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 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)
- 2.🪝 A bucket weighing 480 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.🪝 A bucket weighing 200 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 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
- 5.🪝 A load of 870 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 6.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 7.🪝 A pulley system lifts a 200 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 8.🪝 A pulley system lifts a 480 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 9.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the direction of pull (d) the colour of rope
- 10.True or false: a fixed pulley stays in one place. (a) False (b) True
- 11.True or false: a fixed pulley halves the effort. (a) True (b) False
- 12.🪝 A load of 80 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 13.🪝 More rope sections holding a load means … (a) less effort needed (b) the load floats (c) more effort needed (d) no change
- 14.🪝 A pulley system lifts a 90 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 15.🪝 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)
- 16.🪝 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)
- 17.🪝 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)
- 18.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 19.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 20.🪝 A bucket weighing 230 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 21.🪝 A load of 360 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 23.🪝 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)
- 24.🪝 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)
- 25.🪝 A load of 160 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 well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 27.🪝 A load of 1000 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 28.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 29.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 30.🪝 A winch has a wheel of radius 40 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1200 N bucket on the axle, in newtons? (ideal)
- 31.🪝 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)
- 32.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 33.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 34.🪝 A load of 720 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 35.🪝 A pulley system lifts a 220 N load with an effort of 110 N. What is its mechanical advantage (MA)?
- 36.🪝 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)
- 37.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 38.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 39.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 40.🪝 A load of 800 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 60
- 480
- 200
- a smaller rod (axle)
- 290
- True
- 2
- 3
- the direction of pull
- True
- False
- 20
- less effort needed
- 3
- 310
- 160
- 410
- False
- False
- 230
- 180
- 5
- 70
- 350
- 40
- 3
- 250
- a fixed pulley
- 3
- 150
- 460
- a movable pulley
- a fixed pulley
- 240
- 2
- 150
- 8
- True
- 100
- 200
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