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 bucket weighing 350 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 2.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 3.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 250 N bucket on the axle, in newtons? (ideal)
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a sharp wedge (d) a flat ramp
- 5.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 6.🪝 A pulley system lifts a 200 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 7.🪝 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)
- 8.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 9.🪝 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?
- 10.True or false: a fixed pulley stays in one place. (a) True (b) False
- 11.🪝 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)
- 12.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 13.🪝 A bucket weighing 50 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.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) the load floats (d) no change
- 15.🪝 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)
- 16.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 17.🪝 A winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 18.🪝 A load of 720 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.🪝 A load of 300 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 20.🪝 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?
- 21.🪝 A load of 60 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 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)
- 23.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
- 24.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the size of the load (c) gravity (d) the colour of rope
- 25.🪝 A pulley system lifts a 1120 N load with an effort of 280 N. What is its mechanical advantage (MA)?
- 26.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 27.True or false: a movable pulley stays in one place. (a) False (b) True
- 28.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 29.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 30.🪝 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?
- 31.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 32.🪝 A pulley system lifts a 520 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 33.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 34.True or false: a fixed pulley rises with the load. (a) True (b) False
- 35.True or false: a fixed pulley halves the effort. (a) False (b) True
- 36.🪝 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)
- 37.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 38.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 39.🪝 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)
- 40.🪝 A load of 520 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 350
- 7
- 50
- a smaller rod (axle)
- False
- 2
- 60
- a fixed pulley
- 10
- True
- 210
- False
- 50
- less effort needed
- 110
- 3
- 40
- 240
- 150
- 3
- 20
- 410
- 50
- the direction of pull
- 4
- a movable pulley
- False
- a fixed pulley
- a fixed pulley
- 16
- 4
- 4
- 120
- False
- False
- 50
- 24
- 80
- 190
- 260
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