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 wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a sharp wedge (c) a flat ramp (d) a loose rope
- 2.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 750 N bucket on the axle, in newtons? (ideal)
- 3.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 4.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 5.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 6.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 7.🪝 A well winch has a handle (wheel) of radius 7 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 8.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 9.🪝 A load of 90 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 10.🪝 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?
- 11.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 12.True or false: a fixed pulley halves the effort. (a) False (b) True
- 13.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 14.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 15.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 16.True or false: a fixed pulley stays in one place. (a) True (b) False
- 17.🪝 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)
- 18.🪝 What does a single fixed pulley change? (a) the colour of rope (b) the direction of pull (c) the size of the load (d) gravity
- 19.🪝 A bucket weighing 240 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 20.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 21.🪝 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)
- 22.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 260 N bucket on the axle, in newtons? (ideal)
- 23.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 24.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 25.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) no change (d) the load floats
- 26.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 27.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 28.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 29.True or false: a movable pulley rises with the load. (a) False (b) True
- 30.🪝 A load of 540 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 32.🪝 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)
- 33.True or false: a movable pulley halves the effort. (a) False (b) True
- 34.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 35.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 36.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1020 N bucket on the axle, in newtons? (ideal)
- 37.🪝 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)
- 38.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 39.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 40.True or false: a movable pulley only changes direction. (a) False (b) True
Answer key
- a smaller rod (axle)
- 150
- True
- False
- 32
- 6
- 7
- a fixed pulley
- 30
- 7
- False
- False
- a fixed pulley
- a movable pulley
- 4
- True
- 70
- the direction of pull
- 240
- 4
- 350
- 130
- a movable pulley
- 7
- less effort needed
- a fixed pulley
- 18
- 60
- True
- 180
- True
- 460
- True
- a movable pulley
- 3
- 170
- 30
- 6
- 7
- False
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