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 pulley system lifts an 80 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 2.🪝 More rope sections holding a load means … (a) no change (b) more effort needed (c) the load floats (d) less effort needed
- 3.🪝 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)
- 4.🪝 What does a single fixed pulley change? (a) gravity (b) the colour of rope (c) the size of the load (d) the direction of pull
- 5.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 6.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 550 N bucket on the axle, in newtons? (ideal)
- 7.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 8.🪝 A load of 1160 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 9.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 10.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 11.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 12.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 13.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 14.🪝 A bucket weighing 410 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 15.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 16.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 17.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 18.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 19.🪝 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?
- 20.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1040 N bucket on the axle, in newtons? (ideal)
- 21.🪝 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?
- 22.🪝 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?
- 23.🪝 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)
- 24.True or false: a movable pulley stays in one place. (a) True (b) False
- 25.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 26.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 27.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 28.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 29.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 30.True or false: a fixed pulley only changes direction. (a) True (b) False
- 31.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 32.🪝 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?
- 33.🪝 A bucket weighing 140 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 movable pulley rises with the load. (a) True (b) False
- 35.🪝 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
- 36.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 37.🪝 A bucket weighing 170 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 pulley system lifts a 580 N load with an effort of 290 N. What is its mechanical advantage (MA)?
- 39.🪝 A load of 320 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 40.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
Answer key
- 4
- less effort needed
- 130
- the direction of pull
- 8
- 110
- a movable pulley
- 290
- a movable pulley
- 2
- 120
- True
- a movable pulley
- 410
- True
- 7
- a fixed pulley
- 16
- 9
- 130
- 15
- 24
- 370
- False
- a fixed pulley
- 6
- 30
- a fixed pulley
- a movable pulley
- True
- True
- 18
- 140
- True
- a smaller rod (axle)
- 6
- 170
- 2
- 80
- 6
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