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 winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A load of 450 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.🪝 A load of 180 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 4.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 5.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 490 N bucket on the axle, in newtons? (ideal)
- 6.🪝 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)
- 7.🪝 A bucket weighing 430 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 needs effort = load? (a) a movable pulley (b) a fixed pulley
- 9.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 11.True or false: a fixed pulley rises with the load. (a) True (b) False
- 12.True or false: a fixed pulley stays in one place. (a) True (b) False
- 13.🪝 A load of 120 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 14.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 15.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 16.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 17.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 18.True or false: a movable pulley halves the effort. (a) False (b) True
- 19.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a loose rope (d) a flat ramp
- 20.True or false: a fixed pulley only changes direction. (a) True (b) False
- 21.🪝 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?
- 22.🪝 A well winch has a handle (wheel) of radius 7 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 23.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 24.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 25.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 26.🪝 A pulley system lifts a 960 N load with an effort of 240 N. What is its mechanical advantage (MA)?
- 27.True or false: a movable pulley only changes direction. (a) False (b) True
- 28.🪝 A winch has a wheel of radius 18 cm and an axle of radius 3 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 29.🪝 A load of 240 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 31.🪝 A bucket weighing 150 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 32.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 33.🪝 A pulley system lifts a 760 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 34.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) no change (d) the load floats
- 35.🪝 A pulley system lifts a 390 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 36.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the colour of rope (d) the direction of pull
- 37.🪝 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)
- 38.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 39.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 40.🪝 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)
Answer key
- 100
- 150
- 60
- True
- 70
- 260
- 430
- a fixed pulley
- a fixed pulley
- 24
- False
- True
- 30
- 3
- False
- 30
- False
- True
- a smaller rod (axle)
- True
- 2
- 7
- 140
- 5
- 2
- 4
- False
- 100
- 120
- 5
- 150
- True
- 4
- less effort needed
- 3
- the direction of pull
- 170
- a fixed pulley
- a movable pulley
- 120
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