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 load of 210 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 2.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a loose rope (c) a smaller rod (axle) (d) a sharp wedge
- 3.🪝 More rope sections holding a load means … (a) no change (b) the load floats (c) more effort needed (d) less effort needed
- 4.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 450 N bucket on the axle, in newtons? (ideal)
- 5.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 6.True or false: a movable pulley needs effort = load. (a) True (b) False
- 7.True or false: a fixed pulley halves the effort. (a) True (b) False
- 8.True or false: a movable pulley rises with the load. (a) False (b) True
- 9.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 10.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 11.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 12.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1200 N bucket on the axle, in newtons? (ideal)
- 13.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 14.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 15.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 16.🪝 What does a single fixed pulley change? (a) the colour of rope (b) the size of the load (c) the direction of pull (d) gravity
- 17.🪝 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?
- 18.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 19.🪝 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?
- 20.🪝 A bucket weighing 20 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 21.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 780 N bucket on the axle, in newtons? (ideal)
- 22.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 23.True or false: a movable pulley only changes direction. (a) True (b) False
- 24.True or false: a movable pulley stays in one place. (a) False (b) True
- 25.🪝 A pulley system lifts a 120 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 26.True or false: a fixed pulley only changes direction. (a) True (b) False
- 27.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 28.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 29.🪝 A bucket weighing 130 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 well winch has a handle (wheel) of radius 20 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 31.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 720 N bucket on the axle, in newtons? (ideal)
- 32.🪝 A load of 320 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 well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 34.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 35.🪝 A pulley system lifts a 260 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 36.🪝 A load of 880 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 A bucket weighing 250 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.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 39.🪝 A well winch has a handle (wheel) of radius 40 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 40.🪝 A load of 270 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 70
- a smaller rod (axle)
- less effort needed
- 90
- a movable pulley
- False
- False
- True
- True
- 2
- a fixed pulley
- 150
- 4
- a movable pulley
- a fixed pulley
- the direction of pull
- 12
- a movable pulley
- 7
- 20
- 130
- a fixed pulley
- False
- False
- 2
- True
- 7
- False
- 130
- 4
- 120
- 160
- 6
- 4
- 2
- 220
- 250
- a fixed pulley
- 8
- 90
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