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 bucket weighing 80 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 2.🪝 A bucket weighing 120 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 3.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 4.🪝 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)
- 5.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 6.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 7.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 8.🪝 A bucket weighing 310 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 9.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 10.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 11.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 12.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 13.🪝 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?
- 14.🪝 A load of 120 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 What does a single fixed pulley change? (a) gravity (b) the colour of rope (c) the direction of pull (d) the size of the load
- 16.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 140 N bucket on the axle, in newtons? (ideal)
- 17.True or false: a movable pulley rises with the load. (a) False (b) True
- 18.True or false: a fixed pulley halves the effort. (a) True (b) False
- 19.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 20.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 21.True or false: a fixed pulley rises with the load. (a) True (b) False
- 22.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 23.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 24.🪝 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
- 25.🪝 A load of 720 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 26.🪝 A load of 280 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 27.🪝 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?
- 28.🪝 A pulley system lifts an 80 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 29.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 30.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 31.🪝 A bucket weighing 370 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.🪝 A bucket weighing 100 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 fixed pulley only changes direction. (a) False (b) True
- 34.🪝 A well winch has a handle (wheel) of radius 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 35.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 36.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 37.🪝 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)
- 38.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 39.🪝 A bucket weighing 470 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 40.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
Answer key
- 80
- 120
- less effort needed
- 250
- False
- True
- a fixed pulley
- 310
- 160
- 21
- a movable pulley
- 4
- 12
- 60
- the direction of pull
- 20
- True
- False
- False
- 5
- False
- a movable pulley
- 8
- a smaller rod (axle)
- 180
- 70
- 15
- 2
- a movable pulley
- a fixed pulley
- 370
- 100
- True
- 7
- False
- 2
- 70
- a fixed pulley
- 470
- 60
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