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 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 2.🪝 More rope sections holding a load means … (a) no change (b) the load floats (c) less effort needed (d) more effort needed
- 3.🪝 A bucket weighing 40 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a smaller rod (axle) (d) a loose rope
- 5.🪝 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?
- 6.True or false: a fixed pulley halves the effort. (a) True (b) False
- 7.🪝 A load of 520 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 8.True or false: a movable pulley needs effort = load. (a) True (b) False
- 9.🪝 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)
- 10.🪝 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)
- 11.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 12.🪝 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)
- 13.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 14.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 15.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 16.🪝 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)
- 17.🪝 A winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1140 N bucket on the axle, in newtons? (ideal)
- 18.🪝 A pulley system lifts a 400 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 19.🪝 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?
- 20.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 21.🪝 A bucket weighing 30 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 22.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the size of the load (c) the colour of rope (d) gravity
- 23.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 24.True or false: a fixed pulley stays in one place. (a) False (b) True
- 25.🪝 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?
- 26.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 27.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 28.🪝 A load of 1040 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1600 N bucket on the axle, in newtons? (ideal)
- 30.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 31.True or false: a movable pulley stays in one place. (a) True (b) False
- 32.🪝 A winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 660 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A well winch has a handle (wheel) of radius 32 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 34.True or false: a movable pulley halves the effort. (a) True (b) False
- 35.🪝 A pulley system lifts a 760 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 36.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 37.🪝 A bucket weighing 260 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.🪝 A winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 39.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 40.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
Answer key
- 3
- less effort needed
- 40
- a smaller rod (axle)
- 2
- False
- 130
- False
- 350
- 440
- a fixed pulley
- 400
- 30
- True
- a movable pulley
- 110
- 190
- 4
- 4
- 200
- 30
- the direction of pull
- 15
- True
- 24
- False
- a movable pulley
- 260
- 200
- 1
- False
- 110
- 8
- True
- 4
- 8
- 260
- 80
- a movable pulley
- 3
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