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 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 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.🪝 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)
- 4.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 520 N bucket on the axle, in newtons? (ideal)
- 5.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 6.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 7.🪝 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?
- 8.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 9.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 570 N bucket on the axle, in newtons? (ideal)
- 10.🪝 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?
- 11.True or false: a movable pulley rises with the load. (a) False (b) True
- 12.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 13.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 14.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 15.True or false: a fixed pulley only changes direction. (a) False (b) True
- 16.🪝 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?
- 17.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 18.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 19.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) less effort needed (d) the load floats
- 20.🪝 What does a single fixed pulley change? (a) the direction of pull (b) gravity (c) the size of the load (d) the colour of rope
- 21.🪝 A pulley system lifts a 660 N load with an effort of 220 N. What is its mechanical advantage (MA)?
- 22.🪝 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)
- 23.🪝 A bucket weighing 70 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 24.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1050 N bucket on the axle, in newtons? (ideal)
- 25.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 26.True or false: a movable pulley stays in one place. (a) True (b) False
- 27.True or false: a movable pulley halves the effort. (a) True (b) False
- 28.🪝 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?
- 29.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 30.🪝 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?
- 31.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 32.🪝 A load of 760 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 A bucket weighing 210 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 34.True or false: a fixed pulley halves the effort. (a) True (b) False
- 35.🪝 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)
- 36.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 560 N bucket on the axle, in newtons? (ideal)
- 37.True or false: a movable pulley only changes direction. (a) False (b) True
- 38.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 39.🪝 A pulley system lifts a 240 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 40.🪝 A bucket weighing 330 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
Answer key
- 3
- a smaller rod (axle)
- 240
- 130
- False
- a fixed pulley
- 30
- 5
- 190
- 28
- True
- a movable pulley
- False
- 5
- True
- 4
- a movable pulley
- True
- less effort needed
- the direction of pull
- 3
- 30
- 70
- 150
- 9
- False
- True
- 24
- 12
- 24
- 5
- 190
- 210
- False
- 160
- 80
- False
- a movable pulley
- 3
- 330
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