 12
- 190
- less effort needed
- 380
- 50
- a movable pulley
- 40
- 4
- 140
- a movable pulley
- 30
- 60
- 2
- 7
- 2
- 460
- 4
- 6
- 18
- 4
- False
- 7
- 250
- 28
- 120
- 7
- 80
- 3
- 6
- True
- 3
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