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 needs effort = load. (a) False (b) True
- 2.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 3.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 4.🪝 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)
- 5.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 6.🪝 More rope sections holding a load means … (a) less effort needed (b) more effort needed (c) the load floats (d) no change
- 7.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 8.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 9.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 10.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 11.True or false: a movable pulley stays in one place. (a) True (b) False
- 12.🪝 A bucket weighing 360 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 bucket weighing 180 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 wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a flat ramp (d) a loose rope
- 15.🪝 A load of 540 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 16.True or false: a movable pulley only changes direction. (a) False (b) True
- 17.🪝 A load of 1120 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 18.🪝 A load of 440 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.🪝 A pulley system lifts a 1040 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 20.🪝 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?
- 21.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the direction of pull (d) the colour of rope
- 22.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 23.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 24.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 25.🪝 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)
- 26.🪝 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)
- 27.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 28.🪝 A bucket weighing 280 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 29.🪝 A load of 100 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 31.🪝 A load of 510 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 32.True or false: a fixed pulley halves the effort. (a) False (b) True
- 33.True or false: a movable pulley halves the effort. (a) False (b) True
- 34.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 36.True or false: a fixed pulley rises with the load. (a) True (b) False
- 37.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 38.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 39.🪝 A pulley system lifts a 90 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 40.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
Answer key
- True
- 5
- a fixed pulley
- 220
- 8
- less effort needed
- 12
- a movable pulley
- a movable pulley
- 40
- False
- 360
- 180
- a smaller rod (axle)
- 270
- False
- 280
- 110
- 4
- 28
- the direction of pull
- a fixed pulley
- 7
- False
- 380
- 140
- 3
- 280
- 50
- a fixed pulley
- 170
- False
- True
- 180
- 70
- False
- False
- 8
- 3
- 14
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