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 well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 2.🪝 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?
- 3.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) less effort needed (d) no change
- 4.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 5.🪝 A wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a flat ramp (c) a loose rope (d) a sharp wedge
- 6.🪝 A pulley system lifts a 600 N load with an effort of 150 N. What is its mechanical advantage (MA)?
- 7.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 8.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 9.🪝 A load of 810 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 10.True or false: a fixed pulley stays in one place. (a) False (b) True
- 11.🪝 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
- 12.🪝 A load of 760 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 13.🪝 A bucket weighing 440 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 bucket weighing 70 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.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 16.🪝 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)
- 17.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 18.🪝 A pulley system lifts a 580 N load with an effort of 290 N. What is its mechanical advantage (MA)?
- 19.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 20.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 21.🪝 A load of 160 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 bucket weighing 470 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 23.🪝 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)
- 24.🪝 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)
- 25.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 26.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 27.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 28.🪝 A load of 360 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 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)
- 30.🪝 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?
- 31.🪝 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)
- 32.🪝 A bucket weighing 480 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 33.True or false: a fixed pulley rises with the load. (a) True (b) False
- 34.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (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 8 m, how many metres of rope must you pull?
- 36.🪝 A load of 260 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.True or false: a movable pulley stays in one place. (a) False (b) True
- 38.🪝 A pulley system lifts a 210 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 39.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 40.🪝 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)
Answer key
- 5
- 12
- less effort needed
- 2
- a smaller rod (axle)
- 4
- 50
- False
- 270
- True
- the direction of pull
- 190
- 440
- 70
- 10
- 460
- a fixed pulley
- 2
- 8
- a fixed pulley
- 80
- 470
- 50
- 180
- False
- a movable pulley
- a movable pulley
- 180
- 140
- 4
- 380
- 480
- False
- a movable pulley
- 16
- 130
- False
- 3
- 60
- 120
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